Solution of the time-fractional generalized Burger-Fisher equation using the fractional re duce d differential transform method

被引:10
作者
Tamboli, Vahisht K. [1 ]
Tandel, Priti, V [2 ]
机构
[1] Veer Narmad South Gujarat Univ, BP Baria Sci Inst, Dept Math, Surat, Gujarat, India
[2] Veer Narmad South Gujarat Univ, Dept Math, Surat, Gujarat, India
关键词
Fractional reduced differential transform; method (FRDTM); Time fractional generalized Burger-Fisher; equation (TF-GBFE); Fractional calculus; Caputo sense; TRAVELING-WAVE SOLUTIONS;
D O I
10.1016/j.joes.2021.09.009
中图分类号
U6 [水路运输]; P75 [海洋工程];
学科分类号
0814 ; 081505 ; 0824 ; 082401 ;
摘要
"The time-fractional generalized Burger-Fisher equation (TF-GBFE) " is used in various applied sciences and physical applications, including simulation of gas dynamics, financial mathematics, fluid mechanics, and ocean engineering. This equation represents a concept for the coordination of reaction systems, as well as advection, and conveys the understanding of dissipation. The Fractional Reduced Differential Transform Method (FRDTM) is used to evaluate "the time-fractional generalized Burger-Fisher equation (TF-GBFE). " To determine the method's validity, when the solutions are obtained, they are correlated to exact solutions of alpha = 1 order, and even for various values of alpha. Three-dimensional graphs are used to depict the solutions. Additionally, the analysis of exact and FRDTM solutions indicates that the proposed approach is very accurate. (c) 2021 Shanghai Jiaotong University. Published by Elsevier B.V.
引用
收藏
页码:399 / 407
页数:9
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