Abstract
The present article focuses on how to find the exact solutions of the time-fractional regular and singular coupled Burgers’ equations by applying a new method that is called triple Laplace and Adomian decomposition method. Furthermore, the proposed method is a strong tool for solving many problems. The accuracy of the method is considered through the use of some examples, and the results obtained are compared with those of the existing methods in the literature.
Highlights
Fractional Burgers’ equation has received significant attention
From a recent couple of years, important dedication has been given to Laplace decomposition method and its modifications for studying mathematical model [8, 9]
We propose a new hybrid triple Laplace Adomian decomposition method to obtain exact solutions of the time-fractional regular and singular coupled Burgers’ equations
Summary
Fractional Burgers’ equation has received significant attention. The solution of this equation becomes very important for mathematical and physical phenomena. In [14] the Laplace decomposition method (LDM) is suggested to solve the two-dimensional nonlinear Burgers’ equations. We propose a new hybrid triple Laplace Adomian decomposition method to obtain exact solutions of the time-fractional regular and singular coupled Burgers’ equations. The triple Laplace transform of f is defined by LxLyLt f (x, y, t) = F(p, q, s) =
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