{"id":"https://openalex.org/W2043220644","doi":"https://doi.org/10.1080/00207160.2015.1012070","title":"A new algorithm based on differential transform method for solving multi-point boundary value problems","display_name":"A new algorithm based on differential transform method for solving multi-point boundary value problems","publication_year":2015,"publication_date":"2015-01-27","ids":{"openalex":"https://openalex.org/W2043220644","doi":"https://doi.org/10.1080/00207160.2015.1012070","mag":"2043220644"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2015.1012070","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1012070","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039238718","display_name":"Lie-jun Xie","orcid":"https://orcid.org/0000-0003-0482-1650"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lie-jun Xie","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Ningbo University, Ningbo Zhejiang 315211, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Ningbo University, Ningbo Zhejiang 315211, China","institution_ids":["https://openalex.org/I109935558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103908730","display_name":"Cai-lian Zhou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cai-lian Zhou","raw_affiliation_strings":["View further author information"],"affiliations":[{"raw_affiliation_string":"View further author information","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100363686","display_name":"Song Xu","orcid":"https://orcid.org/0000-0002-9543-4463"},"institutions":[{"id":"https://openalex.org/I109935558","display_name":"Ningbo University","ror":"https://ror.org/03et85d35","country_code":"CN","type":"education","lineage":["https://openalex.org/I109935558"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Song Xu","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Ningbo University, Ningbo Zhejiang 315211, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Ningbo University, Ningbo Zhejiang 315211, China","institution_ids":["https://openalex.org/I109935558"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5039238718"],"corresponding_institution_ids":["https://openalex.org/I109935558"],"apc_list":null,"apc_paid":null,"fwci":1.4356,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.81523297,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"93","issue":"6","first_page":"981","last_page":"994"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998000264167786,"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":0.9998000264167786,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9952999949455261,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9923999905586243,"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/mathematics","display_name":"Mathematics","score":0.7042242884635925},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5987226366996765},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5405882596969604},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.49366340041160583},{"id":"https://openalex.org/keywords/convergent-series","display_name":"Convergent series","score":0.4678429365158081},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4678203761577606},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4514712691307068},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.44470325112342834},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.441410094499588},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2129269242286682},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.06590557098388672},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05686959624290466}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7042242884635925},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5987226366996765},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5405882596969604},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.49366340041160583},{"id":"https://openalex.org/C1115519","wikidata":"https://www.wikidata.org/wiki/Q1211057","display_name":"Convergent series","level":3,"score":0.4678429365158081},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4678203761577606},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4514712691307068},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.44470325112342834},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.441410094499588},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2129269242286682},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.06590557098388672},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05686959624290466},{"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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2015.1012070","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1012070","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4029512353","display_name":null,"funder_award_id":"11226243","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W1491891466","https://openalex.org/W1923701205","https://openalex.org/W1964671003","https://openalex.org/W1965075057","https://openalex.org/W1967530811","https://openalex.org/W1969392038","https://openalex.org/W1975719245","https://openalex.org/W1977503251","https://openalex.org/W1979500428","https://openalex.org/W1982213473","https://openalex.org/W1982963004","https://openalex.org/W1983714033","https://openalex.org/W1986930500","https://openalex.org/W1994282224","https://openalex.org/W1997190720","https://openalex.org/W1997896111","https://openalex.org/W2000845491","https://openalex.org/W2006031407","https://openalex.org/W2008302211","https://openalex.org/W2008830768","https://openalex.org/W2010044571","https://openalex.org/W2013406443","https://openalex.org/W2014380435","https://openalex.org/W2015295630","https://openalex.org/W2018045262","https://openalex.org/W2019175587","https://openalex.org/W2027519030","https://openalex.org/W2028785883","https://openalex.org/W2035362547","https://openalex.org/W2036634638","https://openalex.org/W2038354509","https://openalex.org/W2039041082","https://openalex.org/W2039448722","https://openalex.org/W2041652788","https://openalex.org/W2052431252","https://openalex.org/W2054532663","https://openalex.org/W2056887357","https://openalex.org/W2057210152","https://openalex.org/W2061856167","https://openalex.org/W2065261869","https://openalex.org/W2070141768","https://openalex.org/W2070335345","https://openalex.org/W2073384823","https://openalex.org/W2076040120","https://openalex.org/W2079036370","https://openalex.org/W2082942417","https://openalex.org/W2086353585","https://openalex.org/W2090780267","https://openalex.org/W2108059751","https://openalex.org/W2113333224","https://openalex.org/W2125585272","https://openalex.org/W2145998931","https://openalex.org/W2156241635","https://openalex.org/W2171801045","https://openalex.org/W2272349946","https://openalex.org/W3145834777","https://openalex.org/W4236828541","https://openalex.org/W4248392792","https://openalex.org/W4296589087"],"related_works":["https://openalex.org/W4237434372","https://openalex.org/W4295136758","https://openalex.org/W27629369","https://openalex.org/W3119105103","https://openalex.org/W1767792260","https://openalex.org/W2359657490","https://openalex.org/W3023908574","https://openalex.org/W2995880370","https://openalex.org/W209220736","https://openalex.org/W2896106934"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"an":[3],"efficient":[4],"algorithm":[5],"based":[6],"on":[7],"the":[8,16,26,30,51,56,63,67],"differential":[9],"transform":[10],"method":[11,28,65],"is":[12],"applied":[13],"to":[14,49],"solve":[15],"multi-point":[17],"boundary":[18],"value":[19],"problems.":[20],"The":[21],"solution":[22],"obtained":[23],"by":[24],"using":[25],"proposed":[27,57],"takes":[29],"form":[31],"of":[32,55],"a":[33],"convergent":[34],"series":[35],"with":[36],"easily":[37],"computable":[38],"components.":[39],"Several":[40],"numerical":[41],"examples,":[42],"both":[43],"linear":[44],"and":[45,53,66],"nonlinear,":[46],"are":[47,60],"given":[48],"testify":[50],"validity":[52],"applicability":[54],"method.":[58],"Comparisons":[59],"made":[61],"between":[62],"present":[64],"other":[68],"existing":[69],"methods.":[70]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
