{"id":"https://openalex.org/W3005791665","doi":"https://doi.org/10.1007/s40314-020-1063-6","title":"A spatial sixth-order CCD-TVD method for solving multidimensional coupled Burgers\u2019 equation","display_name":"A spatial sixth-order CCD-TVD method for solving multidimensional coupled Burgers\u2019 equation","publication_year":2020,"publication_date":"2020-02-15","ids":{"openalex":"https://openalex.org/W3005791665","doi":"https://doi.org/10.1007/s40314-020-1063-6","mag":"3005791665"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-020-1063-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-1063-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied 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/A5029772640","display_name":"Kejia Pan","orcid":"https://orcid.org/0000-0001-5768-7972"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kejia Pan","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha, 410083, Hunan, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, 410083, Hunan, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087446284","display_name":"Xiaoxin Wu","orcid":"https://orcid.org/0000-0001-5260-8219"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaoxin Wu","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha, 410083, Hunan, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, 410083, Hunan, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012180181","display_name":"Xiaoqiang Yue","orcid":"https://orcid.org/0000-0003-0097-7017"},"institutions":[{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaoqiang Yue","raw_affiliation_strings":["Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, China"],"affiliations":[{"raw_affiliation_string":"Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, School of Mathematics and Computational Science, Xiangtan University, Xiangtan, 411105, Hunan, China","institution_ids":["https://openalex.org/I4610292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024728239","display_name":"Runxin Ni","orcid":null},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Runxin Ni","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha, 410083, Hunan, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, 410083, Hunan, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5012180181","https://openalex.org/A5024728239","https://openalex.org/A5029772640","https://openalex.org/A5087446284"],"corresponding_institution_ids":["https://openalex.org/I139660479","https://openalex.org/I4610292"],"apc_list":null,"apc_paid":null,"fwci":0.134,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.40763252,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"39","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9979000091552734,"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"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.996999979019165,"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/total-variation-diminishing","display_name":"Total variation diminishing","score":0.8225139379501343},{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.7626164555549622},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6749725341796875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6388434171676636},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.634039580821991},{"id":"https://openalex.org/keywords/third-order","display_name":"Third order","score":0.5316088199615479},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5138164162635803},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.49407199025154114},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4813145399093628},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4441658854484558},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.42387789487838745},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.42145857214927673},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.41463473439216614},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4108770191669464},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.28800907731056213},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.17600560188293457},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14166784286499023},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1244644820690155}],"concepts":[{"id":"https://openalex.org/C152284280","wikidata":"https://www.wikidata.org/wiki/Q7828154","display_name":"Total variation diminishing","level":2,"score":0.8225139379501343},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.7626164555549622},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6749725341796875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6388434171676636},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.634039580821991},{"id":"https://openalex.org/C2777566824","wikidata":"https://www.wikidata.org/wiki/Q1259252","display_name":"Third order","level":2,"score":0.5316088199615479},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5138164162635803},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.49407199025154114},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4813145399093628},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4441658854484558},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.42387789487838745},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.42145857214927673},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.41463473439216614},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4108770191669464},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.28800907731056213},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.17600560188293457},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14166784286499023},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1244644820690155},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","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},{"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},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-020-1063-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-1063-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1743704446","display_name":null,"funder_award_id":"2018CX042","funder_id":"https://openalex.org/F4320335888","funder_display_name":"Innovation-Driven Project of Central South University"},{"id":"https://openalex.org/G6524351626","display_name":null,"funder_award_id":"41474103","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335888","display_name":"Innovation-Driven Project of Central South University","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W20318962","https://openalex.org/W770169230","https://openalex.org/W1632979125","https://openalex.org/W1964816184","https://openalex.org/W1969647398","https://openalex.org/W1974239094","https://openalex.org/W1977560113","https://openalex.org/W1987816244","https://openalex.org/W1996469166","https://openalex.org/W2001560969","https://openalex.org/W2003105027","https://openalex.org/W2003312183","https://openalex.org/W2010909010","https://openalex.org/W2029912024","https://openalex.org/W2035150087","https://openalex.org/W2039233082","https://openalex.org/W2040104213","https://openalex.org/W2042139916","https://openalex.org/W2045384647","https://openalex.org/W2046757116","https://openalex.org/W2050639649","https://openalex.org/W2051861091","https://openalex.org/W2052964794","https://openalex.org/W2060187899","https://openalex.org/W2066075687","https://openalex.org/W2073103099","https://openalex.org/W2073635699","https://openalex.org/W2078215307","https://openalex.org/W2091505322","https://openalex.org/W2109239550","https://openalex.org/W2113758534","https://openalex.org/W2120649394","https://openalex.org/W2124159608","https://openalex.org/W2142644878","https://openalex.org/W2145753800","https://openalex.org/W2152320501","https://openalex.org/W2163264797","https://openalex.org/W2172846583","https://openalex.org/W2228681437","https://openalex.org/W2255491671","https://openalex.org/W2343522366","https://openalex.org/W2480255231","https://openalex.org/W2496082119","https://openalex.org/W2561567925","https://openalex.org/W2565432921","https://openalex.org/W2606175111","https://openalex.org/W2608833521","https://openalex.org/W2748310577","https://openalex.org/W2782132367","https://openalex.org/W2799095527","https://openalex.org/W2803255513","https://openalex.org/W2806908283","https://openalex.org/W2917604905","https://openalex.org/W2945125342","https://openalex.org/W2954466520","https://openalex.org/W2981588264","https://openalex.org/W2986366840","https://openalex.org/W3021722416"],"related_works":["https://openalex.org/W1969647398","https://openalex.org/W2018256357","https://openalex.org/W1859310830","https://openalex.org/W2223041667","https://openalex.org/W3092033056","https://openalex.org/W4297538107","https://openalex.org/W2898754636","https://openalex.org/W2086973468","https://openalex.org/W2050532272","https://openalex.org/W2383508802"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}