{"id":"https://openalex.org/W2923623227","doi":"https://doi.org/10.1080/00207160.2019.1597972","title":"A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems","display_name":"A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems","publication_year":2019,"publication_date":"2019-03-21","ids":{"openalex":"https://openalex.org/W2923623227","doi":"https://doi.org/10.1080/00207160.2019.1597972","mag":"2923623227"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2019.1597972","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1597972","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","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"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/A5016163083","display_name":"Maneesh Kumar Singh","orcid":"https://orcid.org/0000-0003-2623-5441"},"institutions":[{"id":"https://openalex.org/I1317621060","display_name":"Indian Institute of Technology Guwahati","ror":"https://ror.org/0022nd079","country_code":"IN","type":"education","lineage":["https://openalex.org/I1317621060"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Maneesh Kumar Singh","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology, Guwahati, India"],"raw_orcid":"https://orcid.org/0000-0003-2623-5441","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology, Guwahati, India","institution_ids":["https://openalex.org/I1317621060"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047608967","display_name":"Srinivasan Natesan","orcid":"https://orcid.org/0000-0001-7527-1989"},"institutions":[{"id":"https://openalex.org/I1317621060","display_name":"Indian Institute of Technology Guwahati","ror":"https://ror.org/0022nd079","country_code":"IN","type":"education","lineage":["https://openalex.org/I1317621060"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Srinivasan Natesan","raw_affiliation_strings":["Department of Mathematics, Indian Institute of Technology, Guwahati, India"],"raw_orcid":"https://orcid.org/0000-0001-7527-1989","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Indian Institute of Technology, Guwahati, India","institution_ids":["https://openalex.org/I1317621060"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016163083"],"corresponding_institution_ids":["https://openalex.org/I1317621060"],"apc_list":null,"apc_paid":null,"fwci":1.754,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.828541,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"97","issue":"4","first_page":"875","last_page":"905"},"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/T13685","display_name":"Material Science and Thermodynamics","score":0.9402999877929688,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9065999984741211,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/discretization","display_name":"Discretization","score":0.8549625873565674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8301536440849304},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5795626044273376},{"id":"https://openalex.org/keywords/uniform-convergence","display_name":"Uniform convergence","score":0.5471188426017761},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5302253365516663},{"id":"https://openalex.org/keywords/finite-difference-scheme","display_name":"Finite difference scheme","score":0.5182614326477051},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.5131171345710754},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.5066097974777222},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.46805256605148315},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.45308294892311096},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4426397979259491},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.428718239068985},{"id":"https://openalex.org/keywords/time-derivative","display_name":"Time derivative","score":0.42179229855537415},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4202633500099182},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.4178861379623413},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4175131320953369}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8549625873565674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8301536440849304},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5795626044273376},{"id":"https://openalex.org/C157709441","wikidata":"https://www.wikidata.org/wiki/Q1411887","display_name":"Uniform convergence","level":3,"score":0.5471188426017761},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5302253365516663},{"id":"https://openalex.org/C2988766672","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference scheme","level":2,"score":0.5182614326477051},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.5131171345710754},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.5066097974777222},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.46805256605148315},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.45308294892311096},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4426397979259491},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.428718239068985},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.42179229855537415},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4202633500099182},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.4178861379623413},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4175131320953369},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2019.1597972","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1597972","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","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"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":22,"referenced_works":["https://openalex.org/W67803107","https://openalex.org/W1550364336","https://openalex.org/W1965678115","https://openalex.org/W1990884820","https://openalex.org/W1991934805","https://openalex.org/W2018032381","https://openalex.org/W2036860374","https://openalex.org/W2040599320","https://openalex.org/W2041771792","https://openalex.org/W2048190836","https://openalex.org/W2054744338","https://openalex.org/W2072685235","https://openalex.org/W2114592663","https://openalex.org/W2115251580","https://openalex.org/W2123117227","https://openalex.org/W2125383810","https://openalex.org/W2139322509","https://openalex.org/W2143611126","https://openalex.org/W2395931424","https://openalex.org/W2401320252","https://openalex.org/W2799994009","https://openalex.org/W4238363765"],"related_works":["https://openalex.org/W2041773168","https://openalex.org/W3021213266","https://openalex.org/W4286628505","https://openalex.org/W2112506519","https://openalex.org/W3216555952","https://openalex.org/W2016553692","https://openalex.org/W2525825098","https://openalex.org/W4377097387","https://openalex.org/W2992814208","https://openalex.org/W2467929130"],"abstract_inverted_index":{"We":[0,19,42],"present":[1],"the":[2,21,25,29,35,46,67],"hybrid":[3,36],"finite":[4],"difference":[5,37],"scheme":[6,38,49],"for":[7],"singularly":[8],"perturbed":[9],"system":[10],"of":[11,53],"parabolic":[12],"convection-diffusion":[13],"problems":[14],"exhibiting":[15],"overlapping":[16],"boundary":[17],"layers.":[18],"discretize":[20],"time":[22],"derivative":[23],"by":[24,34],"backward-Euler":[26],"method":[27],"and":[28,58],"spatial":[30,62],"derivatives":[31],"is":[32,50],"discretized":[33],"on":[39],"Shishkin":[40],"mesh.":[41],"have":[43],"shown":[44],"that":[45],"presented":[47],"numerical":[48],"parameter-uniform":[51],"convergent":[52],"first-order":[54],"in":[55,61],"temporal":[56],"variable":[57],"almost":[59],"second-order":[60],"variable.":[63],"Numerical":[64],"experiments":[65],"supporting":[66],"theoretical":[68],"results":[69],"are":[70],"presented.":[71]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}
