{"id":"https://openalex.org/W3154592068","doi":"https://doi.org/10.1109/access.2021.3072952","title":"Design of Morlet Wavelet Neural Network for Solving a Class of Singular Pantograph Nonlinear Differential Models","display_name":"Design of Morlet Wavelet Neural Network for Solving a Class of Singular Pantograph Nonlinear Differential Models","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3154592068","doi":"https://doi.org/10.1109/access.2021.3072952","mag":"3154592068"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3072952","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3072952","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09402754.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09402754.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032408801","display_name":"Kashif Nisar","orcid":"https://orcid.org/0000-0001-8092-4665"},"institutions":[{"id":"https://openalex.org/I161371597","display_name":"Universiti of Malaysia Sabah","ror":"https://ror.org/040v70252","country_code":"MY","type":"education","lineage":["https://openalex.org/I161371597"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Kashif Nisar","raw_affiliation_strings":["Faculty of Computing and Informatics, Universiti Malaysia Sabah, Kota Kinabalu, Malaysia"],"raw_orcid":"https://orcid.org/0000-0001-8092-4665","affiliations":[{"raw_affiliation_string":"Faculty of Computing and Informatics, Universiti Malaysia Sabah, Kota Kinabalu, Malaysia","institution_ids":["https://openalex.org/I161371597"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020317036","display_name":"Zulqurnain Sabir","orcid":"https://orcid.org/0000-0001-7466-6233"},"institutions":[{"id":"https://openalex.org/I263208278","display_name":"Hazara University","ror":"https://ror.org/018y22094","country_code":"PK","type":"education","lineage":["https://openalex.org/I263208278"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Zulqurnain Sabir","raw_affiliation_strings":["Hazara University, Mansehra, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hazara University, Mansehra, Pakistan","institution_ids":["https://openalex.org/I263208278"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100740838","display_name":"Muhammad Asif Zahoor Raja","orcid":"https://orcid.org/0000-0001-9953-822X"},"institutions":[{"id":"https://openalex.org/I16076960","display_name":"COMSATS University Islamabad","ror":"https://ror.org/00nqqvk19","country_code":"PK","type":"education","lineage":["https://openalex.org/I16076960"]},{"id":"https://openalex.org/I75357094","display_name":"National Yunlin University of Science and Technology","ror":"https://ror.org/04qkq2m54","country_code":"TW","type":"education","lineage":["https://openalex.org/I75357094"]}],"countries":["PK","TW"],"is_corresponding":false,"raw_author_name":"Muhammad Asif Zahoor Raja","raw_affiliation_strings":["COMSATS University Islamabad at Attock, Attock, Pakistan","Future Technology Research Center, National Yunlin University of Science and Technology, Yunlin, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"COMSATS University Islamabad at Attock, Attock, Pakistan","institution_ids":["https://openalex.org/I16076960"]},{"raw_affiliation_string":"Future Technology Research Center, National Yunlin University of Science and Technology, Yunlin, Taiwan","institution_ids":["https://openalex.org/I75357094"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061777284","display_name":"Ag Asri Ag Ibrahim","orcid":"https://orcid.org/0000-0003-1793-5905"},"institutions":[{"id":"https://openalex.org/I161371597","display_name":"Universiti of Malaysia Sabah","ror":"https://ror.org/040v70252","country_code":"MY","type":"education","lineage":["https://openalex.org/I161371597"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Ag. Asri Ag. Ibrahim","raw_affiliation_strings":["Faculty of Computing and Informatics, Universiti Malaysia Sabah, Kota Kinabalu, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Computing and Informatics, Universiti Malaysia Sabah, Kota Kinabalu, Malaysia","institution_ids":["https://openalex.org/I161371597"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068865173","display_name":"Fevzi Erdo\u011fan","orcid":"https://orcid.org/0000-0003-3745-0198"},"institutions":[{"id":"https://openalex.org/I118567650","display_name":"Van Y\u00fcz\u00fcnc\u00fc Y\u0131l \u00dcniversitesi","ror":"https://ror.org/041jyzp61","country_code":"TR","type":"education","lineage":["https://openalex.org/I118567650"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Fevzi Erdogan","raw_affiliation_strings":["Yuzuzncu Yil University, Van, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yuzuzncu Yil University, Van, Turkey","institution_ids":["https://openalex.org/I118567650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065657427","display_name":"Muhammad Reazul Haque","orcid":"https://orcid.org/0000-0003-3531-220X"},"institutions":[{"id":"https://openalex.org/I173029219","display_name":"Multimedia University","ror":"https://ror.org/04zrbnc33","country_code":"MY","type":"education","lineage":["https://openalex.org/I173029219"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Muhammad Reazul Haque","raw_affiliation_strings":["Faculty of Computing and Informatics, Multimedia University, Cyberjaya, Malaysia"],"raw_orcid":"https://orcid.org/0000-0003-3531-220X","affiliations":[{"raw_affiliation_string":"Faculty of Computing and Informatics, Multimedia University, Cyberjaya, Malaysia","institution_ids":["https://openalex.org/I173029219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076776322","display_name":"Joel J. P. C. Rodrigues","orcid":"https://orcid.org/0000-0001-8657-3800"},"institutions":[{"id":"https://openalex.org/I3121799822","display_name":"Universidade Federal do Piau\u00ed","ror":"https://ror.org/00kwnx126","country_code":"BR","type":"education","lineage":["https://openalex.org/I3121799822"]},{"id":"https://openalex.org/I4210120471","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I4210120471"]}],"countries":["BR","PT"],"is_corresponding":false,"raw_author_name":"Joel J. P. C. Rodrigues","raw_affiliation_strings":["Covilh\u00e3 Delegation, Instituto de Telecomunica\u00e7\u00f5es, Covilh\u00e3, Portugal","Post-Graduation Program in Electrical Engineering, Federal University of Piau\u00ed (UFPI), Teresina, Brazil"],"raw_orcid":"https://orcid.org/0000-0001-8657-3800","affiliations":[{"raw_affiliation_string":"Covilh\u00e3 Delegation, Instituto de Telecomunica\u00e7\u00f5es, Covilh\u00e3, Portugal","institution_ids":["https://openalex.org/I4210120471"]},{"raw_affiliation_string":"Post-Graduation Program in Electrical Engineering, Federal University of Piau\u00ed (UFPI), Teresina, Brazil","institution_ids":["https://openalex.org/I3121799822"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046343080","display_name":"Danda B. Rawat","orcid":null},"institutions":[{"id":"https://openalex.org/I137853757","display_name":"Howard University","ror":"https://ror.org/05gt1vc06","country_code":"US","type":"education","lineage":["https://openalex.org/I137853757"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Danda B. Rawat","raw_affiliation_strings":["Data Science and Cybersecurity Center, Howard University, Washington, DC, USA"],"raw_orcid":"https://orcid.org/0000-0003-3638-3464","affiliations":[{"raw_affiliation_string":"Data Science and Cybersecurity Center, Howard University, Washington, DC, USA","institution_ids":["https://openalex.org/I137853757"]}]}],"institutions":[],"countries_distinct_count":7,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5032408801"],"corresponding_institution_ids":["https://openalex.org/I161371597"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":4.8368,"has_fulltext":true,"cited_by_count":60,"citation_normalized_percentile":{"value":0.95975503,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"9","issue":null,"first_page":"77845","last_page":"77862"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12197","display_name":"Brake Systems and Friction Analysis","score":0.9460999965667725,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9440000057220459,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pantograph","display_name":"Pantograph","score":0.8861823081970215},{"id":"https://openalex.org/keywords/morlet-wavelet","display_name":"Morlet wavelet","score":0.7155520915985107},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6187098026275635},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.5067856907844543},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.5015795230865479},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.49151119589805603},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4905676245689392},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4826367497444153},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4624306261539459},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.41591715812683105},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41123026609420776},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3755537271499634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3618376553058624},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3309907019138336},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31903788447380066},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23391807079315186},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.22794783115386963},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15551292896270752},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09165915846824646},{"id":"https://openalex.org/keywords/discrete-wavelet-transform","display_name":"Discrete wavelet transform","score":0.09069550037384033},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08832171559333801},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07238644361495972}],"concepts":[{"id":"https://openalex.org/C20756127","wikidata":"https://www.wikidata.org/wiki/Q722757","display_name":"Pantograph","level":2,"score":0.8861823081970215},{"id":"https://openalex.org/C2778280487","wikidata":"https://www.wikidata.org/wiki/Q3505077","display_name":"Morlet wavelet","level":5,"score":0.7155520915985107},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6187098026275635},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.5067856907844543},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.5015795230865479},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.49151119589805603},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4905676245689392},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4826367497444153},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4624306261539459},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.41591715812683105},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41123026609420776},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3755537271499634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3618376553058624},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3309907019138336},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31903788447380066},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23391807079315186},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.22794783115386963},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15551292896270752},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09165915846824646},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.09069550037384033},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08832171559333801},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07238644361495972},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/access.2021.3072952","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3072952","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09402754.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:shdl.mmu.edu.my:8649","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196753","display_name":"Siti Hasmah Digital Library-MMU Institutiona Repository (Multimedia University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I173029219","host_organization_name":"Multimedia University","host_organization_lineage":["https://openalex.org/I173029219"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"NonPeerReviewed"},{"id":"pmh:oai:eprints.ums.edu.my:29964","is_oa":false,"landing_page_url":"http://eprints.ums.edu.my/29964/1/Design%20of%20morlet%20wavelet%20neural%20network%20for%20solving%20a%20class%20of%20singular%20pantograph%20nonlinear%20differential%20models-Abstract.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400331","display_name":"UMS Institutional Repository (Universiti Malaysia Sabah)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I161371597","host_organization_name":"Universiti of Malaysia Sabah","host_organization_lineage":["https://openalex.org/I161371597"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:doaj.org/article:7969da954b054d2883e8d4f98c6e4103","is_oa":true,"landing_page_url":"https://doaj.org/article/7969da954b054d2883e8d4f98c6e4103","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 9, Pp 77845-77862 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3072952","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3072952","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09402754.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2144570049","display_name":null,"funder_award_id":"UIDB/50008","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3375535518","display_name":"Instituto de Telecomunica\u00e7\u00f5es","funder_award_id":"UIDB/50008/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G3850789590","display_name":null,"funder_award_id":"50008","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G497239743","display_name":null,"funder_award_id":"313036/2020-9","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G7069308684","display_name":null,"funder_award_id":"Project UIDB/50008/2020","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G8018295731","display_name":null,"funder_award_id":"313036/2020-9","funder_id":"https://openalex.org/F4320323704","funder_display_name":"Universiti Malaysia Sabah"},{"id":"https://openalex.org/G8734216529","display_name":null,"funder_award_id":"UIDB/50008/2020","funder_id":"https://openalex.org/F4320323642","funder_display_name":"Minist\u00e9rio da Ci\u00eancia, Tecnologia e Ensino Superior"}],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320323642","display_name":"Minist\u00e9rio da Ci\u00eancia, Tecnologia e Ensino Superior","ror":"https://ror.org/045b9pr88"},{"id":"https://openalex.org/F4320323704","display_name":"Universiti Malaysia Sabah","ror":"https://ror.org/040v70252"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3154592068.pdf","grobid_xml":"https://content.openalex.org/works/W3154592068.grobid-xml"},"referenced_works_count":63,"referenced_works":["https://openalex.org/W1978661233","https://openalex.org/W2014001466","https://openalex.org/W2016637885","https://openalex.org/W2045250771","https://openalex.org/W2126661253","https://openalex.org/W2162918850","https://openalex.org/W2214842323","https://openalex.org/W2314935829","https://openalex.org/W2519188502","https://openalex.org/W2536822695","https://openalex.org/W2732014993","https://openalex.org/W2759474500","https://openalex.org/W2767749538","https://openalex.org/W2792977141","https://openalex.org/W2793678410","https://openalex.org/W2794195850","https://openalex.org/W2804834318","https://openalex.org/W2856922204","https://openalex.org/W2890106249","https://openalex.org/W2893524191","https://openalex.org/W2905472194","https://openalex.org/W2906413292","https://openalex.org/W2911584081","https://openalex.org/W2913958596","https://openalex.org/W2943421318","https://openalex.org/W2971614427","https://openalex.org/W2976335594","https://openalex.org/W2981673966","https://openalex.org/W2990041205","https://openalex.org/W3003679051","https://openalex.org/W3010378320","https://openalex.org/W3015542020","https://openalex.org/W3015568951","https://openalex.org/W3015922888","https://openalex.org/W3026764435","https://openalex.org/W3033468301","https://openalex.org/W3034200507","https://openalex.org/W3035232728","https://openalex.org/W3036059498","https://openalex.org/W3038344063","https://openalex.org/W3044000910","https://openalex.org/W3045108043","https://openalex.org/W3047100770","https://openalex.org/W3047623305","https://openalex.org/W3089074983","https://openalex.org/W3091623062","https://openalex.org/W3095474933","https://openalex.org/W3102507384","https://openalex.org/W3105045451","https://openalex.org/W3107515836","https://openalex.org/W3111382674","https://openalex.org/W3113619386","https://openalex.org/W3114073959","https://openalex.org/W3119188670","https://openalex.org/W3119192211","https://openalex.org/W3120135901","https://openalex.org/W3122653692","https://openalex.org/W3127748774","https://openalex.org/W3128408547","https://openalex.org/W3129487434","https://openalex.org/W3134725663","https://openalex.org/W6662086378","https://openalex.org/W6744536043"],"related_works":["https://openalex.org/W2573375108","https://openalex.org/W4401544776","https://openalex.org/W4252833549","https://openalex.org/W4387011711","https://openalex.org/W2378529747","https://openalex.org/W2372731345","https://openalex.org/W2360526382","https://openalex.org/W2379657325","https://openalex.org/W2057677727","https://openalex.org/W2553798372"],"abstract_inverted_index":{"The":[0,31,47,109,126],"aim":[1],"of":[2,11,26,38,42,50,62,73,79,92,107,111,143,154,164],"this":[3],"study":[4],"is":[5,36,115,156],"to":[6,137,158],"design":[7],"a":[8,24],"layer":[9],"structure":[10],"feed-forward":[12],"artificial":[13],"neural":[14,66],"networks":[15,67],"using":[16,103,151],"the":[17,39,51,59,63,71,93,104,112,119,123,139,144,160,165],"Morlet":[18,64],"wavelet":[19,65],"activation":[20],"function":[21],"for":[22,128],"solving":[23],"class":[25],"pantograph":[27,33,53,95],"differential":[28,34,45,54,96],"Lane-Emden":[29,32],"models.":[30],"equation":[35],"one":[37],"important":[40],"kind":[41],"singular":[43,52,94],"functional":[44],"model.":[46],"numerical":[48],"solutions":[49],"model":[55],"are":[56,134],"presented":[57,136,157],"by":[58,102,117],"approximation":[60],"capability":[61],"(MWNNs)":[68],"accomplished":[69],"with":[70,122],"strength":[72],"global":[74],"and":[75,83,131,141,162],"local":[76],"search":[77],"terminologies":[78],"genetic":[80],"algorithm":[81,85],"(GA)":[82],"interior-point":[84],"(IPA),":[86],"i.e.,":[87],"MWNN-GAIPA.":[88,108],"Three":[89],"different":[90,148],"problems":[91],"models":[97],"have":[98],"been":[99],"numerically":[100],"solved":[101],"optimization":[105],"procedures":[106],"correctness":[110],"designed":[113,145],"MWNN-GAIPA":[114,167],"observed":[116],"comparing":[118],"obtained":[120],"results":[121],"exact":[124],"solutions.":[125],"analysis":[127,150],"3,":[129],"6":[130],"60":[132],"neurons":[133],"also":[135],"check":[138,159],"stability":[140],"performance":[142],"scheme.":[146,168],"Moreover,":[147],"statistical":[149],"forty":[152],"number":[153],"trials":[155],"convergence":[161],"accuracy":[163],"proposed":[166]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":21},{"year":2021,"cited_by_count":14}],"updated_date":"2026-05-07T13:39:58.223016","created_date":"2025-10-10T00:00:00"}
