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A note on singular two-dimensional fractional coupled Burgers’ equation and triple Laplace Adomian decomposition method
Journal article   Open access  Peer reviewed

A note on singular two-dimensional fractional coupled Burgers’ equation and triple Laplace Adomian decomposition method

Hassan Eltayeb and Imed Bachar
Boundary value problems, Vol.2020(1), pp.1-17
23/07/2020

Abstract

Analysis Approximations and Expansions Difference and Functional Equations general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
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.
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https://doi.org/10.1186/s13661-020-01426-0View
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