{"id":"https://openalex.org/W1965608585","doi":"https://doi.org/10.1155/2013/648595","title":"A High-Accuracy MOC/FD Method for Solving Fractional Advection-Diffusion Equations","display_name":"A High-Accuracy MOC/FD Method for Solving Fractional Advection-Diffusion Equations","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1965608585","doi":"https://doi.org/10.1155/2013/648595","mag":"1965608585"},"language":"en","primary_location":{"id":"doi:10.1155/2013/648595","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/648595","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/648595.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2013/648595.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066601437","display_name":"Lijuan Su","orcid":"https://orcid.org/0000-0002-4753-9340"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lijuan Su","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068315311","display_name":"Pei Cheng","orcid":"https://orcid.org/0000-0002-3615-5624"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pei Cheng","raw_affiliation_strings":["School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China"],"raw_orcid":"https://orcid.org/0000-0002-3615-5624","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066601437"],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.2704,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56514628,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"8"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9976999759674072,"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/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9965999722480774,"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":0.6906371116638184},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6527508497238159},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.622978925704956},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6188672184944153},{"id":"https://openalex.org/keywords/advection","display_name":"Advection","score":0.61641526222229},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5979779362678528},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5969208478927612},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49703529477119446},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.46531298756599426},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.46397098898887634},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.4545549154281616},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.43856704235076904},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40233179926872253},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14074552059173584},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09580805897712708},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06842723488807678},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.05180174112319946}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6906371116638184},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6527508497238159},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.622978925704956},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6188672184944153},{"id":"https://openalex.org/C5072599","wikidata":"https://www.wikidata.org/wiki/Q379788","display_name":"Advection","level":2,"score":0.61641526222229},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5979779362678528},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5969208478927612},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49703529477119446},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.46531298756599426},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.46397098898887634},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.4545549154281616},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.43856704235076904},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40233179926872253},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14074552059173584},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09580805897712708},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06842723488807678},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.05180174112319946},{"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/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/648595","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/648595","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/648595.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394807901","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1394807901","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:648595","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/648595.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:2b27ce56461d42f6a4ee4468a94ba4e4","is_oa":true,"landing_page_url":"https://doaj.org/article/2b27ce56461d42f6a4ee4468a94ba4e4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/648595","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/648595","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/648595.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1814176942","display_name":null,"funder_award_id":"11126179","funder_id":"https://openalex.org/F4320321435","funder_display_name":"Anhui University"},{"id":"https://openalex.org/G2474084750","display_name":null,"funder_award_id":"1308085QA15","funder_id":"https://openalex.org/F4320321435","funder_display_name":"Anhui University"},{"id":"https://openalex.org/G2655431298","display_name":null,"funder_award_id":"11126179","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3107564432","display_name":null,"funder_award_id":"11226247","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G38392996","display_name":null,"funder_award_id":"02303319","funder_id":"https://openalex.org/F4320321435","funder_display_name":"Anhui University"},{"id":"https://openalex.org/G4074887367","display_name":null,"funder_award_id":"11226247","funder_id":"https://openalex.org/F4320321435","funder_display_name":"Anhui University"},{"id":"https://openalex.org/G4611874496","display_name":null,"funder_award_id":"KJTD002B","funder_id":"https://openalex.org/F4320321435","funder_display_name":"Anhui University"},{"id":"https://openalex.org/G6877840885","display_name":null,"funder_award_id":"BS2010HZ012","funder_id":"https://openalex.org/F4320321435","funder_display_name":"Anhui University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321435","display_name":"Anhui University","ror":"https://ror.org/05th6yx34"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1965608585.pdf","grobid_xml":"https://content.openalex.org/works/W1965608585.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1567796010","https://openalex.org/W1980154613","https://openalex.org/W1988571032","https://openalex.org/W1989989318","https://openalex.org/W1991982189","https://openalex.org/W1998561306","https://openalex.org/W2019324632","https://openalex.org/W2021111681","https://openalex.org/W2028110131","https://openalex.org/W2028230944","https://openalex.org/W2045302984","https://openalex.org/W2054557638","https://openalex.org/W2061839347","https://openalex.org/W2064076233","https://openalex.org/W2067855936","https://openalex.org/W2070851600","https://openalex.org/W2088216803","https://openalex.org/W2097268730","https://openalex.org/W2099111135","https://openalex.org/W2104736025","https://openalex.org/W2107162131","https://openalex.org/W2158444052","https://openalex.org/W2164841187","https://openalex.org/W2169016563","https://openalex.org/W2787959293","https://openalex.org/W3035235874"],"related_works":["https://openalex.org/W2330640442","https://openalex.org/W1544816068","https://openalex.org/W1975234065","https://openalex.org/W2392533133","https://openalex.org/W2617981106","https://openalex.org/W4251142058","https://openalex.org/W1965041963","https://openalex.org/W2007426143","https://openalex.org/W3131191061","https://openalex.org/W2920076344"],"abstract_inverted_index":{"Fractional-order":[0],"diffusion":[1,9],"equations":[2],"are":[3,59],"viewed":[4],"as":[5],"generalizations":[6],"of":[7,40,56,70],"classical":[8],"equations,":[10],"treating":[11],"super-diffusive":[12],"flow":[13],"processes.":[14],"In":[15],"this":[16],"paper,":[17],"in":[18],"order":[19],"to":[20,66],"solve":[21],"the":[22,26,38,57,68],"fractional":[23,27,44],"advection-diffusion":[24],"equation,":[25],"characteristic":[28],"finite":[29,45],"difference":[30,46],"method":[31,39,58],"is":[32,35,63],"presented,":[33],"which":[34],"based":[36],"on":[37],"characteristics":[41],"(MOC)":[42],"and":[43,53],"(FD)":[47],"procedures.":[48],"The":[49],"stability,":[50],"consistency,":[51],"convergence,":[52],"error":[54],"estimate":[55],"obtained.":[60],"An":[61],"example":[62],"also":[64],"given":[65],"illustrate":[67],"applicability":[69],"theoretical":[71],"results.":[72]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
