{"id":"https://openalex.org/W2154392286","doi":"https://doi.org/10.1080/00207160412331291080","title":"Fitted mesh B-spline method for solving a class of singular singularly perturbed boundary value problems","display_name":"Fitted mesh B-spline method for solving a class of singular singularly perturbed boundary value problems","publication_year":2004,"publication_date":"2004-12-13","ids":{"openalex":"https://openalex.org/W2154392286","doi":"https://doi.org/10.1080/00207160412331291080","mag":"2154392286"},"language":"en","primary_location":{"id":"doi:10.1080/00207160412331291080","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160412331291080","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/A5110012684","display_name":"Mohan K. Kadalbajoo","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mohan K. Kadalbajoo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5041720836","display_name":"Vivek K. Aggarwal","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vivek K. Aggarwal","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5110012684"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4794,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.68169673,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"82","issue":"1","first_page":"67","last_page":"76"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998999834060669,"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":0.9998999834060669,"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":0.8445900678634644},{"id":"https://openalex.org/keywords/tridiagonal-matrix","display_name":"Tridiagonal matrix","score":0.756881058216095},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.6303642988204956},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5680128931999207},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5445776581764221},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4726350009441376},{"id":"https://openalex.org/keywords/uniform-convergence","display_name":"Uniform convergence","score":0.46742552518844604},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4502434730529785},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4249493181705475},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.424246609210968},{"id":"https://openalex.org/keywords/singular-boundary-method","display_name":"Singular boundary method","score":0.41637158393859863},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.41625499725341797},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.4101763367652893},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.1357368528842926},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.1109432578086853},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08267799019813538},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.07661682367324829}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8445900678634644},{"id":"https://openalex.org/C51647924","wikidata":"https://www.wikidata.org/wiki/Q1755277","display_name":"Tridiagonal matrix","level":3,"score":0.756881058216095},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.6303642988204956},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5680128931999207},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5445776581764221},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4726350009441376},{"id":"https://openalex.org/C157709441","wikidata":"https://www.wikidata.org/wiki/Q1411887","display_name":"Uniform convergence","level":3,"score":0.46742552518844604},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4502434730529785},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4249493181705475},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.424246609210968},{"id":"https://openalex.org/C82047721","wikidata":"https://www.wikidata.org/wiki/Q7524247","display_name":"Singular boundary method","level":4,"score":0.41637158393859863},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.41625499725341797},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.4101763367652893},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.1357368528842926},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.1109432578086853},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08267799019813538},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.07661682367324829},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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:10.1080/00207160412331291080","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160412331291080","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":6,"referenced_works":["https://openalex.org/W1657347807","https://openalex.org/W2008876991","https://openalex.org/W2042561164","https://openalex.org/W2044299439","https://openalex.org/W2051397382","https://openalex.org/W4241946322"],"related_works":["https://openalex.org/W2095609943","https://openalex.org/W1985967981","https://openalex.org/W2161417448","https://openalex.org/W3207713593","https://openalex.org/W2368436228","https://openalex.org/W2274155836","https://openalex.org/W1996893687","https://openalex.org/W2484452710","https://openalex.org/W2886742345","https://openalex.org/W1968315702"],"abstract_inverted_index":{"We":[0,16],"develop":[1],"B-spline":[2,30],"method":[3,31,46],"for":[4],"solving":[5],"a":[6,35],"class":[7],"of":[8,64],"singular":[9],"singularly":[10],"perturbed":[11],"two-point":[12],"boundary":[13],"value":[14],"problems":[15],"use":[17,28],"the":[18,29,45,58,62],"fitted":[19],"mesh":[20],"technique":[21],"to":[22,34,49,60],"generate":[23],"piecewise":[24],"uniform":[25,51],"mesh,":[26],"and":[27,44],"which":[32],"leads":[33],"tridiagonal":[36],"linear":[37],"system.":[38],"The":[39],"convergence":[40],"analysis":[41],"is":[42,47],"given":[43,56],"shown":[48],"have":[50],"convergence.":[52],"Numerical":[53],"illustrations":[54],"are":[55],"in":[57],"end":[59],"demonstrate":[61],"efficiency":[63],"our":[65],"method.":[66]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
