{"id":"https://openalex.org/W2600790029","doi":"https://doi.org/10.1007/s10915-017-0423-x","title":"Fast Laplace Transform Methods for Free-Boundary Problems of Fractional Diffusion Equations","display_name":"Fast Laplace Transform Methods for Free-Boundary Problems of Fractional Diffusion Equations","publication_year":2017,"publication_date":"2017-03-25","ids":{"openalex":"https://openalex.org/W2600790029","doi":"https://doi.org/10.1007/s10915-017-0423-x","mag":"2600790029"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-017-0423-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-017-0423-x","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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 Scientific 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/A5102892616","display_name":"Zhou Zhi-qiang","orcid":"https://orcid.org/0000-0001-5031-5041"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhiqiang Zhou","raw_affiliation_strings":["School of Economic Mathematics, Southwestern University of Finance and Economics, Wenjiang, Chengdu, 611130, People\u2019s Republic of China","School of Economic Mathematics, Southwestern University of Finance and Economics, Wenjiang, Chengdu, 611130, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Economic Mathematics, Southwestern University of Finance and Economics, Wenjiang, Chengdu, 611130, People\u2019s Republic of China","institution_ids":["https://openalex.org/I204831749"]},{"raw_affiliation_string":"School of Economic Mathematics, Southwestern University of Finance and Economics, Wenjiang, Chengdu, 611130, People's Republic of China","institution_ids":["https://openalex.org/I204831749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004621668","display_name":"Jingtang Ma","orcid":"https://orcid.org/0000-0002-5016-8368"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingtang Ma","raw_affiliation_strings":["School of Economic Mathematics, Southwestern University of Finance and Economics, Wenjiang, Chengdu, 611130, People\u2019s Republic of China","School of Economic Mathematics, Southwestern University of Finance and Economics, Wenjiang, Chengdu, 611130, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Economic Mathematics, Southwestern University of Finance and Economics, Wenjiang, Chengdu, 611130, People\u2019s Republic of China","institution_ids":["https://openalex.org/I204831749"]},{"raw_affiliation_string":"School of Economic Mathematics, Southwestern University of Finance and Economics, Wenjiang, Chengdu, 611130, People's Republic of China","institution_ids":["https://openalex.org/I204831749"]}]},{"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":false,"raw_author_name":"Hai-wei Sun","raw_affiliation_strings":["Department of Mathematics, University of Macau, Taipa, Macau"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Macau, Taipa, Macau","institution_ids":["https://openalex.org/I204512498"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102892616"],"corresponding_institution_ids":["https://openalex.org/I204831749"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.1114,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.76095476,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"74","issue":"1","first_page":"49","last_page":"69"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998000264167786,"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":0.9998000264167786,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9973000288009644,"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":0.8304130434989929},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.8262695074081421},{"id":"https://openalex.org/keywords/laplace-transform-applied-to-differential-equations","display_name":"Laplace transform applied to differential equations","score":0.673412561416626},{"id":"https://openalex.org/keywords/laplace\u2013stieltjes-transform","display_name":"Laplace\u2013Stieltjes transform","score":0.6499983072280884},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6469182372093201},{"id":"https://openalex.org/keywords/two-sided-laplace-transform","display_name":"Two-sided Laplace transform","score":0.6373817920684814},{"id":"https://openalex.org/keywords/inverse-laplace-transform","display_name":"Inverse Laplace transform","score":0.6339707374572754},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5825956463813782},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.47344040870666504},{"id":"https://openalex.org/keywords/free-boundary-problem","display_name":"Free boundary problem","score":0.4608146548271179},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.45642492175102234},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4472157955169678},{"id":"https://openalex.org/keywords/mellin-transform","display_name":"Mellin transform","score":0.4403691291809082},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4158933162689209},{"id":"https://openalex.org/keywords/fractional-fourier-transform","display_name":"Fractional Fourier transform","score":0.24892732501029968},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.2005772590637207},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.07055100798606873}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8304130434989929},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.8262695074081421},{"id":"https://openalex.org/C194330524","wikidata":"https://www.wikidata.org/wiki/Q2858841","display_name":"Laplace transform applied to differential equations","level":3,"score":0.673412561416626},{"id":"https://openalex.org/C141255357","wikidata":"https://www.wikidata.org/wiki/Q3997728","display_name":"Laplace\u2013Stieltjes transform","level":5,"score":0.6499983072280884},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6469182372093201},{"id":"https://openalex.org/C10288518","wikidata":"https://www.wikidata.org/wiki/Q1785576","display_name":"Two-sided Laplace transform","level":5,"score":0.6373817920684814},{"id":"https://openalex.org/C60455284","wikidata":"https://www.wikidata.org/wiki/Q2162701","display_name":"Inverse Laplace transform","level":3,"score":0.6339707374572754},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5825956463813782},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.47344040870666504},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"score":0.4608146548271179},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45642492175102234},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4472157955169678},{"id":"https://openalex.org/C199874217","wikidata":"https://www.wikidata.org/wiki/Q606934","display_name":"Mellin transform","level":3,"score":0.4403691291809082},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4158933162689209},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.24892732501029968},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.2005772590637207},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.07055100798606873}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10915-017-0423-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-017-0423-x","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"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 Scientific Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7719738676","display_name":null,"funder_award_id":"11671323","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W165324816","https://openalex.org/W168213108","https://openalex.org/W279288672","https://openalex.org/W648869842","https://openalex.org/W1488435683","https://openalex.org/W1764592981","https://openalex.org/W1965557233","https://openalex.org/W1976875762","https://openalex.org/W1982202311","https://openalex.org/W1983001687","https://openalex.org/W1994338028","https://openalex.org/W2003451508","https://openalex.org/W2008772885","https://openalex.org/W2023970747","https://openalex.org/W2027039674","https://openalex.org/W2038749294","https://openalex.org/W2047522104","https://openalex.org/W2054899953","https://openalex.org/W2056257481","https://openalex.org/W2057342974","https://openalex.org/W2065539768","https://openalex.org/W2068392203","https://openalex.org/W2073348302","https://openalex.org/W2077752008","https://openalex.org/W2085569543","https://openalex.org/W2086783890","https://openalex.org/W2107162131","https://openalex.org/W2123426570","https://openalex.org/W2130994331","https://openalex.org/W2135094424","https://openalex.org/W2151657302","https://openalex.org/W2159517176","https://openalex.org/W2161600192","https://openalex.org/W2163191644","https://openalex.org/W2744463887","https://openalex.org/W2787959293","https://openalex.org/W3124397939","https://openalex.org/W3124480685","https://openalex.org/W3124505453","https://openalex.org/W4255989838"],"related_works":["https://openalex.org/W193874820","https://openalex.org/W3022275705","https://openalex.org/W4239388564","https://openalex.org/W2504967562","https://openalex.org/W4283576291","https://openalex.org/W3126199408","https://openalex.org/W2997260785","https://openalex.org/W4389482554","https://openalex.org/W2479299069","https://openalex.org/W4389827431"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}