{"id":"https://openalex.org/W2803255513","doi":"https://doi.org/10.1080/00207160.2018.1478415","title":"A CCD-ADI method for two-dimensional linear and nonlinear hyperbolic telegraph equations with variable coefficients","display_name":"A CCD-ADI method for two-dimensional linear and nonlinear hyperbolic telegraph equations with variable coefficients","publication_year":2018,"publication_date":"2018-05-22","ids":{"openalex":"https://openalex.org/W2803255513","doi":"https://doi.org/10.1080/00207160.2018.1478415","mag":"2803255513"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2018.1478415","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2018.1478415","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/A5071752257","display_name":"Buyun Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Buyun Chen","raw_affiliation_strings":["School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006489581","display_name":"Dongdong He","orcid":"https://orcid.org/0000-0002-5786-581X"},"institutions":[{"id":"https://openalex.org/I4210116924","display_name":"Chinese University of Hong Kong, Shenzhen","ror":"https://ror.org/02d5ks197","country_code":"CN","type":"education","lineage":["https://openalex.org/I177725633","https://openalex.org/I180726961","https://openalex.org/I4210116924"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dongdong He","raw_affiliation_strings":["School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, China","institution_ids":["https://openalex.org/I4210116924"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029772640","display_name":"Kejia Pan","orcid":"https://orcid.org/0000-0001-5768-7972"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kejia Pan","raw_affiliation_strings":["School of Mathematics and Statistics, Central South University, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5006489581"],"corresponding_institution_ids":["https://openalex.org/I4210116924"],"apc_list":null,"apc_paid":null,"fwci":1.8247,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.83447468,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"96","issue":"5","first_page":"992","last_page":"1004"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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":0.8219243288040161},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.6515153050422668},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6431230902671814},{"id":"https://openalex.org/keywords/telegraphers-equations","display_name":"Telegrapher's equations","score":0.6125127077102661},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5714632272720337},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4448172450065613},{"id":"https://openalex.org/keywords/variable-coefficient","display_name":"Variable coefficient","score":0.44360747933387756},{"id":"https://openalex.org/keywords/hyperbolic-function","display_name":"Hyperbolic function","score":0.4434420168399811},{"id":"https://openalex.org/keywords/hyperbolic-partial-differential-equation","display_name":"Hyperbolic partial differential equation","score":0.4369141161441803},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.22959205508232117},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07913637161254883}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8219243288040161},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6515153050422668},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6431230902671814},{"id":"https://openalex.org/C124566792","wikidata":"https://www.wikidata.org/wiki/Q1156880","display_name":"Telegrapher's equations","level":3,"score":0.6125127077102661},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5714632272720337},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4448172450065613},{"id":"https://openalex.org/C3018795394","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Variable coefficient","level":2,"score":0.44360747933387756},{"id":"https://openalex.org/C92047909","wikidata":"https://www.wikidata.org/wiki/Q204034","display_name":"Hyperbolic function","level":2,"score":0.4434420168399811},{"id":"https://openalex.org/C111615704","wikidata":"https://www.wikidata.org/wiki/Q2627459","display_name":"Hyperbolic partial differential equation","level":3,"score":0.4369141161441803},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.22959205508232117},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07913637161254883},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C140311924","wikidata":"https://www.wikidata.org/wiki/Q200928","display_name":"Electric power transmission","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2018.1478415","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2018.1478415","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":[],"awards":[{"id":"https://openalex.org/G1058404467","display_name":null,"funder_award_id":"11402174","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6524351626","display_name":null,"funder_award_id":"41474103","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G883501654","display_name":null,"funder_award_id":"2018CX042","funder_id":"https://openalex.org/F4320321514","funder_display_name":"Central South University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321514","display_name":"Central South University","ror":"https://ror.org/00f1zfq44"},{"id":"https://openalex.org/F4320322942","display_name":"Chinese University of Hong Kong","ror":"https://ror.org/00t33hh48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W770169230","https://openalex.org/W1562794883","https://openalex.org/W1966288707","https://openalex.org/W1974295047","https://openalex.org/W1983913766","https://openalex.org/W1987816244","https://openalex.org/W1988703535","https://openalex.org/W2001560969","https://openalex.org/W2004613623","https://openalex.org/W2006719818","https://openalex.org/W2007052736","https://openalex.org/W2013243433","https://openalex.org/W2019761918","https://openalex.org/W2039233082","https://openalex.org/W2044062963","https://openalex.org/W2044070378","https://openalex.org/W2053304140","https://openalex.org/W2060187899","https://openalex.org/W2062763307","https://openalex.org/W2066152734","https://openalex.org/W2074392433","https://openalex.org/W2092204933","https://openalex.org/W2095036901","https://openalex.org/W2123551458","https://openalex.org/W2128849091","https://openalex.org/W2130254387","https://openalex.org/W2138366134","https://openalex.org/W2145753800","https://openalex.org/W2255491671","https://openalex.org/W2318555919","https://openalex.org/W2468447016","https://openalex.org/W2507264573","https://openalex.org/W2608833521","https://openalex.org/W2799095527","https://openalex.org/W2806715133","https://openalex.org/W2806908283","https://openalex.org/W3105248958"],"related_works":["https://openalex.org/W349784801","https://openalex.org/W3142714410","https://openalex.org/W2025888347","https://openalex.org/W2156090261","https://openalex.org/W2335117235","https://openalex.org/W1965580831","https://openalex.org/W2050779756","https://openalex.org/W2391102123","https://openalex.org/W2338960601","https://openalex.org/W2939409110"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3],"combined":[4],"compact":[5],"finite":[6],"difference":[7],"method":[8,33,53],"(CCD)":[9],"together":[10],"with":[11,27],"alternating":[12],"direction":[13],"implicit":[14],"(ADI)":[15],"scheme":[16],"is":[17,34,54],"developed":[18],"for":[19,69],"two-dimensional":[20],"linear":[21,48,71],"and":[22,40,72],"nonlinear":[23,73],"hyperbolic":[24,49,74],"telegraph":[25],"equations":[26,75],"variable":[28,39],"coefficients.":[29],"The":[30],"proposed":[31,85],"CCD-ADI":[32,52],"second-order":[35],"accurate":[36,42],"in":[37,43],"time":[38],"sixth-order":[41],"space":[44],"variable.":[45],"For":[46],"the":[47,51,62,80,84],"equation,":[50],"shown":[55],"to":[56,78],"be":[57],"unconditionally":[58],"stable":[59],"by":[60],"using":[61],"Von":[63],"Neumann":[64],"stability":[65],"analysis.":[66],"Numerical":[67],"results":[68],"both":[70],"are":[76],"presented":[77],"illustrate":[79],"high":[81],"accuracy":[82],"of":[83],"method.":[86]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-09T13:55:54.758798","created_date":"2025-10-10T00:00:00"}