Two approximation methods for fractional order Pseudo-Parabolic differential equations

Basit Öğe Kaydı
dc.authoridAlsallami, Shami/0000-0001-5480-9866
dc.authoridkhalil, eied/0009-0005-9377-5861
dc.authoridkhalil, eied/0000-0003-0189-845X
dc.contributor.authorModanli, Mahmut
dc.contributor.authorGoktepe, Ecem
dc.contributor.authorAkgul, Ali
dc.contributor.authorAlsallami, Shami A. M.
dc.contributor.authorKhalil, E. M.
dc.date.accessioned2024-12-24T19:25:12Z
dc.date.available2024-12-24T19:25:12Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this study, fractional order pseudo-parabolic partial differential equation defined by Caputo derivative is investigated with initial-boundary conditions. Modified double Laplace decomposition method is used to find the exact solution of this equation. Explicit finite difference is constructed for this partial differential equation. Stability estimates are proved for these difference schemes. Error analysis table is obtained by compared the exact and approximate solutions. Figures showing the physical properties of the exact and approximate solutions are presented. From the error tables and figures, this applied method is an good and effective method for this equation.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
dc.description.sponsorshipDeanship of Scientific Research at Umm Al-Qura University [22UQU4290491DSR05]; Taif University Researchers Supporting Project, Taif University, Taif, Saudi Arabia [TURSP-2020/17]
dc.description.sponsorshipThe authors would like to thank the Deanship of Scientific Research at Umm Al-Qura University for supporting this work by Grant Code: (22UQU4290491DSR05) . This Research was supported by Taif University Researchers Supporting Project Number (TURSP-2020/17) , Taif University, Taif, Saudi Arabia.
dc.identifier.doi10.1016/j.aej.2022.03.061
dc.identifier.endpage10339
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85127760205
dc.identifier.scopusqualityQ1
dc.identifier.startpage10333
dc.identifier.urihttps://doi.org/10.1016/j.aej.2022.03.061
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6313
dc.identifier.volume61
dc.identifier.wosWOS:000806178000007
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectFractional order pseudo-parabolic differential equa-tion
dc.subjectExplicit finite difference method
dc.subjectModified double Laplace decomposition method
dc.subjectStability
dc.subjectNumerical solution
dc.titleTwo approximation methods for fractional order Pseudo-Parabolic differential equations
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu