{"id":"https://openalex.org/W1990750248","doi":"https://doi.org/10.1080/00207169608804475","title":"Fourth-order optimal iterative schemes for convection-diffusion equation","display_name":"Fourth-order optimal iterative schemes for convection-diffusion equation","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W1990750248","doi":"https://doi.org/10.1080/00207169608804475","mag":"1990750248"},"language":"en","primary_location":{"id":"doi:10.1080/00207169608804475","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169608804475","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/A5024568720","display_name":"Muddun Bhuruth","orcid":"https://orcid.org/0000-0003-4233-9937"},"institutions":[{"id":"https://openalex.org/I69072986","display_name":"University of Mauritius","ror":"https://ror.org/05cyprz33","country_code":"MU","type":"education","lineage":["https://openalex.org/I69072986"]}],"countries":["MU"],"is_corresponding":true,"raw_author_name":"Muddun Bhuruth","raw_affiliation_strings":["\n                   \n               Department of Mathematics Faculty of Science, University of Mauritius, Reduit, Mauritius","Department of Mathematics, Faculty of Science, University of Mauritius, Reduit, Mauritius"],"affiliations":[{"raw_affiliation_string":"\n                   \n               Department of Mathematics Faculty of Science, University of Mauritius, Reduit, Mauritius","institution_ids":["https://openalex.org/I69072986"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University of Mauritius, Reduit, Mauritius","institution_ids":["https://openalex.org/I69072986"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024568720"],"corresponding_institution_ids":["https://openalex.org/I69072986"],"apc_list":null,"apc_paid":null,"fwci":0.4699,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59924207,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"60","issue":"1-2","first_page":"63","last_page":"75"},"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9995999932289124,"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":0.9994999766349792,"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/mathematics","display_name":"Mathematics","score":0.8065977692604065},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.691865861415863},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6117940545082092},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.570867121219635},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5492364168167114},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.5344207882881165},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4754737913608551},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4638737440109253},{"id":"https://openalex.org/keywords/numerical-solution-of-the-convection\u2013diffusion-equation","display_name":"Numerical solution of the convection\u2013diffusion equation","score":0.4300094246864319},{"id":"https://openalex.org/keywords/convection","display_name":"Convection","score":0.4101664423942566},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12064704298973083},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.09899294376373291},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07751533389091492}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8065977692604065},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.691865861415863},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6117940545082092},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.570867121219635},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5492364168167114},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.5344207882881165},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4754737913608551},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4638737440109253},{"id":"https://openalex.org/C101303905","wikidata":"https://www.wikidata.org/wiki/Q17104838","display_name":"Numerical solution of the convection\u2013diffusion equation","level":4,"score":0.4300094246864319},{"id":"https://openalex.org/C10899652","wikidata":"https://www.wikidata.org/wiki/Q160329","display_name":"Convection","level":2,"score":0.4101664423942566},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12064704298973083},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.09899294376373291},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07751533389091492},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207169608804475","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169608804475","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":[{"id":"https://openalex.org/F4320310071","display_name":"Indian Institute of Science","ror":"https://ror.org/04dese585"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1974507970","https://openalex.org/W1987001136","https://openalex.org/W1992653386","https://openalex.org/W2000607924","https://openalex.org/W2022396725","https://openalex.org/W2032005767","https://openalex.org/W2081108963","https://openalex.org/W2082058955","https://openalex.org/W2588081979","https://openalex.org/W2796963055","https://openalex.org/W4232913110","https://openalex.org/W6982606098"],"related_works":["https://openalex.org/W1994822208","https://openalex.org/W2124138615","https://openalex.org/W1981721685","https://openalex.org/W4313290838","https://openalex.org/W2383506381","https://openalex.org/W2348610871","https://openalex.org/W2370498728","https://openalex.org/W2361357266","https://openalex.org/W3006165819","https://openalex.org/W2141533127"],"abstract_inverted_index":{"Abstract":[0],"Successive":[1],"overrelaxation":[2],"schemes":[3,28,74],"along":[4],"with":[5,15,46],"their":[6],"scope":[7],"are":[8,23,44,54],"presented":[9],"for":[10,26,62],"the":[11,32,35,38,47,73,76],"one-dimensional":[12],"convection-diffusion":[13],"equation":[14,36],"a":[16],"small":[17],"diffusion":[18],"coefficient.":[19],"Optimum":[20],"relaxation":[21],"parameters":[22],"derived":[24],"analytically":[25],"these":[27],"developed":[29],"by":[30],"approximating":[31],"derivatives":[33],"in":[34],"using":[37],"compact":[39],"fourth-order":[40],"differences.":[41],"The":[42],"solutions":[43,52],"compared":[45],"widely":[48],"used":[49],"central":[50],"difference":[51],"and":[53,60],"found":[55],"to":[56],"be":[57],"both":[58],"oscillation-free":[59],"convergent":[61],"ail":[63],"ceil":[64],"Reynolds":[65],"numbers.":[66],"Numeri-":[67],"cal":[68],"experiments":[69],"carried":[70],"out":[71],"on":[72],"supplement":[75],"analytical":[77],"results.":[78],"Keywords:":[79],"Central-differenceconvection-diffusion":[80],"equationcyclic":[81],"reductionfourth-orderdifferenceJacobi":[82],"methodsuccessive":[83],"overrelaxationupwind":[84],"differenceC.R.":[85],"CATEGORIES:":[86],"G.1.3":[87]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
