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Naghipour, A. and Manafian, J. (2015) Application of the Laplace Adomian Decomposition and Implicit Methods for Solving Burgers’ Equation. TWMS Journal of Pure and Applied Mathematics, 6, 68-77.

has been cited by the following article:

• TITLE: Numerical Solutions of Three-Dimensional Coupled Burgers’ Equations by Using Some Numerical Methods

  AUTHORS: Fatheah Ahmad Alhendi, Aisha Abdullah Alderremy

  KEYWORDS: Three-Dimensional Coupled Burgers’ Equations, Laplace Transform, Adomian Decomposition, Homotopy Perturbation, Variational Iteration Method

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.11, November 14, 2016

  ABSTRACT: In this paper, we found the numerical solution of three-dimensional coupled Burgers’ Equations by using more efficient methods: Laplace Adomian decomposition method, Laplace transform homotopy perturbation method, variational iteration method, variational iteration decomposition method and variational iteration homotopy perturbation method. Example is examined to validate the efficiency and accuracy of these methods and they reduce the size of computation without the restrictive assumption to handle nonlinear terms and it gives the solutions rapidly.