{"id":"https://openalex.org/W2017662701","doi":"https://doi.org/10.1080/00207160212122","title":"An Efficient Method for Second Order Boundary Value Problems with Two Point Boundary Conditions","display_name":"An Efficient Method for Second Order Boundary Value Problems with Two Point Boundary Conditions","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2017662701","doi":"https://doi.org/10.1080/00207160212122","mag":"2017662701"},"language":"en","primary_location":{"id":"doi:10.1080/00207160212122","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160212122","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/A5076853652","display_name":"Sarita Nemani","orcid":null},"institutions":[{"id":"https://openalex.org/I106938459","display_name":"University of New Brunswick","ror":"https://ror.org/05nkf0n29","country_code":"CA","type":"education","lineage":["https://openalex.org/I106938459"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"S. S. Nemani","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science , University of New Brunswick , P.O. Box 5050, Saint John, NB, Canada , E2L 4L5","Department of Mathematics, Statistics and Computer Science, University of New Brunswick, P.O. Box 5050, Saint John, NB, Canada E2L 4L5#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science , University of New Brunswick , P.O. Box 5050, Saint John, NB, Canada , E2L 4L5","institution_ids":["https://openalex.org/I106938459"]},{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, University of New Brunswick, P.O. Box 5050, Saint John, NB, Canada E2L 4L5#TAB#","institution_ids":["https://openalex.org/I106938459"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110219117","display_name":"L.E. Garey","orcid":null},"institutions":[{"id":"https://openalex.org/I106938459","display_name":"University of New Brunswick","ror":"https://ror.org/05nkf0n29","country_code":"CA","type":"education","lineage":["https://openalex.org/I106938459"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"L. E. Garey","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science , University of New Brunswick , P.O. Box 5050, Saint John, NB, Canada , E2L 4L5","Department of Mathematics, Statistics and Computer Science, University of New Brunswick, P.O. Box 5050, Saint John, NB, Canada E2L 4L5#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science , University of New Brunswick , P.O. Box 5050, Saint John, NB, Canada , E2L 4L5","institution_ids":["https://openalex.org/I106938459"]},{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, University of New Brunswick, P.O. Box 5050, Saint John, NB, Canada E2L 4L5#TAB#","institution_ids":["https://openalex.org/I106938459"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076853652"],"corresponding_institution_ids":["https://openalex.org/I106938459"],"apc_list":null,"apc_paid":null,"fwci":0.6775,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.67049245,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"79","issue":"9","first_page":"1001","last_page":"1008"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9980999827384949,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8328775763511658},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.750336766242981},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5097631812095642},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.45925068855285645},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4488912522792816},{"id":"https://openalex.org/keywords/singular-boundary-method","display_name":"Singular boundary method","score":0.44131767749786377},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.43413984775543213},{"id":"https://openalex.org/keywords/coefficient-matrix","display_name":"Coefficient matrix","score":0.42268311977386475},{"id":"https://openalex.org/keywords/mixed-boundary-condition","display_name":"Mixed boundary condition","score":0.4145372807979584},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.18268820643424988},{"id":"https://openalex.org/keywords/boundary-element-method","display_name":"Boundary element method","score":0.1489568054676056},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.09999719262123108}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8328775763511658},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.750336766242981},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5097631812095642},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.45925068855285645},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4488912522792816},{"id":"https://openalex.org/C82047721","wikidata":"https://www.wikidata.org/wiki/Q7524247","display_name":"Singular boundary method","level":4,"score":0.44131767749786377},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43413984775543213},{"id":"https://openalex.org/C60866291","wikidata":"https://www.wikidata.org/wiki/Q5140577","display_name":"Coefficient matrix","level":3,"score":0.42268311977386475},{"id":"https://openalex.org/C42045870","wikidata":"https://www.wikidata.org/wiki/Q2992268","display_name":"Mixed boundary condition","level":3,"score":0.4145372807979584},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.18268820643424988},{"id":"https://openalex.org/C63632240","wikidata":"https://www.wikidata.org/wiki/Q1935004","display_name":"Boundary element method","level":3,"score":0.1489568054676056},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.09999719262123108},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160212122","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160212122","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1971407891","https://openalex.org/W1974661065","https://openalex.org/W2006850990","https://openalex.org/W2026788443","https://openalex.org/W2035155528","https://openalex.org/W2074560815","https://openalex.org/W2077221255","https://openalex.org/W2081373829","https://openalex.org/W2253469124","https://openalex.org/W4256157503"],"related_works":["https://openalex.org/W1586418441","https://openalex.org/W3136311820","https://openalex.org/W2378263446","https://openalex.org/W2393913967","https://openalex.org/W1987517687","https://openalex.org/W2986097147","https://openalex.org/W1993866344","https://openalex.org/W3178926275","https://openalex.org/W2951159652","https://openalex.org/W2034185776"],"abstract_inverted_index":{"The":[0],"discrete":[1],"approximation":[2],"to":[3,16],"a":[4,17,20,45],"second":[5],"order":[6],"boundary":[7],"value":[8],"problem":[9],"by":[10,49],"finite":[11],"difference":[12],"methods":[13,56],"gives":[14],"rise":[15],"system":[18,46],"with":[19,54],"coefficient":[21],"matrix":[22],"which":[23],"is":[24,39,52],"typically":[25],"banded.":[26],"Several":[27],"articles":[28],"discuss":[29],"the":[30,36,42],"solution":[31],"of":[32,44],"such":[33],"systems.":[34],"Here":[35],"efficient":[37],"method":[38],"based":[40],"on":[41],"idea":[43],"perturbation":[47],"followed":[48],"corrections":[50],"and":[51],"competitive":[53],"standard":[55]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
