{"id":"https://openalex.org/W2119828074","doi":"https://doi.org/10.1080/00207160211284","title":"Boundary Value Technique for Finding Numerical Solution to Boundary Value Problems for Third Order Singularly Perturbed Ordinary Differential Equations","display_name":"Boundary Value Technique for Finding Numerical Solution to Boundary Value Problems for Third Order Singularly Perturbed Ordinary Differential Equations","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2119828074","doi":"https://doi.org/10.1080/00207160211284","mag":"2119828074"},"language":"en","primary_location":{"id":"doi:10.1080/00207160211284","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160211284","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":null,"display_name":"S. Valarmathi","orcid":null},"institutions":[{"id":"https://openalex.org/I4076070","display_name":"Bharathidasan University","ror":"https://ror.org/02w7vnb60","country_code":"IN","type":"education","lineage":["https://openalex.org/I4076070"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Valarmathi","raw_affiliation_strings":["Department of Mathematics , Bharathidasan University , India, Tiruchirappalli, 620 024, Tamil Nadu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Bharathidasan University , India, Tiruchirappalli, 620 024, Tamil Nadu","institution_ids":["https://openalex.org/I4076070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074326515","display_name":"N. Ramanujam","orcid":null},"institutions":[{"id":"https://openalex.org/I4076070","display_name":"Bharathidasan University","ror":"https://ror.org/02w7vnb60","country_code":"IN","type":"education","lineage":["https://openalex.org/I4076070"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"N. Ramanujam","raw_affiliation_strings":["Department of Mathematics , Bharathidasan University , India, Tiruchirappalli, 620 024, Tamil Nadu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Bharathidasan University , India, Tiruchirappalli, 620 024, Tamil Nadu","institution_ids":["https://openalex.org/I4076070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.6543,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.9310559,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"79","issue":"6","first_page":"747","last_page":"763"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":1.0,"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":0.8338230848312378},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.7986765503883362},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.7888501882553101},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.7038381695747375},{"id":"https://openalex.org/keywords/method-of-matched-asymptotic-expansions","display_name":"Method of matched asymptotic expansions","score":0.6770464777946472},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6142972707748413},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.46895164251327515},{"id":"https://openalex.org/keywords/initial-value-problem","display_name":"Initial value problem","score":0.4658442735671997},{"id":"https://openalex.org/keywords/cauchy-boundary-condition","display_name":"Cauchy boundary condition","score":0.440125435590744},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.41395899653434753},{"id":"https://openalex.org/keywords/mixed-boundary-condition","display_name":"Mixed boundary condition","score":0.4032733142375946}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8338230848312378},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.7986765503883362},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.7888501882553101},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.7038381695747375},{"id":"https://openalex.org/C89407435","wikidata":"https://www.wikidata.org/wiki/Q17098224","display_name":"Method of matched asymptotic expansions","level":3,"score":0.6770464777946472},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6142972707748413},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.46895164251327515},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.4658442735671997},{"id":"https://openalex.org/C106947605","wikidata":"https://www.wikidata.org/wiki/Q3278575","display_name":"Cauchy boundary condition","level":4,"score":0.440125435590744},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.41395899653434753},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.4032733142375946}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160211284","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160211284","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":33,"referenced_works":["https://openalex.org/W79873316","https://openalex.org/W609598071","https://openalex.org/W1480673526","https://openalex.org/W1524707262","https://openalex.org/W1547666981","https://openalex.org/W1972262062","https://openalex.org/W1974273963","https://openalex.org/W1976549596","https://openalex.org/W1980845091","https://openalex.org/W1990562152","https://openalex.org/W1997868060","https://openalex.org/W2008738581","https://openalex.org/W2009343422","https://openalex.org/W2016278383","https://openalex.org/W2020244851","https://openalex.org/W2025473485","https://openalex.org/W2025718021","https://openalex.org/W2029318990","https://openalex.org/W2036371403","https://openalex.org/W2036400842","https://openalex.org/W2046904024","https://openalex.org/W2050594690","https://openalex.org/W2068500663","https://openalex.org/W2071145897","https://openalex.org/W2072919265","https://openalex.org/W2086400877","https://openalex.org/W2095464465","https://openalex.org/W2146475526","https://openalex.org/W2470584981","https://openalex.org/W2588802287","https://openalex.org/W4241946322","https://openalex.org/W4252247111","https://openalex.org/W4255220089"],"related_works":["https://openalex.org/W2996305644","https://openalex.org/W2059261580","https://openalex.org/W2606825881","https://openalex.org/W2767841216","https://openalex.org/W4246256881","https://openalex.org/W2393913967","https://openalex.org/W3023272360","https://openalex.org/W2055995193","https://openalex.org/W2605027585","https://openalex.org/W2751069771"],"abstract_inverted_index":{"A":[0],"class":[1],"of":[2,28,95,97,129,141,144,155,158],"singularly":[3,45,171],"perturbed":[4,46,172],"two":[5,120,156],"point":[6,121],"boundary":[7,50,113,122,127],"value":[8,114,123],"problems":[9],"(BVPs)":[10],"for":[11],"third":[12],"order":[13,31,44,53,137,164,174],"ordinary":[14],"differential":[15,99],"equations":[16],"is":[17,21,61,84,161,169],"considered.":[18],"The":[19,81,125,147],"BVP":[20],"reduced":[22],"to":[23,49,54,153,179],"a":[24,37,58,76,162,170],"weakly":[25],"coupled":[26],"system":[27,154],"one":[29,42,160],"first":[30,90,163],"Ordinary":[32],"Differential":[33],"Equation":[34],"(ODE)":[35],"with":[36],"suitable":[38],"initial":[39],"condition":[40],"and":[41,75,106,166],"second":[43,173],"ODE":[47,165],"subject":[48],"conditions.":[51],"In":[52],"solve":[55,111],"this":[56,64],"system,":[57],"computational":[59],"method":[60,67,83,149],"suggested":[62],"in":[63],"paper.":[65],"This":[66],"combines":[68],"an":[69],"exponentially":[70],"fitted":[71],"finite":[72,78],"difference":[73,79],"scheme":[74],"classical":[77],"scheme.":[80],"proposed":[82],"distinguished":[85],"by":[86],"the":[87,93,98,112,130,142,145,167,181],"fact":[88],"that,":[89],"we":[91,110],"divide":[92],"domain":[94],"definition":[96],"equation":[100],"into":[101],"three":[102],"subintervals":[103],"called":[104],"inner":[105,131],"outer":[107],"regions.":[108],"Then":[109],"problem":[115],"over":[116],"these":[117],"regions":[118,132],"as":[119],"problems.":[124],"terminal":[126],"conditions":[128],"are":[133,177],"obtained":[134],"using":[135],"zero":[136],"asymptotic":[138],"expansion":[139],"approximation":[140],"solution":[143],"problem.":[146],"present":[148],"can":[150],"be":[151],"extended":[152],"equations,":[157],"which,":[159],"other":[168],"ODE.":[175],"Examples":[176],"presented":[178],"illustrate":[180],"method.":[182]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}