{"id":"https://openalex.org/W4394604175","doi":"https://doi.org/10.3390/axioms13040248","title":"Computational Approach to Third-Order Nonlinear Boundary Value Problems via Efficient Decomposition Shooting Method","display_name":"Computational Approach to Third-Order Nonlinear Boundary Value Problems via Efficient Decomposition Shooting Method","publication_year":2024,"publication_date":"2024-04-09","ids":{"openalex":"https://openalex.org/W4394604175","doi":"https://doi.org/10.3390/axioms13040248"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13040248","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13040248","pdf_url":"https://www.mdpi.com/2075-1680/13/4/248/pdf?version=1712661549","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/2075-1680/13/4/248/pdf?version=1712661549","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065831411","display_name":"Kholoud Alzahrani","orcid":"https://orcid.org/0000-0003-2006-3925"},"institutions":[{"id":"https://openalex.org/I4210099699","display_name":"University of Jeddah","ror":"https://ror.org/015ya8798","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210099699"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"K. A. Alzahrani","raw_affiliation_strings":["Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia","Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia","institution_ids":["https://openalex.org/I4210099699"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia;","institution_ids":["https://openalex.org/I4210099699"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053843013","display_name":"N. A. Alzaid","orcid":"https://orcid.org/0000-0003-3612-004X"},"institutions":[{"id":"https://openalex.org/I4210099699","display_name":"University of Jeddah","ror":"https://ror.org/015ya8798","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210099699"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"N. A. Alzaid","raw_affiliation_strings":["Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia","Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia","institution_ids":["https://openalex.org/I4210099699"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia;","institution_ids":["https://openalex.org/I4210099699"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018706865","display_name":"H. O. Bakodah","orcid":"https://orcid.org/0000-0003-1403-5936"},"institutions":[{"id":"https://openalex.org/I4210099699","display_name":"University of Jeddah","ror":"https://ror.org/015ya8798","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210099699"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"H. O. Bakodah","raw_affiliation_strings":["Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia","Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia;"],"raw_orcid":"https://orcid.org/0000-0003-1403-5936","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia","institution_ids":["https://openalex.org/I4210099699"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia;","institution_ids":["https://openalex.org/I4210099699"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104310537","display_name":"Mariam H. Almazmumy","orcid":null},"institutions":[{"id":"https://openalex.org/I4210099699","display_name":"University of Jeddah","ror":"https://ror.org/015ya8798","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210099699"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"M. H. Almazmumy","raw_affiliation_strings":["Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia","Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia;"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia","institution_ids":["https://openalex.org/I4210099699"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science, University of Jeddah, Jeddah P.O. Box 80327, Saudi Arabia;","institution_ids":["https://openalex.org/I4210099699"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210099699"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":2.6212,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.89248378,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"13","issue":"4","first_page":"248","last_page":"248"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9991999864578247,"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":0.9991999864578247,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/shooting-method","display_name":"Shooting method","score":0.7972172498703003},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5736809372901917},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5627676844596863},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47581201791763306},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4687162935733795},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45854640007019043},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.45062050223350525},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.44304144382476807},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4243071675300598},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3707176148891449},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27818137407302856},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13393813371658325},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.06084141135215759},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05738690495491028},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.05447208881378174}],"concepts":[{"id":"https://openalex.org/C4195266","wikidata":"https://www.wikidata.org/wiki/Q1749769","display_name":"Shooting method","level":3,"score":0.7972172498703003},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5736809372901917},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5627676844596863},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47581201791763306},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4687162935733795},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45854640007019043},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.45062050223350525},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.44304144382476807},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4243071675300598},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3707176148891449},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27818137407302856},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13393813371658325},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.06084141135215759},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05738690495491028},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.05447208881378174},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13040248","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13040248","pdf_url":"https://www.mdpi.com/2075-1680/13/4/248/pdf?version=1712661549","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:4a48250bd80749fd892299cb30410745","is_oa":false,"landing_page_url":"https://doaj.org/article/4a48250bd80749fd892299cb30410745","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 4, p 248 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13040248","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13040248","pdf_url":"https://www.mdpi.com/2075-1680/13/4/248/pdf?version=1712661549","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":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4394604175.pdf"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1560556759","https://openalex.org/W1851611276","https://openalex.org/W1988599154","https://openalex.org/W1991180020","https://openalex.org/W1993040029","https://openalex.org/W1997290136","https://openalex.org/W2013010252","https://openalex.org/W2014416351","https://openalex.org/W2015620960","https://openalex.org/W2019624658","https://openalex.org/W2033782284","https://openalex.org/W2033864933","https://openalex.org/W2053602907","https://openalex.org/W2057375460","https://openalex.org/W2059949638","https://openalex.org/W2065213714","https://openalex.org/W2081909188","https://openalex.org/W2087689087","https://openalex.org/W2142333309","https://openalex.org/W2409628188","https://openalex.org/W2582866221","https://openalex.org/W2604625038","https://openalex.org/W2788035785","https://openalex.org/W2805915779","https://openalex.org/W2883586163","https://openalex.org/W2906165747","https://openalex.org/W2909024945","https://openalex.org/W2992021475","https://openalex.org/W3103703230","https://openalex.org/W3158654008","https://openalex.org/W4300831536","https://openalex.org/W4316810257","https://openalex.org/W4386696250","https://openalex.org/W4387781076","https://openalex.org/W6638726882","https://openalex.org/W6757429123","https://openalex.org/W6771408061","https://openalex.org/W6794530339"],"related_works":["https://openalex.org/W2245490483","https://openalex.org/W2272274087","https://openalex.org/W2002990235","https://openalex.org/W2017402298","https://openalex.org/W4291339162","https://openalex.org/W2396938198","https://openalex.org/W2951159652","https://openalex.org/W2014513898","https://openalex.org/W4255449202","https://openalex.org/W2334399894"],"abstract_inverted_index":{"The":[0,45],"present":[1],"manuscript":[2],"proposes":[3],"a":[4,10,30,37],"computational":[5],"approach":[6,26,46],"to":[7,72],"efficiently":[8],"tackle":[9],"class":[11],"of":[12,32,39,69],"two-point":[13],"boundary":[14],"value":[15],"problems":[16],"that":[17],"features":[18],"third-order":[19],"nonlinear":[20],"ordinary":[21],"differential":[22],"equations.":[23],"Specifically,":[24],"this":[25,70,79],"is":[27,80],"based":[28],"upon":[29],"combination":[31],"the":[33,40,50,61,67,83],"shooting":[34],"method":[35,71],"with":[36],"modification":[38],"renowned":[41],"Adomian":[42],"decomposition":[43],"method.":[44],"starts":[47],"by":[48,82],"transforming":[49],"governing":[51],"BVP":[52],"into":[53],"two":[54],"appropriate":[55],"initial-value":[56],"problems,":[57],"and":[58,89,94],"thereafter,":[59],"solves":[60],"resulting":[62],"IVPs":[63],"recurrently.":[64],"In":[65],"addition,":[66],"application":[68],"varied":[73],"test":[74],"models":[75],"remains":[76],"feasible\u2014of":[77],"course,":[78],"supported":[81],"competing":[84],"Runge\u2013Kutta":[85],"method,":[86],"among":[87],"others,":[88],"reported":[90],"through":[91],"comparison":[92],"plots":[93],"tables.":[95]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
