Two Reliable Methods for The Solution of Fractional Coupled Burgers' Equation Arising as a Model of Polydispersive Sedimentation
Yükleniyor...
Dosyalar
Tarih
2019
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter De Gruyter Gmbh
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this article, we attain new analytical solution sets for nonlinear time-fractional coupled Burgers' equations which arise in polydispersive sedimentation in shallow water waves using exp-function method. Then we apply a semi-analytical method namely perturbation-iteration algorithm (PIA) to obtain some approximate solutions. These results are compared with obtained exact solutions by tables and surface plots. The fractional derivatives are evaluated in the conformable sense. The findings reveal that both methods are very effective and dependable for solving partial fractional differential equations.
Açıklama
Anahtar Kelimeler
Fractional Coupled Burger's Equation, Conformable Fractional Derivative, Perturbation-Iteration Algorithm, Exp-Function Method
Kaynak
Applied Mathematics and Nonlinear Sciences
WoS Q DeÄŸeri
N/A
Scopus Q DeÄŸeri
Cilt
4
Sayı
2
