{"id":"https://openalex.org/W3163544747","doi":"https://doi.org/10.3233/jifs-219001","title":"A simple and high accurate finite volume scheme for diffusion equations","display_name":"A simple and high accurate finite volume scheme for diffusion equations","publication_year":2021,"publication_date":"2021-05-14","ids":{"openalex":"https://openalex.org/W3163544747","doi":"https://doi.org/10.3233/jifs-219001","mag":"3163544747"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-219001","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-219001","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","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/A5016328801","display_name":"Zhucui Jing","orcid":"https://orcid.org/0000-0002-2582-2583"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhucui Jing","raw_affiliation_strings":["School of Economics and Management, Beijing Jiaotong University, Beijing, P. R. China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Beijing Jiaotong University, Beijing, P. R. China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011839583","display_name":"Shuhong Song","orcid":null},"institutions":[{"id":"https://openalex.org/I4210145278","display_name":"Institute of Applied Physics and Computational Mathematics","ror":"https://ror.org/03sxpbt26","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210145278"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shuhong Song","raw_affiliation_strings":["Institute of Applied Physics and Computational Mathematics, Beijing, P. R. China"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Physics and Computational Mathematics, Beijing, P. R. China","institution_ids":["https://openalex.org/I4210145278"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011839583"],"corresponding_institution_ids":["https://openalex.org/I4210145278"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06766045,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"4","first_page":"5167","last_page":"5172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9987000226974487,"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/vertex","display_name":"Vertex (graph theory)","score":0.7495590448379517},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6961290240287781},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6562973856925964},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.652562141418457},{"id":"https://openalex.org/keywords/finite-volume-method","display_name":"Finite volume method","score":0.5905017852783203},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.5435194969177246},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5332548022270203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5046113729476929},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.47804075479507446},{"id":"https://openalex.org/keywords/simple-algorithm","display_name":"SIMPLE algorithm","score":0.4469958543777466},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.426433801651001},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35901886224746704},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32258978486061096},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3020302951335907},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1453719437122345},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10493439435958862},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.08512401580810547},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.050846368074417114}],"concepts":[{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7495590448379517},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6961290240287781},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6562973856925964},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.652562141418457},{"id":"https://openalex.org/C50478463","wikidata":"https://www.wikidata.org/wiki/Q1401936","display_name":"Finite volume method","level":2,"score":0.5905017852783203},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.5435194969177246},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5332548022270203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5046113729476929},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.47804075479507446},{"id":"https://openalex.org/C97542219","wikidata":"https://www.wikidata.org/wiki/Q497863","display_name":"SIMPLE algorithm","level":2,"score":0.4469958543777466},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.426433801651001},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35901886224746704},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32258978486061096},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3020302951335907},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1453719437122345},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10493439435958862},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.08512401580810547},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.050846368074417114},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"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/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","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/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-219001","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-219001","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1530030810","https://openalex.org/W2004302354","https://openalex.org/W2015745797","https://openalex.org/W2052816628","https://openalex.org/W2076014276","https://openalex.org/W2078842791","https://openalex.org/W2082632020","https://openalex.org/W2092358076"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2028455732","https://openalex.org/W2075574617","https://openalex.org/W2128904762","https://openalex.org/W2034255721","https://openalex.org/W2009065490","https://openalex.org/W1975537024","https://openalex.org/W1984205861","https://openalex.org/W1983027487"],"abstract_inverted_index":{"Most":[0],"of":[1],"numerical":[2],"methods":[3],"for":[4,37,50,64],"diffusion":[5,51,65,69],"equations,":[6],"refer":[7],"to":[8,23,46],"vertex":[9,24,39],"unknowns":[10,40],"directly":[11],"or":[12],"indirectly,":[13],"and":[14,33,43],"their":[15],"accuracy":[16],"is":[17,41,44,61],"ultimately":[18],"determined":[19],"by":[20],"the":[21,28,38,47,57],"approximation":[22],"unknowns.":[25],"Based":[26],"on":[27,71],"\u201ctwin-fitting\u201d":[29],"method,":[30],"a":[31],"simple":[32],"high":[34,62],"accurate":[35,63],"treatment":[36],"developed":[42],"applied":[45],"nine-point":[48,59],"scheme":[49,60],"problem.":[52],"Numerical":[53],"experiments":[54],"show":[55],"that":[56],"resulting":[58],"problems":[66],"with":[67],"discontinuous":[68],"coefficients":[70],"distorted":[72],"meshes.":[73]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
