On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method

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dc.contributor.authorHashemi, Mir Sajjad
dc.contributor.authorİnç, Mustafa
dc.contributor.authorParto-Haghighi, Mohammad
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2023-11-27T19:57:19Z
dc.date.available2023-11-27T19:57:19Z
dc.date.issued2019en_US
dc.departmentMühendislik ve Mimarlık Fakültesien_US
dc.description.abstractIn this work we offer a robust numerical algorithm based on the Lie group to solve the timefractional diffusion-wave (TFDW) equation. Firstly, we use a fictitious time variable ? to convert the related variable u(x, t) into a new space with one extra dimension. Then by using a composition of the group preserving scheme (GPS) and a semi-discretization of new variable, we approximate the solutions of the problem. Finally, various numerical experiments are performed to illustrate the power and accuracy of the given method.en_US
dc.identifier.doi10.1140/epjp/i2019-12845-1en_US
dc.identifier.endpage8en_US
dc.identifier.issn2190-5444
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-85073188387en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://hdl.handle.net/11363/6541
dc.identifier.urihttps://doi.org/
dc.identifier.volume134en_US
dc.identifier.wosWOS:000489018000001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBayram, Mustafa
dc.language.isoenen_US
dc.publisherSPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANYen_US
dc.relation.ispartofEuropean Physical Journal Plusen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLIE SYMMETRY ANALYSISen_US
dc.subjectDIFFERENTIAL-EQUATIONSen_US
dc.subjectFUNDAMENTAL-SOLUTIONSen_US
dc.subjectBOUSSINESQen_US
dc.subjectSOLVEen_US
dc.titleOn numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration methoden_US
dc.typeArticleen_US

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