{"id":"https://openalex.org/W1982426609","doi":"https://doi.org/10.1080/00207160.2015.1045888","title":"An efficient semi-numerical technique for solving nonlinear singular boundary value problems arising in various physical models","display_name":"An efficient semi-numerical technique for solving nonlinear singular boundary value problems arising in various physical models","publication_year":2015,"publication_date":"2015-04-28","ids":{"openalex":"https://openalex.org/W1982426609","doi":"https://doi.org/10.1080/00207160.2015.1045888","mag":"1982426609"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2015.1045888","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1045888","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/A5059062853","display_name":"Randhir Singh","orcid":"https://orcid.org/0000-0003-0283-3754"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Randhir Singh","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, India","[Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, INDIA]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, India","institution_ids":["https://openalex.org/I145894827"]},{"raw_affiliation_string":"[Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, INDIA]","institution_ids":["https://openalex.org/I145894827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052042350","display_name":"Abdul\u2013Majid Wazwaz","orcid":"https://orcid.org/0000-0002-8325-7500"},"institutions":[{"id":"https://openalex.org/I198985290","display_name":"Saint Xavier University","ror":"https://ror.org/04ws6z706","country_code":"US","type":"education","lineage":["https://openalex.org/I198985290"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abdul-Majid Wazwaz","raw_affiliation_strings":["Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA","Department of Mathematics, Saint Xavier University, Chicago, IL60655, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Saint Xavier University, Chicago, IL 60655, USA","institution_ids":["https://openalex.org/I198985290"]},{"raw_affiliation_string":"Department of Mathematics, Saint Xavier University, Chicago, IL60655, USA#TAB#","institution_ids":["https://openalex.org/I198985290"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003203645","display_name":"Jitendra Kumar","orcid":"https://orcid.org/0000-0002-2472-579X"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Jitendra Kumar","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, India","[Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, INDIA]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, India","institution_ids":["https://openalex.org/I145894827"]},{"raw_affiliation_string":"[Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, INDIA]","institution_ids":["https://openalex.org/I145894827"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059062853"],"corresponding_institution_ids":["https://openalex.org/I145894827"],"apc_list":null,"apc_paid":null,"fwci":1.9141,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.8546595,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"93","issue":"8","first_page":"1330","last_page":"1346"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"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":0.9998999834060669,"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/T10514","display_name":"Numerical methods in engineering","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9955000281333923,"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":0.7743979692459106},{"id":"https://openalex.org/keywords/adomian-decomposition-method","display_name":"Adomian decomposition method","score":0.7369526624679565},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.6395384073257446},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6149808168411255},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6093275547027588},{"id":"https://openalex.org/keywords/generality","display_name":"Generality","score":0.5663286447525024},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5289530754089355},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5049474835395813},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49142253398895264},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4616936445236206},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34206289052963257},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22129759192466736},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.1494649052619934}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7743979692459106},{"id":"https://openalex.org/C120317633","wikidata":"https://www.wikidata.org/wiki/Q3042796","display_name":"Adomian decomposition method","level":3,"score":0.7369526624679565},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.6395384073257446},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6149808168411255},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6093275547027588},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.5663286447525024},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5289530754089355},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5049474835395813},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49142253398895264},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4616936445236206},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34206289052963257},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22129759192466736},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.1494649052619934},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2015.1045888","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2015.1045888","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":26,"referenced_works":["https://openalex.org/W1560556759","https://openalex.org/W1965426136","https://openalex.org/W1973676901","https://openalex.org/W1982929501","https://openalex.org/W1985575042","https://openalex.org/W1993746815","https://openalex.org/W1996474089","https://openalex.org/W1996986887","https://openalex.org/W2003033542","https://openalex.org/W2004382646","https://openalex.org/W2006030213","https://openalex.org/W2013256060","https://openalex.org/W2020659389","https://openalex.org/W2020857385","https://openalex.org/W2027254911","https://openalex.org/W2054040753","https://openalex.org/W2054523643","https://openalex.org/W2054683747","https://openalex.org/W2057771705","https://openalex.org/W2068616545","https://openalex.org/W2069425140","https://openalex.org/W2086353585","https://openalex.org/W2093442265","https://openalex.org/W2153537517","https://openalex.org/W2171254356","https://openalex.org/W4250721289"],"related_works":["https://openalex.org/W2045049461","https://openalex.org/W1978893398","https://openalex.org/W4381094582","https://openalex.org/W1977906818","https://openalex.org/W2201908702","https://openalex.org/W2369625323","https://openalex.org/W2364579609","https://openalex.org/W1522139108","https://openalex.org/W2353528968","https://openalex.org/W2065256739"],"abstract_inverted_index":{"An":[0],"efficient":[1],"semi-numerical":[2],"method":[3,27,59,105],"is":[4,67,106],"proposed":[5,20,58,88,104,122],"for":[6,45,81],"solving":[7],"nonlinear":[8],"singular":[9,109],"boundary":[10],"value":[11],"problems":[12],"(BVPs)":[13],"arising":[14],"in":[15],"various":[16],"physical":[17],"models.":[18],"We":[19],"a":[21,50],"modification":[22],"of":[23,49,56,102,120],"the":[24,34,42,46,57,61,83,87,91,95,99,103,115,121],"Adomian":[25],"decomposition":[26],"(ADM).":[28],"The":[29,53],"technique":[30,89],"depends":[31],"on":[32],"transforming":[33],"BVPs":[35],"to":[36,113],"Fredholm":[37],"integral":[38],"equations":[39],"before":[40],"establishing":[41],"recursive":[43],"scheme":[44],"solution":[47],"components":[48],"specific":[51],"solution.":[52],"major":[54],"advantage":[55],"over":[60],"classical":[62],"ADM":[63,66],"or":[64],"modified":[65],"that":[68],"it":[69],"provides":[70],"not":[71],"only":[72],"better":[73],"numerical":[74],"results":[75],"but":[76],"also":[77],"avoids":[78],"unnecessary":[79],"computation":[80],"determining":[82],"unknown":[84],"parameters.":[85],"Moreover,":[86],"overcomes":[90],"singularity":[92],"issue":[93],"at":[94],"origin":[96],"x=0.":[97],"Furthermore,":[98],"convergence":[100],"analysis":[101],"established.":[107],"Two":[108],"examples":[110],"are":[111],"examined":[112],"demonstrate":[114],"accuracy,":[116],"applicability,":[117],"and":[118],"generality":[119],"method.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}