{"id":"https://openalex.org/W4281478015","doi":"https://doi.org/10.3390/axioms11060247","title":"Exact Solutions of Nonlinear Partial Differential Equations via the New Double Integral Transform Combined with Iterative Method","display_name":"Exact Solutions of Nonlinear Partial Differential Equations via the New Double Integral Transform Combined with Iterative Method","publication_year":2022,"publication_date":"2022-05-25","ids":{"openalex":"https://openalex.org/W4281478015","doi":"https://doi.org/10.3390/axioms11060247"},"language":"en","primary_location":{"id":"doi:10.3390/axioms11060247","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11060247","pdf_url":"https://www.mdpi.com/2075-1680/11/6/247/pdf?version=1653647646","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2075-1680/11/6/247/pdf?version=1653647646","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112009697","display_name":"Shams A. Ahmed","orcid":null},"institutions":[{"id":"https://openalex.org/I199702508","display_name":"Jouf University","ror":"https://ror.org/02zsyt821","country_code":"SA","type":"education","lineage":["https://openalex.org/I199702508"]},{"id":"https://openalex.org/I78157869","display_name":"University of Gezira","ror":"https://ror.org/001mf9v16","country_code":"SD","type":"education","lineage":["https://openalex.org/I78157869"]}],"countries":["SA","SD"],"is_corresponding":false,"raw_author_name":"Shams A. Ahmed","raw_affiliation_strings":["Department of Mathematic, Faculty of Sciences and Arts, Jouf University, Tubarjal 74756, Saudi Arabia","Department of Mathematic, University of Gezira, Wad Madani 21111, Sudan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematic, Faculty of Sciences and Arts, Jouf University, Tubarjal 74756, Saudi Arabia","institution_ids":["https://openalex.org/I199702508"]},{"raw_affiliation_string":"Department of Mathematic, University of Gezira, Wad Madani 21111, Sudan","institution_ids":["https://openalex.org/I78157869"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050224380","display_name":"Ahmad Qazza","orcid":"https://orcid.org/0000-0002-8404-3897"},"institutions":[{"id":"https://openalex.org/I153687341","display_name":"Zarqa University","ror":"https://ror.org/01wf1es90","country_code":"JO","type":"education","lineage":["https://openalex.org/I153687341"]}],"countries":["JO"],"is_corresponding":true,"raw_author_name":"Ahmad Qazza","raw_affiliation_strings":["Department of Mathematics, Zarqa University, Zarqa 13110, Jordan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zarqa University, Zarqa 13110, Jordan","institution_ids":["https://openalex.org/I153687341"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025732055","display_name":"Rania Saadeh","orcid":"https://orcid.org/0000-0002-6394-1452"},"institutions":[{"id":"https://openalex.org/I153687341","display_name":"Zarqa University","ror":"https://ror.org/01wf1es90","country_code":"JO","type":"education","lineage":["https://openalex.org/I153687341"]}],"countries":["JO"],"is_corresponding":false,"raw_author_name":"Rania Saadeh","raw_affiliation_strings":["Department of Mathematics, Zarqa University, Zarqa 13110, Jordan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zarqa University, Zarqa 13110, Jordan","institution_ids":["https://openalex.org/I153687341"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050224380"],"corresponding_institution_ids":["https://openalex.org/I153687341"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":5.8949,"has_fulltext":true,"cited_by_count":44,"citation_normalized_percentile":{"value":0.97540283,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"11","issue":"6","first_page":"247","last_page":"247"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"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":0.9997000098228455,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9607999920845032,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9196000099182129,"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/laplace-transform","display_name":"Laplace transform","score":0.7077878713607788},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6707521677017212},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6638396382331848},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6199196577072144},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5089044570922852},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.4823448061943054},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.4263339638710022},{"id":"https://openalex.org/keywords/laplace-transform-applied-to-differential-equations","display_name":"Laplace transform applied to differential equations","score":0.42066770792007446},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3840714395046234},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2527761459350586}],"concepts":[{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.7077878713607788},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6707521677017212},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6638396382331848},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6199196577072144},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5089044570922852},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.4823448061943054},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.4263339638710022},{"id":"https://openalex.org/C194330524","wikidata":"https://www.wikidata.org/wiki/Q2858841","display_name":"Laplace transform applied to differential equations","level":3,"score":0.42066770792007446},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3840714395046234},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2527761459350586},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/axioms11060247","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11060247","pdf_url":"https://www.mdpi.com/2075-1680/11/6/247/pdf?version=1653647646","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:e74b7ac004984349aecc8b56f29a5abd","is_oa":true,"landing_page_url":"https://doaj.org/article/e74b7ac004984349aecc8b56f29a5abd","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 11, Iss 6, p 247 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2075-1680/11/6/247/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/axioms11060247","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms; Volume 11; Issue 6; Pages: 247","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/axioms11060247","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms11060247","pdf_url":"https://www.mdpi.com/2075-1680/11/6/247/pdf?version=1653647646","source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4281478015.pdf","grobid_xml":"https://content.openalex.org/works/W4281478015.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W82511906","https://openalex.org/W1633315028","https://openalex.org/W1968722346","https://openalex.org/W1969004631","https://openalex.org/W1979449500","https://openalex.org/W1979797873","https://openalex.org/W1986824988","https://openalex.org/W1992379357","https://openalex.org/W2003591740","https://openalex.org/W2009664058","https://openalex.org/W2014326473","https://openalex.org/W2035883263","https://openalex.org/W2038895414","https://openalex.org/W2041540906","https://openalex.org/W2047865461","https://openalex.org/W2100245367","https://openalex.org/W2117853789","https://openalex.org/W2142116510","https://openalex.org/W2222709190","https://openalex.org/W2328778313","https://openalex.org/W2334933779","https://openalex.org/W2565176576","https://openalex.org/W2596399798","https://openalex.org/W2769974708","https://openalex.org/W2796227525","https://openalex.org/W2946644229","https://openalex.org/W2998223865","https://openalex.org/W3094038280","https://openalex.org/W3133821201","https://openalex.org/W3135663100","https://openalex.org/W3145989604","https://openalex.org/W3159266612","https://openalex.org/W3171950248","https://openalex.org/W3194929454","https://openalex.org/W3196056038","https://openalex.org/W3203220925","https://openalex.org/W3210455201","https://openalex.org/W3210669920","https://openalex.org/W3212475431","https://openalex.org/W3217038909","https://openalex.org/W3217323655","https://openalex.org/W4205301173","https://openalex.org/W4205424657","https://openalex.org/W4214652678","https://openalex.org/W6603381298","https://openalex.org/W6645030649","https://openalex.org/W6654051874","https://openalex.org/W6677569155","https://openalex.org/W6688553258","https://openalex.org/W6702098274","https://openalex.org/W6731155506","https://openalex.org/W6734954739","https://openalex.org/W6784602771","https://openalex.org/W6791968379"],"related_works":["https://openalex.org/W4213365297","https://openalex.org/W3166878184","https://openalex.org/W3168690039","https://openalex.org/W4308853780","https://openalex.org/W3022275705","https://openalex.org/W2019538856","https://openalex.org/W2479299069","https://openalex.org/W4283576291","https://openalex.org/W4389482554","https://openalex.org/W3189465960"],"abstract_inverted_index":{"This":[0],"article":[1],"demonstrates":[2],"how":[3],"the":[4,16,21,46,54,68,73,76,80,87,102],"new":[5],"Double":[6],"Laplace\u2013Sumudu":[7],"transform":[8],"(DLST)":[9],"is":[10,62],"successfully":[11],"implemented":[12],"in":[13],"combination":[14],"with":[15],"iterative":[17,48],"method":[18,104],"to":[19,64],"obtain":[20],"exact":[22,58],"solutions":[23,35],"of":[24,36,39,56,79,91,111],"nonlinear":[25,37],"partial":[26],"differential":[27],"equations":[28,41],"(NLPDEs)":[29],"by":[30,44],"considering":[31],"specified":[32],"conditions.":[33],"The":[34,50,98],"terms":[38],"these":[40],"were":[42],"determined":[43],"using":[45],"successive":[47],"procedure.":[49],"proposed":[51],"technique":[52],"has":[53],"advantage":[55],"generating":[57],"solutions,":[59],"and":[60,89],"it":[61],"easy":[63],"apply":[65],"analytically":[66],"on":[67],"given":[69],"problems.":[70],"In":[71],"addition,":[72],"theorems":[74],"handling":[75],"mode":[77],"properties":[78],"DLST":[81],"have":[82,95],"been":[83,96],"proved.":[84],"To":[85],"prove":[86],"usability":[88],"effectiveness":[90],"this":[92],"method,":[93],"examples":[94],"given.":[97],"results":[99],"show":[100],"that":[101],"presented":[103],"holds":[105],"promise":[106],"for":[107],"solving":[108],"other":[109],"types":[110],"NLPDEs.":[112]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":11}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}