{"id":"https://openalex.org/W2967562387","doi":"https://doi.org/10.1080/00207160.2019.1652738","title":"Uniform error estimates of fourth-order conservative linearized difference scheme for a mathematical model for long wave","display_name":"Uniform error estimates of fourth-order conservative linearized difference scheme for a mathematical model for long wave","publication_year":2019,"publication_date":"2019-08-08","ids":{"openalex":"https://openalex.org/W2967562387","doi":"https://doi.org/10.1080/00207160.2019.1652738","mag":"2967562387"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2019.1652738","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1652738","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/A5052700327","display_name":"Khedidja Bayarassou","orcid":null},"institutions":[{"id":"https://openalex.org/I8636806","display_name":"University of Sousse","ror":"https://ror.org/00dmpgj58","country_code":"TN","type":"education","lineage":["https://openalex.org/I8636806"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Khedidja Bayarassou","raw_affiliation_strings":["Institut Sup\u00e9rieur des Sciences Appliqu\u00e9es et de Technologie de Sousse, Universit\u00e9 de Sousse, Sousse, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Sup\u00e9rieur des Sciences Appliqu\u00e9es et de Technologie de Sousse, Universit\u00e9 de Sousse, Sousse, Tunisia","institution_ids":["https://openalex.org/I8636806"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068304549","display_name":"Asma Rouatbi","orcid":null},"institutions":[{"id":"https://openalex.org/I8636806","display_name":"University of Sousse","ror":"https://ror.org/00dmpgj58","country_code":"TN","type":"education","lineage":["https://openalex.org/I8636806"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Asma Rouatbi","raw_affiliation_strings":["Institut Sup\u00e9rieur des Sciences Appliqu\u00e9es et de Technologie de Sousse, Universit\u00e9 de Sousse, Sousse, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Sup\u00e9rieur des Sciences Appliqu\u00e9es et de Technologie de Sousse, Universit\u00e9 de Sousse, Sousse, Tunisia","institution_ids":["https://openalex.org/I8636806"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010873105","display_name":"Khaled Omrani","orcid":"https://orcid.org/0000-0001-8887-931X"},"institutions":[{"id":"https://openalex.org/I8636806","display_name":"University of Sousse","ror":"https://ror.org/00dmpgj58","country_code":"TN","type":"education","lineage":["https://openalex.org/I8636806"]}],"countries":["TN"],"is_corresponding":true,"raw_author_name":"Khaled Omrani","raw_affiliation_strings":["Institut Sup\u00e9rieur des Sciences Appliqu\u00e9es et de Technologie de Sousse, Universit\u00e9 de Sousse, Sousse, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Sup\u00e9rieur des Sciences Appliqu\u00e9es et de Technologie de Sousse, Universit\u00e9 de Sousse, Sousse, Tunisia","institution_ids":["https://openalex.org/I8636806"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5010873105"],"corresponding_institution_ids":["https://openalex.org/I8636806"],"apc_list":null,"apc_paid":null,"fwci":2.0882,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.86740445,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"97","issue":"8","first_page":"1678","last_page":"1703"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.9990000128746033,"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":0.9955999851226807,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8384905457496643},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5339122414588928},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.5226112008094788},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.49629098176956177},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4957009553909302},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.47284749150276184},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.47197064757347107},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.46371224522590637},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.4627203345298767},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.45037567615509033},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41849613189697266},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09493738412857056},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08842805027961731}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8384905457496643},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5339122414588928},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.5226112008094788},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.49629098176956177},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4957009553909302},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.47284749150276184},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.47197064757347107},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.46371224522590637},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.4627203345298767},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.45037567615509033},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41849613189697266},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09493738412857056},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08842805027961731},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2019.1652738","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2019.1652738","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":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1872704448","https://openalex.org/W1972300210","https://openalex.org/W1979227627","https://openalex.org/W1986670726","https://openalex.org/W1987551505","https://openalex.org/W2005380085","https://openalex.org/W2017120543","https://openalex.org/W2017253015","https://openalex.org/W2023730283","https://openalex.org/W2025241285","https://openalex.org/W2035107887","https://openalex.org/W2044159900","https://openalex.org/W2051800070","https://openalex.org/W2057008844","https://openalex.org/W2077464783","https://openalex.org/W2078773005","https://openalex.org/W2116074698","https://openalex.org/W2132775908","https://openalex.org/W2155243641","https://openalex.org/W2171557564","https://openalex.org/W2298565491","https://openalex.org/W2499627372","https://openalex.org/W2754491492","https://openalex.org/W2782273292","https://openalex.org/W2804717047","https://openalex.org/W3135064785"],"related_works":["https://openalex.org/W2330640442","https://openalex.org/W1975234065","https://openalex.org/W2392533133","https://openalex.org/W2617981106","https://openalex.org/W4251142058","https://openalex.org/W1965041963","https://openalex.org/W2007426143","https://openalex.org/W2010592405","https://openalex.org/W2370103702","https://openalex.org/W2138146375"],"abstract_inverted_index":{"This":[0],"article":[1,151],"is":[2,26,33,45,94,120],"devoted":[3],"to":[4,52,104],"the":[5,29,42,49,63,69,76,100,106,110,136,145,153,156],"study":[6],"of":[7,17,41,54,88,99,109,115,149,155],"high-order":[8],"conservative":[9],"linearized":[10,146],"finite":[11],"difference":[12,31,43,147],"scheme":[13,32,44,148],"for":[14,75,123],"a":[15,116],"model":[16],"nonlinear":[18],"dispersive":[19],"equation:":[20],"regularized":[21,70,78],"long-wave-Korteweg\u2013de":[22],"Vries":[23],"equation.":[24],"It":[25],"proved":[27,46],"that":[28,144],"proposed":[30],"uniquely":[34],"solvable":[35],"and":[36,58,129,158,161],"unconditionally":[37],"convergent.":[38],"The":[39,96,112,140],"convergence":[40],"by":[47],"using":[48],"energy":[50],"method":[51],"be":[53],"fourth-order":[55],"in":[56,60,62,84,135],"space":[57,157],"second-order":[59],"time":[61,159,164],"discrete":[64],"L\u221e-norm.":[65],"An":[66],"application":[67],"on":[68],"long-wave":[71,79],"equation":[72,80],"as":[73],"well":[74],"modified":[77],"are":[81,102,138],"discussed":[82],"numerically":[83],"detail.":[85],"Furthermore,":[86],"interaction":[87],"solitary":[89],"waves":[90],"with":[91,131],"different":[92],"amplitudes":[93],"shown.":[95],"three":[97],"invariants":[98],"motion":[101],"evaluated":[103],"determine":[105],"conservation":[107],"properties":[108],"system.":[111],"temporal":[113],"evaluation":[114],"Maxwellian":[117],"initial":[118],"pulse":[119],"then":[121],"studied":[122],"both":[124],"equations.":[125],"Some":[126],"numerical":[127,141],"results":[128,142],"comparisons":[130],"other":[132],"existing":[133],"methods":[134],"literature":[137],"presented.":[139],"show":[143],"this":[150],"improves":[152],"accuracy":[154],"direction":[160],"shortens":[162],"computation":[163],"largely.":[165]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}