{"id":"https://openalex.org/W2896169442","doi":"https://doi.org/10.1080/00207160.2018.1535110","title":"New local discontinuous Galerkin method for a fractional time diffusion wave equation","display_name":"New local discontinuous Galerkin method for a fractional time diffusion wave equation","publication_year":2018,"publication_date":"2018-10-11","ids":{"openalex":"https://openalex.org/W2896169442","doi":"https://doi.org/10.1080/00207160.2018.1535110","mag":"2896169442"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2018.1535110","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2018.1535110","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/A5091584752","display_name":"S. Qasemi","orcid":"https://orcid.org/0000-0001-9558-9249"},"institutions":[{"id":"https://openalex.org/I69425150","display_name":"Imam Khomeini International University","ror":"https://ror.org/02jeykk09","country_code":"IR","type":"education","lineage":["https://openalex.org/I69425150"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"S. Qasemi","raw_affiliation_strings":["Department of Mathematics, Imam Khomeini International University, Qazvin, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Imam Khomeini International University, Qazvin, Iran","institution_ids":["https://openalex.org/I69425150"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076636430","display_name":"Davood Rostamy","orcid":"https://orcid.org/0000-0001-9585-8904"},"institutions":[{"id":"https://openalex.org/I69425150","display_name":"Imam Khomeini International University","ror":"https://ror.org/02jeykk09","country_code":"IR","type":"education","lineage":["https://openalex.org/I69425150"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"D. Rostamy","raw_affiliation_strings":["Department of Mathematics, Imam Khomeini International University, Qazvin, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Imam Khomeini International University, Qazvin, Iran","institution_ids":["https://openalex.org/I69425150"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076636430"],"corresponding_institution_ids":["https://openalex.org/I69425150"],"apc_list":null,"apc_paid":null,"fwci":0.3834,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.58420377,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"96","issue":"9","first_page":"1818","last_page":"1838"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9995999932289124,"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":0.9995999932289124,"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/T10514","display_name":"Numerical methods in engineering","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7780478000640869},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6014140844345093},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.5919294357299805},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5407336950302124},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5124252438545227},{"id":"https://openalex.org/keywords/local-time","display_name":"Local time","score":0.4926655888557434},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.44881314039230347},{"id":"https://openalex.org/keywords/diffusion-equation","display_name":"Diffusion equation","score":0.43964114785194397},{"id":"https://openalex.org/keywords/wave-equation","display_name":"Wave equation","score":0.43764418363571167},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41694480180740356},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.20317775011062622},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1315842568874359}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7780478000640869},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6014140844345093},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.5919294357299805},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5407336950302124},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5124252438545227},{"id":"https://openalex.org/C41479618","wikidata":"https://www.wikidata.org/wiki/Q3883775","display_name":"Local time","level":2,"score":0.4926655888557434},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.44881314039230347},{"id":"https://openalex.org/C571446","wikidata":"https://www.wikidata.org/wiki/Q6510183","display_name":"Diffusion equation","level":3,"score":0.43964114785194397},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.43764418363571167},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41694480180740356},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.20317775011062622},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1315842568874359},{"id":"https://openalex.org/C136264566","wikidata":"https://www.wikidata.org/wiki/Q159810","display_name":"Economy","level":1,"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},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160.2018.1535110","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2018.1535110","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/10","score":0.44999998807907104,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W73341202","https://openalex.org/W140909251","https://openalex.org/W171286733","https://openalex.org/W283099211","https://openalex.org/W1492326914","https://openalex.org/W1508646408","https://openalex.org/W1550268283","https://openalex.org/W1958877834","https://openalex.org/W1966781397","https://openalex.org/W1969378179","https://openalex.org/W1969610193","https://openalex.org/W1970850839","https://openalex.org/W1978411449","https://openalex.org/W1986208932","https://openalex.org/W1987196790","https://openalex.org/W1992526128","https://openalex.org/W2003438645","https://openalex.org/W2007031446","https://openalex.org/W2011301580","https://openalex.org/W2012938047","https://openalex.org/W2015829426","https://openalex.org/W2020148091","https://openalex.org/W2025839967","https://openalex.org/W2027205768","https://openalex.org/W2032137165","https://openalex.org/W2038626747","https://openalex.org/W2040194422","https://openalex.org/W2041428283","https://openalex.org/W2055893851","https://openalex.org/W2058524173","https://openalex.org/W2076626584","https://openalex.org/W2078833414","https://openalex.org/W2079974799","https://openalex.org/W2090864679","https://openalex.org/W2123185493","https://openalex.org/W2131774555","https://openalex.org/W2189491911","https://openalex.org/W2341719727","https://openalex.org/W2505920944","https://openalex.org/W2508983562","https://openalex.org/W4233665781","https://openalex.org/W4245820193","https://openalex.org/W4292166829"],"related_works":["https://openalex.org/W3022203050","https://openalex.org/W2373753062","https://openalex.org/W2560630614","https://openalex.org/W2070281201","https://openalex.org/W2755248686","https://openalex.org/W2149814405","https://openalex.org/W1576610094","https://openalex.org/W27194207","https://openalex.org/W2907331802","https://openalex.org/W2580358249"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2],"devoted":[3],"to":[4],"the":[5,15,31,36,40,47,71,82],"study":[6],"of":[7,56],"a":[8],"new":[9],"discontinuous":[10,63],"finite":[11,64],"element":[12,65],"idea":[13],"for":[14],"time":[16,25,41],"fractional":[17,26,42],"diffusion-wave":[18,43],"equation":[19,48],"defined":[20],"in":[21,30],"bounded":[22],"domain.":[23],"The":[24],"derivatives":[27],"are":[28,79,85],"described":[29],"Caputo's":[32,57],"sense.":[33],"By":[34],"applying":[35],"sine":[37],"transform":[38],"on":[39,50],"equation,":[44],"we":[45,53,69],"make":[46],"depend":[49],"time.":[51],"Then":[52],"use":[54],"definition":[55],"derivative":[58],"and":[59,77],"by":[60,87],"defining":[61],"l-degree":[62],"with":[66],"interpolated":[67],"coefficients":[68],"solve":[70],"mentioned":[72],"equation.":[73],"Error":[74],"estimate,":[75],"existence":[76],"uniqueness":[78],"proved.":[80],"Finally,":[81],"theoretical":[83],"results":[84],"tested":[86],"some":[88],"numerical":[89],"examples.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
