{"id":"https://openalex.org/W4392346507","doi":"https://doi.org/10.1080/00207160.2024.2323990","title":"A fast computational technique to solve fourth-order parabolic equations: application to good Boussinesq, Euler-Bernoulli and Benjamin-Ono equations","display_name":"A fast computational technique to solve fourth-order parabolic equations: application to good Boussinesq, Euler-Bernoulli and Benjamin-Ono equations","publication_year":2024,"publication_date":"2024-02-01","ids":{"openalex":"https://openalex.org/W4392346507","doi":"https://doi.org/10.1080/00207160.2024.2323990"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2024.2323990","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2024.2323990","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/A5103842977","display_name":"Sachin Sharma","orcid":null},"institutions":[{"id":"https://openalex.org/I36090812","display_name":"Netaji Subhas University of Technology","ror":"https://ror.org/01fczmh85","country_code":"IN","type":"education","lineage":["https://openalex.org/I36090812"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Sachin Sharma","raw_affiliation_strings":["Department of Mathematics, Netaji Subhas University of Technology, New Delhi, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Netaji Subhas University of Technology, New Delhi, India","institution_ids":["https://openalex.org/I36090812"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5104183334","display_name":"Naina Sharma","orcid":"https://orcid.org/0009-0008-0476-0257"},"institutions":[{"id":"https://openalex.org/I36090812","display_name":"Netaji Subhas University of Technology","ror":"https://ror.org/01fczmh85","country_code":"IN","type":"education","lineage":["https://openalex.org/I36090812"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Naina Sharma","raw_affiliation_strings":["Department of Mathematics, Netaji Subhas University of Technology, New Delhi, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Netaji Subhas University of Technology, New Delhi, India","institution_ids":["https://openalex.org/I36090812"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5104183334"],"corresponding_institution_ids":["https://openalex.org/I36090812"],"apc_list":null,"apc_paid":null,"fwci":3.5345,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.92979698,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"101","issue":"2","first_page":"194","last_page":"216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9995999932289124,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9973000288009644,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9955000281333923,"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/bernoullis-principle","display_name":"Bernoulli's principle","score":0.7602243423461914},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7490459680557251},{"id":"https://openalex.org/keywords/euler-equations","display_name":"Euler equations","score":0.7203451991081238},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.5384611487388611},{"id":"https://openalex.org/keywords/backward-euler-method","display_name":"Backward Euler method","score":0.48493435978889465},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4656342566013336},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.44313183426856995},{"id":"https://openalex.org/keywords/boussinesq-approximation","display_name":"Boussinesq approximation (buoyancy)","score":0.41320496797561646},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.15798979997634888},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0917101800441742},{"id":"https://openalex.org/keywords/heat-transfer","display_name":"Heat transfer","score":0.0757739245891571}],"concepts":[{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.7602243423461914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7490459680557251},{"id":"https://openalex.org/C38409319","wikidata":"https://www.wikidata.org/wiki/Q375175","display_name":"Euler equations","level":2,"score":0.7203451991081238},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.5384611487388611},{"id":"https://openalex.org/C768646","wikidata":"https://www.wikidata.org/wiki/Q2736820","display_name":"Backward Euler method","level":3,"score":0.48493435978889465},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4656342566013336},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44313183426856995},{"id":"https://openalex.org/C181152433","wikidata":"https://www.wikidata.org/wiki/Q895274","display_name":"Boussinesq approximation (buoyancy)","level":5,"score":0.41320496797561646},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.15798979997634888},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0917101800441742},{"id":"https://openalex.org/C50517652","wikidata":"https://www.wikidata.org/wiki/Q179635","display_name":"Heat transfer","level":2,"score":0.0757739245891571},{"id":"https://openalex.org/C54791560","wikidata":"https://www.wikidata.org/wiki/Q3285020","display_name":"Natural convection","level":3,"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/C106836276","wikidata":"https://www.wikidata.org/wiki/Q898249","display_name":"Rayleigh number","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2024.2323990","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2024.2323990","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":[{"id":"https://metadata.un.org/sdg/14","display_name":"Life below water","score":0.6600000262260437}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1601934906","https://openalex.org/W1965619306","https://openalex.org/W1976601520","https://openalex.org/W1990559214","https://openalex.org/W1992873236","https://openalex.org/W1998639892","https://openalex.org/W2018449064","https://openalex.org/W2020882882","https://openalex.org/W2024299142","https://openalex.org/W2041556046","https://openalex.org/W2045573266","https://openalex.org/W2046166971","https://openalex.org/W2046633660","https://openalex.org/W2059730195","https://openalex.org/W2063699998","https://openalex.org/W2064658817","https://openalex.org/W2067446040","https://openalex.org/W2067713762","https://openalex.org/W2068369814","https://openalex.org/W2088508768","https://openalex.org/W2092828396","https://openalex.org/W2101789350","https://openalex.org/W2140496352","https://openalex.org/W2200450870","https://openalex.org/W2567340086","https://openalex.org/W2897205367","https://openalex.org/W2913051837","https://openalex.org/W2946833292","https://openalex.org/W2999243344","https://openalex.org/W3006750879","https://openalex.org/W3013385237","https://openalex.org/W3015665575","https://openalex.org/W3035235874","https://openalex.org/W3154883237","https://openalex.org/W4206097460","https://openalex.org/W4282935745","https://openalex.org/W4288081545"],"related_works":["https://openalex.org/W2009711572","https://openalex.org/W3020534285","https://openalex.org/W2089955609","https://openalex.org/W2466040413","https://openalex.org/W2189596786","https://openalex.org/W2563697776","https://openalex.org/W2039299714","https://openalex.org/W3124634719","https://openalex.org/W1981367860","https://openalex.org/W1674877062"],"abstract_inverted_index":{"In":[0],"this":[1,48],"article,":[2],"we":[3,84],"introduce":[4],"a":[5,15,31,37,99],"novel":[6],"cubic":[7],"spline":[8],"method":[9,25,49,83],"for":[10],"the":[11,43,60,79,112,118,135,139,144],"numerical":[12,123],"solution":[13],"of":[14,17,34,40,62,134],"class":[16],"fourth-order":[18,71],"time-dependent":[19],"parabolic":[20,56],"partial":[21,72],"differential":[22,73],"equations.":[23],"The":[24,68,82],"employs":[26],"uniform":[27],"mesh":[28],"discretization,":[29],"achieving":[30],"spatial":[32,66],"accuracy":[33,39,91],"four":[35],"and":[36,92,127,132,143],"temporal":[38],"two.":[41],"Here,":[42],"key":[44],"contribution":[45],"is":[46,75,98],"that":[47,102],"can":[50,103],"be":[51],"directly":[52],"applied":[53],"to":[54,59,77,106,114,121],"singular":[55],"problems":[57,110,129],"due":[58],"consideration":[61],"half-step":[63],"points":[64],"in":[65],"direction.":[67],"model":[69,142],"linear":[70,126],"equation":[74],"used":[76],"discuss":[78],"method's":[80],"stability.":[81],"propose":[85],"has":[86],"multiple":[87],"advantages,":[88],"including":[89],"high":[90],"seamless":[93],"point-to-point":[94],"interpolation":[95],"capabilities.":[96],"It":[97],"versatile":[100],"technique":[101],"easily":[104],"adapt":[105],"solve":[107],"various":[108],"nonlinear":[109,119,128],"without":[111],"need":[113],"change":[115],"or":[116],"linearize":[117],"terms":[120],"produce":[122],"solutions.":[124],"Benchmark":[125],"like":[130],"single":[131],"double-soliton":[133],"good":[136],"Boussinesq":[137],"equation,":[138,146],"Euler-Bernoulli":[140],"beam":[141],"Benjamin-Ono":[145],"are":[147],"solved.":[148]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
