{"id":"https://openalex.org/W4401091136","doi":"https://doi.org/10.1080/00207160.2024.2384598","title":"Streamlined numerical solutions of burgers' equations bridging the tailored finite point method and the Cole Hopf transformation","display_name":"Streamlined numerical solutions of burgers' equations bridging the tailored finite point method and the Cole Hopf transformation","publication_year":2024,"publication_date":"2024-07-02","ids":{"openalex":"https://openalex.org/W4401091136","doi":"https://doi.org/10.1080/00207160.2024.2384598"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2024.2384598","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2024.2384598","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/A5054086348","display_name":"V P Shyaman","orcid":null},"institutions":[{"id":"https://openalex.org/I114845381","display_name":"National Institute of Technology Calicut","ror":"https://ror.org/03yyd7552","country_code":"IN","type":"education","lineage":["https://openalex.org/I114845381"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"V. P. Shyaman","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Calicut, Calicut, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Calicut, Calicut, India","institution_ids":["https://openalex.org/I114845381"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081991145","display_name":"A. Sreelakshmi","orcid":null},"institutions":[{"id":"https://openalex.org/I114845381","display_name":"National Institute of Technology Calicut","ror":"https://ror.org/03yyd7552","country_code":"IN","type":"education","lineage":["https://openalex.org/I114845381"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"A. Sreelakshmi","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Calicut, Calicut, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Calicut, Calicut, India","institution_ids":["https://openalex.org/I114845381"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115591560","display_name":"Ashish Awasthi","orcid":null},"institutions":[{"id":"https://openalex.org/I114845381","display_name":"National Institute of Technology Calicut","ror":"https://ror.org/03yyd7552","country_code":"IN","type":"education","lineage":["https://openalex.org/I114845381"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Ashish Awasthi","raw_affiliation_strings":["Department of Mathematics, National Institute of Technology Calicut, Calicut, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Institute of Technology Calicut, Calicut, India","institution_ids":["https://openalex.org/I114845381"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5115591560"],"corresponding_institution_ids":["https://openalex.org/I114845381"],"apc_list":null,"apc_paid":null,"fwci":2.2596,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.87385577,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"101","issue":"7","first_page":"789","last_page":"818"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9947999715805054,"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":0.9947999715805054,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/stencil","display_name":"Stencil","score":0.9474527835845947},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7757549285888672},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.6218477487564087},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5797048211097717},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5147750377655029},{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.5093330144882202},{"id":"https://openalex.org/keywords/bridging","display_name":"Bridging (networking)","score":0.4875797629356384},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.46916231513023376},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.42544832825660706},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34741538763046265},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15309271216392517},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.1490148901939392},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07876428961753845}],"concepts":[{"id":"https://openalex.org/C76752949","wikidata":"https://www.wikidata.org/wiki/Q7607499","display_name":"Stencil","level":2,"score":0.9474527835845947},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7757549285888672},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.6218477487564087},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5797048211097717},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5147750377655029},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.5093330144882202},{"id":"https://openalex.org/C174348530","wikidata":"https://www.wikidata.org/wiki/Q188635","display_name":"Bridging (networking)","level":2,"score":0.4875797629356384},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.46916231513023376},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.42544832825660706},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34741538763046265},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15309271216392517},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.1490148901939392},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07876428961753845},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.0},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2024.2384598","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2024.2384598","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/F4320320767","display_name":"University Grants Commission","ror":"https://ror.org/04p800546"},{"id":"https://openalex.org/F4320322724","display_name":"Ministry of Education, India","ror":"https://ror.org/048xjjh50"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W277581698","https://openalex.org/W1057021034","https://openalex.org/W1966781397","https://openalex.org/W1980128768","https://openalex.org/W1983552801","https://openalex.org/W1984318256","https://openalex.org/W1986777371","https://openalex.org/W1987134951","https://openalex.org/W1994391441","https://openalex.org/W1995889472","https://openalex.org/W1996746913","https://openalex.org/W1998577437","https://openalex.org/W2008248165","https://openalex.org/W2008423710","https://openalex.org/W2012642549","https://openalex.org/W2014283195","https://openalex.org/W2030411069","https://openalex.org/W2032689657","https://openalex.org/W2032890031","https://openalex.org/W2032967253","https://openalex.org/W2040104213","https://openalex.org/W2045384647","https://openalex.org/W2052964794","https://openalex.org/W2053647988","https://openalex.org/W2054071080","https://openalex.org/W2065545353","https://openalex.org/W2073103099","https://openalex.org/W2073607859","https://openalex.org/W2078105707","https://openalex.org/W2082718162","https://openalex.org/W2087697181","https://openalex.org/W2089086358","https://openalex.org/W2091505322","https://openalex.org/W2099283728","https://openalex.org/W2115083628","https://openalex.org/W2122953204","https://openalex.org/W2160326158","https://openalex.org/W2165530593","https://openalex.org/W2280851575","https://openalex.org/W2314262586","https://openalex.org/W2316973081","https://openalex.org/W2329162902","https://openalex.org/W2478468304","https://openalex.org/W2480255231","https://openalex.org/W2565432921","https://openalex.org/W2588232568","https://openalex.org/W2602333721","https://openalex.org/W2725032484","https://openalex.org/W2725738840","https://openalex.org/W2806271587","https://openalex.org/W2897817792","https://openalex.org/W2912010126","https://openalex.org/W2925787612","https://openalex.org/W2948763861","https://openalex.org/W3040119875","https://openalex.org/W3093658895","https://openalex.org/W3151728284","https://openalex.org/W3172249873","https://openalex.org/W3182957206","https://openalex.org/W4214507218","https://openalex.org/W4282839864","https://openalex.org/W4323026684","https://openalex.org/W4362661859","https://openalex.org/W4380991402","https://openalex.org/W4388773970","https://openalex.org/W6646800535"],"related_works":["https://openalex.org/W3105129168","https://openalex.org/W2804920739","https://openalex.org/W4316371992","https://openalex.org/W2186216222","https://openalex.org/W2392765154","https://openalex.org/W2564509292","https://openalex.org/W2008005532","https://openalex.org/W3158486860","https://openalex.org/W4386366928","https://openalex.org/W2765282948"],"abstract_inverted_index":{"This":[0],"paper":[1],"explores":[2],"the":[3,7,26,41,45,56,60,68,71,76,79,84,90,93,97,102,107,116,125],"possibility":[4],"of":[5,55,70,92,101,109],"solving":[6],"one-dimensional":[8],"Burgers'":[9],"equation":[10],"with":[11,24,115],"a":[12,52],"tailored":[13],"finite":[14],"point":[15],"method":[16,103],"(TFPM)":[17],"based":[18],"on":[19,35],"an":[20,36],"explicit":[21,37],"stencil":[22,39],"along":[23],"utilizing":[25],"Cole":[27],"Hopf":[28],"transformation.":[29],"The":[30,99],"proposed":[31],"TFPM":[32,110],"procedure":[33],"operates":[34],"four-point":[38],"where":[40],"nodal":[42,57],"solution":[43],"at":[44,59],"advanced":[46],"temporal":[47,62],"level":[48],"is":[49,104],"written":[50],"as":[51],"linear":[53,85],"combination":[54],"solutions":[58,74,95,111,118,120],"preceding":[61],"level.":[63],"In":[64],"order":[65],"to":[66],"bring":[67],"essence":[69],"local":[72],"exact":[73,117],"into":[75,96],"numerical":[77],"approximations":[78],"scalar":[80],"coefficients":[81],"involved":[82],"in":[83,124],"sum":[86],"are":[87],"determined":[88],"by":[89],"application":[91],"fundamental":[94],"stencil.":[98],"efficiency":[100],"demonstrated":[105],"through":[106],"comparisons":[108],"for":[112],"various":[113],"examples":[114],"and":[119],"from":[121],"well-established":[122],"methodologies":[123],"literature.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
