{"id":"https://openalex.org/W2538086437","doi":"https://doi.org/10.1080/00207160.2015.1085027","title":"Sinc-Galerkin method for solving nonlinear weakly singular two point boundary value problems","display_name":"Sinc-Galerkin method for solving nonlinear weakly singular two point boundary value problems","publication_year":2015,"publication_date":"2015-08-25","ids":{"openalex":"https://openalex.org/W2538086437","doi":"https://doi.org/10.1080/00207160.2015.1085027","mag":"2538086437"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2015.1085027","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1085027","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/A5025334700","display_name":"Jalil Rashidinia","orcid":"https://orcid.org/0000-0002-9177-900X"},"institutions":[{"id":"https://openalex.org/I67009956","display_name":"Iran University of Science and Technology","ror":"https://ror.org/01jw2p796","country_code":"IR","type":"education","lineage":["https://openalex.org/I67009956"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Jalil Rashidinia","raw_affiliation_strings":["School of Mathematics, Iran University of Science and Technology, Narmak, 168613114 Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Iran University of Science and Technology, Narmak, 168613114 Tehran, Iran","institution_ids":["https://openalex.org/I67009956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069370994","display_name":"Mohammad Nabati","orcid":"https://orcid.org/0000-0003-2864-7415"},"institutions":[{"id":"https://openalex.org/I154127411","display_name":"Petroleum University of Technology","ror":"https://ror.org/00r0xhf81","country_code":"IR","type":"education","lineage":["https://openalex.org/I154127411"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Nabati","raw_affiliation_strings":["Abadan Faculty of Engineering, Petroleum University of Technology, Abadan, Iran"],"affiliations":[{"raw_affiliation_string":"Abadan Faculty of Engineering, Petroleum University of Technology, Abadan, Iran","institution_ids":["https://openalex.org/I154127411"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043583251","display_name":"Ali Barati","orcid":"https://orcid.org/0000-0002-9380-4352"},"institutions":[{"id":"https://openalex.org/I1187138","display_name":"Razi University","ror":"https://ror.org/02ynb0474","country_code":"IR","type":"education","lineage":["https://openalex.org/I1187138"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Ali Barati","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran","institution_ids":["https://openalex.org/I1187138"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025334700"],"corresponding_institution_ids":["https://openalex.org/I67009956"],"apc_list":null,"apc_paid":null,"fwci":0.2393,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.63010753,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"94","issue":"1","first_page":"79","last_page":"94"},"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9983999729156494,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9973999857902527,"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/sinc-function","display_name":"Sinc function","score":0.9145328998565674},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.834248423576355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8172509670257568},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7010407447814941},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6150928139686584},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5676433444023132},{"id":"https://openalex.org/keywords/singular-boundary-method","display_name":"Singular boundary method","score":0.5041540861129761},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43376922607421875},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.424100786447525},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.20625239610671997},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.20329344272613525}],"concepts":[{"id":"https://openalex.org/C152303783","wikidata":"https://www.wikidata.org/wiki/Q855949","display_name":"Sinc function","level":2,"score":0.9145328998565674},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.834248423576355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8172509670257568},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7010407447814941},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6150928139686584},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5676433444023132},{"id":"https://openalex.org/C82047721","wikidata":"https://www.wikidata.org/wiki/Q7524247","display_name":"Singular boundary method","level":4,"score":0.5041540861129761},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43376922607421875},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.424100786447525},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.20625239610671997},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.20329344272613525},{"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},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2015.1085027","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1085027","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W613415755","https://openalex.org/W1568666422","https://openalex.org/W1586044118","https://openalex.org/W1969742024","https://openalex.org/W1983700899","https://openalex.org/W1985629739","https://openalex.org/W1993040029","https://openalex.org/W1995356931","https://openalex.org/W1998835908","https://openalex.org/W2010330390","https://openalex.org/W2014921298","https://openalex.org/W2015465640","https://openalex.org/W2020944444","https://openalex.org/W2022516446","https://openalex.org/W2037658465","https://openalex.org/W2048082561","https://openalex.org/W2054819197","https://openalex.org/W2059597843","https://openalex.org/W2064434439","https://openalex.org/W2066951395","https://openalex.org/W2075990894","https://openalex.org/W2089015999","https://openalex.org/W2096408112","https://openalex.org/W2109282482","https://openalex.org/W2171114081","https://openalex.org/W2290840427","https://openalex.org/W4293185733"],"related_works":["https://openalex.org/W3178544049","https://openalex.org/W3170138564","https://openalex.org/W2043122535","https://openalex.org/W1971377792","https://openalex.org/W2070966922","https://openalex.org/W1978530077","https://openalex.org/W2048354685","https://openalex.org/W2014921298","https://openalex.org/W2076904549","https://openalex.org/W2056480684"],"abstract_inverted_index":{"A":[0],"study":[1],"of":[2,14,31,41,47,68],"Sinc-Galerkin":[3,33],"method":[4,53,77],"based":[5],"on":[6,55],"double":[7],"exponential":[8],"transformation":[9],"for":[10],"solving":[11],"a":[12],"class":[13],"nonlinear":[15,42,45],"weakly":[16],"singular":[17],"two":[18],"point":[19],"boundary":[20,25],"value":[21],"problems":[22],"with":[23,49,64],"non-homogeneous":[24],"conditions":[26],"is":[27,78],"given.":[28],"The":[29,71],"properties":[30],"the":[32,39],"approach":[34],"are":[35],"utilized":[36],"to":[37,44],"reduce":[38],"computation":[40],"problem":[43],"system":[46],"equations":[48],"unknown":[50],"coefficients.":[51],"This":[52],"tested":[54],"several":[56,65],"test":[57],"examples.":[58],"We":[59],"compare":[60],"our":[61],"numerical":[62,66],"results":[63,67,73],"existing":[69],"methods.":[70],"demonstrated":[72],"confirm":[74],"that":[75],"proposed":[76],"considerably":[79],"efficient,":[80],"accurate":[81],"nature":[82],"and":[83],"rapidly":[84],"converge.":[85]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}