TY  - JOUR
AV  - none
TI  - Effective method for solving different types of nonlinear fractional burgers' equations
ID  - scholars13182
N2  - In this study, a relatively new method to solve partial differential equations (PDEs) called the fractional reduced differential transform method (FRDTM) is used. The implementation of the method is based on an iterative scheme in series form. We test the proposed method to solve nonlinear fractional Burgers equations in one, two coupled, and three dimensions. To show the efficiency and accuracy of this method, we compare the results with the exact solutions, as well as some established methods. Approximate solutions for different values of fractional derivatives together with exact solutions and absolute errors are represented graphically in two and three dimensions. From all numerical results, we can conclude the efficiency of the proposed method for solving different types of nonlinear fractional partial differential equations over existing methods. © 2020 by the authors.
N1  - cited By 7
IS  - 5
SN  - 22277390
PB  - MDPI AG
Y1  - 2020///
VL  - 8
UR  - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85085528509&doi=10.3390%2fMATH8050729&partnerID=40&md5=5122b6f8175fb4ae7937448135a6728b
JF  - Mathematics
A1  - Mukhtar, S.
A1  - Abuasad, S.
A1  - Hashim, I.
A1  - Karim, S.A.A.
ER  -