{"id":"https://openalex.org/W2155838358","doi":"https://doi.org/10.1080/00207160108805100","title":"Numerical solutions for system of third-order boundary value problems","display_name":"Numerical solutions for system of third-order boundary value problems","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2155838358","doi":"https://doi.org/10.1080/00207160108805100","mag":"2155838358"},"language":"en","primary_location":{"id":"doi:10.1080/00207160108805100","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160108805100","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/A5111752781","display_name":"Eisa Al-Said","orcid":null},"institutions":[{"id":"https://openalex.org/I28022161","display_name":"King Saud University","ror":"https://ror.org/02f81g417","country_code":"SA","type":"education","lineage":["https://openalex.org/I28022161"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Eisa A. Al-Said","raw_affiliation_strings":["Mathematics Department, College of Science , King Saud University , P.O. Box 2455, Riyadh , Saudi Arabia , 11451"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, College of Science , King Saud University , P.O. Box 2455, Riyadh , Saudi Arabia , 11451","institution_ids":["https://openalex.org/I28022161"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111752781"],"corresponding_institution_ids":["https://openalex.org/I28022161"],"apc_list":null,"apc_paid":null,"fwci":1.3451,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.81869115,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"78","issue":"1","first_page":"111","last_page":"121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9997000098228455,"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/T12809","display_name":"Contact Mechanics and Variational Inequalities","score":0.9997000098228455,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9962000250816345,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/obstacle","display_name":"Obstacle","score":0.7246823310852051},{"id":"https://openalex.org/keywords/variational-inequality","display_name":"Variational inequality","score":0.7137769460678101},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.6931034922599792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6863111257553101},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.6781895756721497},{"id":"https://openalex.org/keywords/obstacle-problem","display_name":"Obstacle problem","score":0.6572832465171814},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6383724212646484},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5562731623649597},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49716904759407043},{"id":"https://openalex.org/keywords/third-order","display_name":"Third order","score":0.446433424949646},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.44283604621887207},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3322092890739441},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31250423192977905}],"concepts":[{"id":"https://openalex.org/C2776650193","wikidata":"https://www.wikidata.org/wiki/Q264661","display_name":"Obstacle","level":2,"score":0.7246823310852051},{"id":"https://openalex.org/C161999928","wikidata":"https://www.wikidata.org/wiki/Q4556320","display_name":"Variational inequality","level":2,"score":0.7137769460678101},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6931034922599792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6863111257553101},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.6781895756721497},{"id":"https://openalex.org/C132369183","wikidata":"https://www.wikidata.org/wiki/Q3406250","display_name":"Obstacle problem","level":3,"score":0.6572832465171814},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6383724212646484},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5562731623649597},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49716904759407043},{"id":"https://openalex.org/C2777566824","wikidata":"https://www.wikidata.org/wiki/Q1259252","display_name":"Third order","level":2,"score":0.446433424949646},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.44283604621887207},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3322092890739441},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31250423192977905},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160108805100","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160108805100","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":30,"referenced_works":["https://openalex.org/W404836453","https://openalex.org/W1516681311","https://openalex.org/W1967077838","https://openalex.org/W1967740564","https://openalex.org/W1969675363","https://openalex.org/W1973356945","https://openalex.org/W1976709530","https://openalex.org/W1986074636","https://openalex.org/W1986433866","https://openalex.org/W1989743438","https://openalex.org/W2004326643","https://openalex.org/W2010462593","https://openalex.org/W2013490212","https://openalex.org/W2015562476","https://openalex.org/W2050088224","https://openalex.org/W2064176740","https://openalex.org/W2068006261","https://openalex.org/W2069142066","https://openalex.org/W2078156672","https://openalex.org/W2078644288","https://openalex.org/W2090344516","https://openalex.org/W2117384228","https://openalex.org/W2118168201","https://openalex.org/W2149003961","https://openalex.org/W2477437045","https://openalex.org/W2607811621","https://openalex.org/W2790980361","https://openalex.org/W3021591933","https://openalex.org/W4200153169","https://openalex.org/W4234028290"],"related_works":["https://openalex.org/W2368569380","https://openalex.org/W1989743438","https://openalex.org/W1993397232","https://openalex.org/W4238417450","https://openalex.org/W1482810786","https://openalex.org/W1969086070","https://openalex.org/W4253224454","https://openalex.org/W107811838","https://openalex.org/W2998793487","https://openalex.org/W4308703440"],"abstract_inverted_index":{"We":[0,44],"develop":[1],"a":[2,12,27],"numerical":[3,59],"method":[4,52],"for":[5,8],"computing":[6],"approximations":[7],"the":[9,38,46,50,65,75,78],"solutions":[10],"of":[11,14,40,49,77],"system":[13],"third":[15],"order":[16,23],"boundary":[17],"value":[18],"problems":[19],"associated":[20],"with":[21],"odd":[22],"obstacle":[24],"problems.":[25],"Such":[26],"problem":[28],"arise":[29],"in":[30,37],"physical":[31],"oceanography":[32],"and":[33,53],"can":[34],"be":[35],"studied":[36],"framework":[39],"variational":[41],"inequality":[42],"theory.":[43],"study":[45],"convergence":[47],"analysis":[48],"present":[51],"we":[54],"show":[55],"that":[56],"it":[57],"gives":[58],"results":[60],"which":[61],"are":[62],"better":[63],"than":[64],"other":[66],"available":[67],"results.":[68],"Numerical":[69],"example":[70],"is":[71],"presented":[72],"to":[73],"illustrate":[74],"applicability":[76],"new":[79],"method.":[80]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"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"}