{"id":"https://openalex.org/W1971417052","doi":"https://doi.org/10.1007/s11075-012-9547-0","title":"A finite difference method for an anomalous sub-diffusion equation, theory and applications","display_name":"A finite difference method for an anomalous sub-diffusion equation, theory and applications","publication_year":2012,"publication_date":"2012-02-09","ids":{"openalex":"https://openalex.org/W1971417052","doi":"https://doi.org/10.1007/s11075-012-9547-0","mag":"1971417052"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-012-9547-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9547-0","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5080898726","display_name":"Kassem Mustapha","orcid":"https://orcid.org/0009-0005-2916-9429"},"institutions":[{"id":"https://openalex.org/I134085113","display_name":"King Fahd University of Petroleum and Minerals","ror":"https://ror.org/03yez3163","country_code":"SA","type":"education","lineage":["https://openalex.org/I134085113"]}],"countries":["SA"],"is_corresponding":true,"raw_author_name":"Kassem Mustapha","raw_affiliation_strings":["Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Kingdom of Saudi Arabia","King Fahd University of Petroleum and Minerals,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Kingdom of Saudi Arabia","institution_ids":["https://openalex.org/I134085113"]},{"raw_affiliation_string":"King Fahd University of Petroleum and Minerals,","institution_ids":["https://openalex.org/I134085113"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111926478","display_name":"Jaafar AlMutawa","orcid":"https://orcid.org/0000-0002-9806-7099"},"institutions":[{"id":"https://openalex.org/I134085113","display_name":"King Fahd University of Petroleum and Minerals","ror":"https://ror.org/03yez3163","country_code":"SA","type":"education","lineage":["https://openalex.org/I134085113"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Jaafar AlMutawa","raw_affiliation_strings":["Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Kingdom of Saudi Arabia","King Fahd University of Petroleum and Minerals,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Kingdom of Saudi Arabia","institution_ids":["https://openalex.org/I134085113"]},{"raw_affiliation_string":"King Fahd University of Petroleum and Minerals,","institution_ids":["https://openalex.org/I134085113"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080898726"],"corresponding_institution_ids":["https://openalex.org/I134085113"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.8788,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.89516649,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"61","issue":"4","first_page":"525","last_page":"543"},"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":0.9984999895095825,"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/T10514","display_name":"Numerical methods in engineering","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8813930153846741},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.8463424444198608},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6858853697776794},{"id":"https://openalex.org/keywords/crank\u2013nicolson-method","display_name":"Crank\u2013Nicolson method","score":0.6513411998748779},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.5362903475761414},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.5252732038497925},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.503222644329071},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.5027315616607666},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4848228991031647},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.4689685106277466},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4340669810771942},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.4291263222694397},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.41120946407318115},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40637508034706116},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08757662773132324},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06894880533218384}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8813930153846741},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8463424444198608},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6858853697776794},{"id":"https://openalex.org/C180931078","wikidata":"https://www.wikidata.org/wiki/Q588725","display_name":"Crank\u2013Nicolson method","level":3,"score":0.6513411998748779},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.5362903475761414},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.5252732038497925},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.503222644329071},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.5027315616607666},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4848228991031647},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.4689685106277466},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4340669810771942},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.4291263222694397},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.41120946407318115},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40637508034706116},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08757662773132324},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06894880533218384},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-012-9547-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-012-9547-0","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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":30,"referenced_works":["https://openalex.org/W1965557233","https://openalex.org/W1973950856","https://openalex.org/W1977696410","https://openalex.org/W1978354679","https://openalex.org/W1980154613","https://openalex.org/W2001031344","https://openalex.org/W2009239825","https://openalex.org/W2012163408","https://openalex.org/W2024990358","https://openalex.org/W2026110563","https://openalex.org/W2028586620","https://openalex.org/W2033471049","https://openalex.org/W2047522104","https://openalex.org/W2047808645","https://openalex.org/W2047857096","https://openalex.org/W2056829543","https://openalex.org/W2057769307","https://openalex.org/W2067855936","https://openalex.org/W2070505112","https://openalex.org/W2073659542","https://openalex.org/W2092718516","https://openalex.org/W2092942665","https://openalex.org/W2111271983","https://openalex.org/W2125227367","https://openalex.org/W2125366357","https://openalex.org/W2139559416","https://openalex.org/W2164946476","https://openalex.org/W2328902166","https://openalex.org/W2490605950","https://openalex.org/W3102939129"],"related_works":["https://openalex.org/W2330640442","https://openalex.org/W1544816068","https://openalex.org/W1975234065","https://openalex.org/W4389300100","https://openalex.org/W4251142058","https://openalex.org/W2564986544","https://openalex.org/W4248475299","https://openalex.org/W3131191061","https://openalex.org/W2920076344","https://openalex.org/W2090762282"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
