{"id":"https://openalex.org/W4296963108","doi":"https://doi.org/10.1007/s40314-022-02018-7","title":"An approximate solution for stochastic Burgers\u2019 equation driven by white noise","display_name":"An approximate solution for stochastic Burgers\u2019 equation driven by white noise","publication_year":2022,"publication_date":"2022-09-21","ids":{"openalex":"https://openalex.org/W4296963108","doi":"https://doi.org/10.1007/s40314-022-02018-7"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-022-02018-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-02018-7","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/A5062918327","display_name":"D. Uma","orcid":null},"institutions":[{"id":"https://openalex.org/I932239252","display_name":"SASTRA University","ror":"https://ror.org/032jk8892","country_code":"IN","type":"education","lineage":["https://openalex.org/I932239252"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"D. Uma","raw_affiliation_strings":["Department of Mathematics, School of Arts, Sciences and Humanities, SASTRA Deemed University, Tirumalaisamudram, Thanjavur, Tamil Nadu, 613401, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Arts, Sciences and Humanities, SASTRA Deemed University, Tirumalaisamudram, Thanjavur, Tamil Nadu, 613401, India","institution_ids":["https://openalex.org/I932239252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086230069","display_name":"Hossein Jafari","orcid":"https://orcid.org/0000-0001-6807-6675"},"institutions":[{"id":"https://openalex.org/I184693016","display_name":"China Medical University","ror":"https://ror.org/00v408z34","country_code":"TW","type":"education","lineage":["https://openalex.org/I184693016"]},{"id":"https://openalex.org/I165390105","display_name":"University of South Africa","ror":"https://ror.org/048cwvf49","country_code":"ZA","type":"education","lineage":["https://openalex.org/I165390105"]},{"id":"https://openalex.org/I4210126829","display_name":"China Medical University Hospital","ror":"https://ror.org/0368s4g32","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I4210126829"]}],"countries":["TW","ZA"],"is_corresponding":false,"raw_author_name":"H. Jafari","raw_affiliation_strings":["Department of Mathematical Sciences, University of South Africa, UNISA0003, Pretoria, South Africa","Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 110122, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of South Africa, UNISA0003, Pretoria, South Africa","institution_ids":["https://openalex.org/I165390105"]},{"raw_affiliation_string":"Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 110122, Taiwan","institution_ids":["https://openalex.org/I184693016","https://openalex.org/I4210126829"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102931104","display_name":"S. Raja Balachandar","orcid":null},"institutions":[{"id":"https://openalex.org/I932239252","display_name":"SASTRA University","ror":"https://ror.org/032jk8892","country_code":"IN","type":"education","lineage":["https://openalex.org/I932239252"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Raja Balachandar","raw_affiliation_strings":["Department of Mathematics, School of Arts, Sciences and Humanities, SASTRA Deemed University, Tirumalaisamudram, Thanjavur, Tamil Nadu, 613401, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Arts, Sciences and Humanities, SASTRA Deemed University, Tirumalaisamudram, Thanjavur, Tamil Nadu, 613401, India","institution_ids":["https://openalex.org/I932239252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016236182","display_name":"S. Venkatesh","orcid":null},"institutions":[{"id":"https://openalex.org/I932239252","display_name":"SASTRA University","ror":"https://ror.org/032jk8892","country_code":"IN","type":"education","lineage":["https://openalex.org/I932239252"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. G. Venkatesh","raw_affiliation_strings":["Department of Mathematics, School of Arts, Sciences and Humanities, SASTRA Deemed University, Tirumalaisamudram, Thanjavur, Tamil Nadu, 613401, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Arts, Sciences and Humanities, SASTRA Deemed University, Tirumalaisamudram, Thanjavur, Tamil Nadu, 613401, India","institution_ids":["https://openalex.org/I932239252"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5062918327"],"corresponding_institution_ids":["https://openalex.org/I932239252"],"apc_list":null,"apc_paid":null,"fwci":0.9316,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.78790117,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"41","issue":"7","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9911999702453613,"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/T11371","display_name":"Wind and Air Flow Studies","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.632841169834137},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.6094258427619934},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5969598293304443},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5947868824005127},{"id":"https://openalex.org/keywords/burgers-equation","display_name":"Burgers' equation","score":0.5537991523742676},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.4837815463542938},{"id":"https://openalex.org/keywords/white-noise","display_name":"White noise","score":0.45308107137680054},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.44782108068466187},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.4455288350582123},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.4101657271385193},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32875269651412964},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32812565565109253},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.188003808259964},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.1707707941532135}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.632841169834137},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.6094258427619934},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5969598293304443},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5947868824005127},{"id":"https://openalex.org/C129747778","wikidata":"https://www.wikidata.org/wiki/Q1014918","display_name":"Burgers' equation","level":3,"score":0.5537991523742676},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4837815463542938},{"id":"https://openalex.org/C112633086","wikidata":"https://www.wikidata.org/wiki/Q381287","display_name":"White noise","level":2,"score":0.45308107137680054},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.44782108068466187},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4455288350582123},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.4101657271385193},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32875269651412964},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32812565565109253},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.188003808259964},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.1707707941532135},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-022-02018-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-02018-7","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1057021034","https://openalex.org/W1494628843","https://openalex.org/W1503185336","https://openalex.org/W1752613661","https://openalex.org/W1969554802","https://openalex.org/W1975102272","https://openalex.org/W1983156129","https://openalex.org/W1983187536","https://openalex.org/W1988169074","https://openalex.org/W1990592929","https://openalex.org/W2004531333","https://openalex.org/W2010606365","https://openalex.org/W2026981791","https://openalex.org/W2048206759","https://openalex.org/W2048550169","https://openalex.org/W2048861953","https://openalex.org/W2052520179","https://openalex.org/W2065037675","https://openalex.org/W2070909149","https://openalex.org/W2071126994","https://openalex.org/W2081166542","https://openalex.org/W2083845086","https://openalex.org/W2091596262","https://openalex.org/W2162779372","https://openalex.org/W2546505240","https://openalex.org/W2587916644","https://openalex.org/W2962858197","https://openalex.org/W2963152161","https://openalex.org/W3104094966","https://openalex.org/W4229928878","https://openalex.org/W4241700534","https://openalex.org/W4248145103"],"related_works":["https://openalex.org/W2288349649","https://openalex.org/W2789913125","https://openalex.org/W2089945891","https://openalex.org/W2060037065","https://openalex.org/W2323274059","https://openalex.org/W2141747002","https://openalex.org/W3012460121","https://openalex.org/W39027593","https://openalex.org/W2019450558","https://openalex.org/W1550587116"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
