{"id":"https://openalex.org/W2977608296","doi":"https://doi.org/10.1007/s12190-019-01291-w","title":"Numerical solution for multi-dimensional Riesz fractional nonlinear reaction\u2013diffusion equation by exponential Runge\u2013Kutta method","display_name":"Numerical solution for multi-dimensional Riesz fractional nonlinear reaction\u2013diffusion equation by exponential Runge\u2013Kutta method","publication_year":2019,"publication_date":"2019-10-03","ids":{"openalex":"https://openalex.org/W2977608296","doi":"https://doi.org/10.1007/s12190-019-01291-w","mag":"2977608296"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-019-01291-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-019-01291-w","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and Computing","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/A5100388564","display_name":"Lu Zhang","orcid":"https://orcid.org/0000-0001-6829-703X"},"institutions":[{"id":"https://openalex.org/I124841900","display_name":"Xuzhou University of Technology","ror":"https://ror.org/02315by94","country_code":"CN","type":"education","lineage":["https://openalex.org/I124841900"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lu Zhang","raw_affiliation_strings":["School of Mathematics and Physical Sciences Technology, Xuzhou University of Technology, Xuzhou, 221018, Jiangsu, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Physical Sciences Technology, Xuzhou University of Technology, Xuzhou, 221018, Jiangsu, People\u2019s Republic of China","institution_ids":["https://openalex.org/I124841900"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101501154","display_name":"Hai\u2010Wei Sun","orcid":"https://orcid.org/0000-0002-5507-6083"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":true,"raw_author_name":"Hai-Wei Sun","raw_affiliation_strings":["Department of Mathematics, University of Macau, Macao, People\u2019s Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-5507-6083","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Macau, Macao, People\u2019s Republic of China","institution_ids":["https://openalex.org/I204512498"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101501154"],"corresponding_institution_ids":["https://openalex.org/I204512498"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.679,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.68691373,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"62","issue":"1-2","first_page":"449","last_page":"472"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"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":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9990000128746033,"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/mathematics","display_name":"Mathematics","score":0.8751793503761292},{"id":"https://openalex.org/keywords/toeplitz-matrix","display_name":"Toeplitz matrix","score":0.7234007120132446},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5870206952095032},{"id":"https://openalex.org/keywords/lanczos-resampling","display_name":"Lanczos resampling","score":0.5539165139198303},{"id":"https://openalex.org/keywords/matrix-exponential","display_name":"Matrix exponential","score":0.5316978693008423},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.49878382682800293},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.4585423767566681},{"id":"https://openalex.org/keywords/runge\u2013kutta-methods","display_name":"Runge\u2013Kutta methods","score":0.4392321705818176},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.4335457980632782},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.41343435645103455},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3810173571109772},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3784889280796051},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.08927777409553528},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07175934314727783}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8751793503761292},{"id":"https://openalex.org/C147710293","wikidata":"https://www.wikidata.org/wiki/Q849428","display_name":"Toeplitz matrix","level":2,"score":0.7234007120132446},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5870206952095032},{"id":"https://openalex.org/C119256216","wikidata":"https://www.wikidata.org/wiki/Q913012","display_name":"Lanczos resampling","level":3,"score":0.5539165139198303},{"id":"https://openalex.org/C195906000","wikidata":"https://www.wikidata.org/wiki/Q1191722","display_name":"Matrix exponential","level":3,"score":0.5316978693008423},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.49878382682800293},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.4585423767566681},{"id":"https://openalex.org/C181582579","wikidata":"https://www.wikidata.org/wiki/Q725944","display_name":"Runge\u2013Kutta methods","level":3,"score":0.4392321705818176},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.4335457980632782},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.41343435645103455},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3810173571109772},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3784889280796051},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.08927777409553528},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07175934314727783},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-019-01291-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-019-01291-w","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and Computing","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":61,"referenced_works":["https://openalex.org/W605044866","https://openalex.org/W642707038","https://openalex.org/W648869842","https://openalex.org/W1483804921","https://openalex.org/W1488435683","https://openalex.org/W1504797307","https://openalex.org/W1506342804","https://openalex.org/W1584611818","https://openalex.org/W1917504514","https://openalex.org/W1970532716","https://openalex.org/W1986544454","https://openalex.org/W1996761814","https://openalex.org/W1999695483","https://openalex.org/W2001031344","https://openalex.org/W2001203502","https://openalex.org/W2003451508","https://openalex.org/W2005041367","https://openalex.org/W2007098018","https://openalex.org/W2014666630","https://openalex.org/W2014845799","https://openalex.org/W2021735811","https://openalex.org/W2027319740","https://openalex.org/W2030146312","https://openalex.org/W2043080303","https://openalex.org/W2045504118","https://openalex.org/W2049165066","https://openalex.org/W2055148154","https://openalex.org/W2055846437","https://openalex.org/W2056427269","https://openalex.org/W2064123187","https://openalex.org/W2075247318","https://openalex.org/W2092112892","https://openalex.org/W2092718516","https://openalex.org/W2104736025","https://openalex.org/W2111271983","https://openalex.org/W2115176036","https://openalex.org/W2118160506","https://openalex.org/W2138044358","https://openalex.org/W2140057174","https://openalex.org/W2140620666","https://openalex.org/W2142758723","https://openalex.org/W2142895119","https://openalex.org/W2170885741","https://openalex.org/W2214443391","https://openalex.org/W2294942887","https://openalex.org/W2325660078","https://openalex.org/W2331253163","https://openalex.org/W2521794254","https://openalex.org/W2546809850","https://openalex.org/W2740782266","https://openalex.org/W2787959293","https://openalex.org/W2793191661","https://openalex.org/W2890666733","https://openalex.org/W2899982045","https://openalex.org/W2921022304","https://openalex.org/W2965769400","https://openalex.org/W2988078269","https://openalex.org/W3103136962","https://openalex.org/W4211077197","https://openalex.org/W4248641565","https://openalex.org/W4250515647"],"related_works":["https://openalex.org/W2389462125","https://openalex.org/W2091997962","https://openalex.org/W151496359","https://openalex.org/W4220662591","https://openalex.org/W856465872","https://openalex.org/W1969863203","https://openalex.org/W1987843132","https://openalex.org/W1480644286","https://openalex.org/W2357291060","https://openalex.org/W2359223678"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}