{"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":"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/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, 71516, Egypt","Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah, Qassim, Saudi Arabia","Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Qassim, Saudi Arabia","Department of Mathematics, Assiut University, Assiut, Egypt"],"raw_orcid":"https://orcid.org/0000-0003-3332-7950","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Assiut University, Assiut, 71516, Egypt","institution_ids":["https://openalex.org/I91041137"]},{"raw_affiliation_string":"Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah, Qassim, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]},{"raw_affiliation_string":"Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Qassim, Saudi Arabia","institution_ids":["https://openalex.org/I156216236"]},{"raw_affiliation_string":"Department of Mathematics, Assiut University, Assiut, Egypt","institution_ids":["https://openalex.org/I91041137"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5065974438"],"corresponding_institution_ids":["https://openalex.org/I156216236","https://openalex.org/I91041137"],"apc_list":null,"apc_paid":null,"fwci":1.9214,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.83410929,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"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":"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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","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":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
