Two Reliable Methods for The Solution of Fractional Coupled Burgers’ Equation Arising as a Model of Polydispersive Sedimentation-Reference-Cited by-同舟云学术

Two Reliable Methods for The Solution of Fractional Coupled Burgers’ Equation Arising as a Model of Polydispersive Sedimentation

Published:2019-07-01 Issue:2 Volume:4 Page:523-534
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Kurt Ali¹,Şenol Mehmet²,Tasbozan Orkun³,Chand Mehar⁴

Affiliation:

1. Department of Mathematics , Faculty of Science and Art, Pamukkale University , Denizli , Turkey

2. Department of Mathematics , Faculty of Science and Art, Nevşehir Hacι Bektaş Veli University , Nevşehir , Turkey

3. Department of Mathematics , Faculty of Science and Art, Mustafa Kemal University , Hatay , Turkey

4. Department of Mathematics , Baba Farid College , Bathinda , India

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/AMNS.2019.2.00049

Reference44 articles.

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