{"id":"https://openalex.org/W4286586956","doi":"https://doi.org/10.1007/s40314-022-01954-8","title":"Stability analysis and error estimates of implicit\u2013explicit Runge\u2013Kutta local discontinuous Galerkin methods for nonlinear fractional convection\u2013diffusion problems","display_name":"Stability analysis and error estimates of implicit\u2013explicit Runge\u2013Kutta local discontinuous Galerkin methods for nonlinear fractional convection\u2013diffusion problems","publication_year":2022,"publication_date":"2022-07-22","ids":{"openalex":"https://openalex.org/W4286586956","doi":"https://doi.org/10.1007/s40314-022-01954-8"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-022-01954-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-01954-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","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/A5065974438","display_name":"Tarek Aboelenen","orcid":"https://orcid.org/0000-0003-3332-7950"},"institutions":[{"id":"https://openalex.org/I156216236","display_name":"Qassim University","ror":"https://ror.org/01wsfe280","country_code":"SA","type":"education","lineage":["https://openalex.org/I156216236"]},{"id":"https://openalex.org/I91041137","display_name":"Assiut University","ror":"https://ror.org/01jaj8n65","country_code":"EG","type":"education","lineage":["https://openalex.org/I91041137"]}],"countries":["EG","SA"],"is_corresponding":true,"raw_author_name":"Tarek Aboelenen","raw_affiliation_strings":["Department of Mathematics, Assiut University, Assiut, Egypt","Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Qassim, Saudi Arabia"],"raw_orcid":"https://orcid.org/0000-0003-3332-7950","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Assiut University, Assiut, Egypt","institution_ids":["https://openalex.org/I91041137"]},{"raw_affiliation_string":"Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Qassim, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065974438"],"corresponding_institution_ids":["https://openalex.org/I156216236","https://openalex.org/I91041137"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":1.759,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.81722805,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"41","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9998000264167786,"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":0.9997000098228455,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9995999932289124,"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/discretization","display_name":"Discretization","score":0.7826167345046997},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7375327348709106},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.6354678869247437},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.6027566194534302},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5660913586616516},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.515338122844696},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.48243317008018494},{"id":"https://openalex.org/keywords/temporal-discretization","display_name":"Temporal discretization","score":0.475988507270813},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4758034646511078},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4532334804534912},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4365561306476593},{"id":"https://openalex.org/keywords/convection\u2013diffusion-equation","display_name":"Convection\u2013diffusion equation","score":0.4267578125},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4143734276294708},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.33021044731140137},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14273130893707275},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.10608303546905518},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06133529543876648}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.7826167345046997},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7375327348709106},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.6354678869247437},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.6027566194534302},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5660913586616516},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.515338122844696},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.48243317008018494},{"id":"https://openalex.org/C2778327290","wikidata":"https://www.wikidata.org/wiki/Q17146496","display_name":"Temporal discretization","level":3,"score":0.475988507270813},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4758034646511078},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4532334804534912},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4365561306476593},{"id":"https://openalex.org/C17456955","wikidata":"https://www.wikidata.org/wiki/Q343279","display_name":"Convection\u2013diffusion equation","level":2,"score":0.4267578125},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4143734276294708},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.33021044731140137},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14273130893707275},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.10608303546905518},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06133529543876648},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-022-01954-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-022-01954-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","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":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8299999833106995}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W146701665","https://openalex.org/W1583515859","https://openalex.org/W1965964966","https://openalex.org/W1966513244","https://openalex.org/W1989692168","https://openalex.org/W1992715714","https://openalex.org/W2000917522","https://openalex.org/W2009063484","https://openalex.org/W2010094764","https://openalex.org/W2011854838","https://openalex.org/W2012938047","https://openalex.org/W2020930183","https://openalex.org/W2028944381","https://openalex.org/W2030146312","https://openalex.org/W2031773299","https://openalex.org/W2037081832","https://openalex.org/W2041202720","https://openalex.org/W2054420328","https://openalex.org/W2055241441","https://openalex.org/W2064910404","https://openalex.org/W2065188344","https://openalex.org/W2066783603","https://openalex.org/W2075042186","https://openalex.org/W2081871678","https://openalex.org/W2093225350","https://openalex.org/W2104736025","https://openalex.org/W2118288723","https://openalex.org/W2124303144","https://openalex.org/W2130350269","https://openalex.org/W2139559416","https://openalex.org/W2142278738","https://openalex.org/W2144367930","https://openalex.org/W2165076033","https://openalex.org/W2328902166","https://openalex.org/W2587910337","https://openalex.org/W2607305877","https://openalex.org/W2732661672","https://openalex.org/W2963596250","https://openalex.org/W2964340654","https://openalex.org/W3009011096","https://openalex.org/W4205634890","https://openalex.org/W4214751139","https://openalex.org/W4248626225","https://openalex.org/W6600756316"],"related_works":["https://openalex.org/W1964985536","https://openalex.org/W2354715440","https://openalex.org/W2808682125","https://openalex.org/W2023166590","https://openalex.org/W2900949317","https://openalex.org/W2101536230","https://openalex.org/W3004639085","https://openalex.org/W2127031753","https://openalex.org/W1989741938","https://openalex.org/W2324487000"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
