{"id":"https://openalex.org/W4392346488","doi":"https://doi.org/10.1080/00207160.2024.2323985","title":"A fast compact finite difference scheme for the fourth-order diffusion-wave equation","display_name":"A fast compact finite difference scheme for the fourth-order diffusion-wave equation","publication_year":2024,"publication_date":"2024-02-01","ids":{"openalex":"https://openalex.org/W4392346488","doi":"https://doi.org/10.1080/00207160.2024.2323985"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2024.2323985","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2024.2323985","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer 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/A5100612125","display_name":"Wan Wang","orcid":"https://orcid.org/0000-0001-6729-008X"},"institutions":[{"id":"https://openalex.org/I49934816","display_name":"Hunan University of Technology","ror":"https://ror.org/04j3vr751","country_code":"CN","type":"education","lineage":["https://openalex.org/I49934816"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wan Wang","raw_affiliation_strings":["School of Science, Hunan University of Technology, Zhuzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Hunan University of Technology, Zhuzhou, People's Republic of China","institution_ids":["https://openalex.org/I49934816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101670520","display_name":"Haixiang Zhang","orcid":"https://orcid.org/0000-0001-9534-1446"},"institutions":[{"id":"https://openalex.org/I49934816","display_name":"Hunan University of Technology","ror":"https://ror.org/04j3vr751","country_code":"CN","type":"education","lineage":["https://openalex.org/I49934816"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haixiang Zhang","raw_affiliation_strings":["School of Science, Hunan University of Technology, Zhuzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Hunan University of Technology, Zhuzhou, People's Republic of China","institution_ids":["https://openalex.org/I49934816"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036590822","display_name":"Ziyi Zhou","orcid":"https://orcid.org/0000-0002-9775-3839"},"institutions":[{"id":"https://openalex.org/I49934816","display_name":"Hunan University of Technology","ror":"https://ror.org/04j3vr751","country_code":"CN","type":"education","lineage":["https://openalex.org/I49934816"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziyi Zhou","raw_affiliation_strings":["School of Science, Hunan University of Technology, Zhuzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Hunan University of Technology, Zhuzhou, People's Republic of China","institution_ids":["https://openalex.org/I49934816"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070696600","display_name":"Xuehua Yang","orcid":"https://orcid.org/0000-0003-1711-6117"},"institutions":[{"id":"https://openalex.org/I49934816","display_name":"Hunan University of Technology","ror":"https://ror.org/04j3vr751","country_code":"CN","type":"education","lineage":["https://openalex.org/I49934816"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xuehua Yang","raw_affiliation_strings":["School of Science, Hunan University of Technology, Zhuzhou, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Hunan University of Technology, Zhuzhou, People's Republic of China","institution_ids":["https://openalex.org/I49934816"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070696600"],"corresponding_institution_ids":["https://openalex.org/I49934816"],"apc_list":null,"apc_paid":null,"fwci":6.4734,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.97564382,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"101","issue":"2","first_page":"170","last_page":"193"},"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":0.9987999796867371,"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":0.9966999888420105,"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":0.7244777083396912},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.6749168634414673},{"id":"https://openalex.org/keywords/cholesky-decomposition","display_name":"Cholesky decomposition","score":0.6248733401298523},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5750686526298523},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.531563937664032},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46418920159339905},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.44114792346954346},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4350410997867584},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.43049126863479614},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4242258667945862},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4221286475658417},{"id":"https://openalex.org/keywords/finite-difference","display_name":"Finite difference","score":0.4179993271827698},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.41461044549942017},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.11256244778633118},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10237583518028259},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.07734188437461853}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7244777083396912},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6749168634414673},{"id":"https://openalex.org/C34727166","wikidata":"https://www.wikidata.org/wiki/Q515375","display_name":"Cholesky decomposition","level":3,"score":0.6248733401298523},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5750686526298523},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.531563937664032},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46418920159339905},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.44114792346954346},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4350410997867584},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.43049126863479614},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4242258667945862},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4221286475658417},{"id":"https://openalex.org/C181330731","wikidata":"https://www.wikidata.org/wiki/Q2068418","display_name":"Finite difference","level":2,"score":0.4179993271827698},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.41461044549942017},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.11256244778633118},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10237583518028259},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.07734188437461853},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C2780378061","wikidata":"https://www.wikidata.org/wiki/Q25351891","display_name":"Service (business)","level":2,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2024.2323985","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2024.2323985","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8399999737739563,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G8690710800","display_name":null,"funder_award_id":"2022JJ50083","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"}],"funders":[{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W582587363","https://openalex.org/W1579117778","https://openalex.org/W1969312973","https://openalex.org/W1991019635","https://openalex.org/W2029469957","https://openalex.org/W2039324033","https://openalex.org/W2044773998","https://openalex.org/W2054602319","https://openalex.org/W2079468302","https://openalex.org/W2093685032","https://openalex.org/W2094551465","https://openalex.org/W2130620182","https://openalex.org/W2134837756","https://openalex.org/W2151015649","https://openalex.org/W2156367245","https://openalex.org/W2165076033","https://openalex.org/W2519029477","https://openalex.org/W2610201963","https://openalex.org/W2729772172","https://openalex.org/W2777189197","https://openalex.org/W2787959293","https://openalex.org/W2909394840","https://openalex.org/W2912960529","https://openalex.org/W2947286017","https://openalex.org/W2963309992","https://openalex.org/W2987576078","https://openalex.org/W3024512247","https://openalex.org/W3026890537","https://openalex.org/W3088863664","https://openalex.org/W3094012097","https://openalex.org/W3113156718","https://openalex.org/W3125755367","https://openalex.org/W3136695416","https://openalex.org/W3164559554","https://openalex.org/W3197538969","https://openalex.org/W3208492800","https://openalex.org/W3212514041","https://openalex.org/W4220854295","https://openalex.org/W4225929876","https://openalex.org/W4292414935","https://openalex.org/W4296101115","https://openalex.org/W4297514178","https://openalex.org/W4309081921","https://openalex.org/W4375950341","https://openalex.org/W4390052646","https://openalex.org/W4390696597","https://openalex.org/W4390782415","https://openalex.org/W4391233285","https://openalex.org/W4391358059","https://openalex.org/W4391581311","https://openalex.org/W4391655269"],"related_works":["https://openalex.org/W2330640442","https://openalex.org/W1544816068","https://openalex.org/W1975234065","https://openalex.org/W2171402820","https://openalex.org/W4251142058","https://openalex.org/W2392533133","https://openalex.org/W2617981106","https://openalex.org/W1965041963","https://openalex.org/W3131191061","https://openalex.org/W2920076344"],"abstract_inverted_index":{"In":[0,19],"this":[1],"paper,":[2],"the":[3,14,23,34,38,43,47,52,57,63,75,82,85,90,93,105,112],"H2N2":[4],"method":[5,50],"and":[6,51,59,96],"compact":[7],"finite":[8],"difference":[9],"scheme":[10,29],"are":[11],"proposed":[12],"for":[13,84,92],"fourth-order":[15],"time-fractional":[16],"diffusion-wave":[17],"equations.":[18],"order":[20,65,76],"to":[21,36],"improve":[22],"efficiency":[24],"of":[25,77],"calculation,":[26],"a":[27],"fast":[28],"is":[30,66,70,74,81,89,98,109,115],"constructed":[31],"with":[32],"utilizing":[33],"sum-of-exponentials":[35],"approximate":[37],"kernel":[39],"t1\u2212\u03b3.":[40],"Based":[41],"on":[42],"discrete":[44],"energy":[45],"method,":[46,54],"Cholesky":[48],"decomposition":[49],"reduced-order":[53],"we":[55],"prove":[56],"stability":[58],"convergence.":[60],"When":[61],"K1<32,":[62],"convergence":[64],"O(\u03c43\u2212\u03b3+h4+\u03f5),":[67],"where":[68],"K1":[69],"diffusion":[71],"coefficient,":[72],"\u03b3":[73],"fractional":[78],"derivative,":[79],"\u03c4":[80],"parameters":[83,91],"time":[86,114],"meshes,":[87],"h":[88],"space":[94],"meshes":[95],"\u03b5":[97],"tolerance":[99],"error.":[100],"Numerical":[101],"results":[102],"further":[103],"verify":[104],"theoretical":[106],"analysis.":[107],"It":[108],"find":[110],"that":[111],"CPU":[113],"extremely":[116],"little":[117],"in":[118],"our":[119],"scheme.":[120]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":10}],"updated_date":"2026-04-25T08:17:42.794288","created_date":"2025-10-10T00:00:00"}