Author(s)

Fatheah Ahmad Alhendi¹, Aisha Abdullah Alderremy²

¹Department of Mathematics, King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia.
²Department of Mathematics, King Khaild University, Abha, Kingdom of Saudi Arabia.

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.

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

Ahmad Alhendi, F. and Alderremy, A. (2016) Numerical Solutions of Three-Dimensional Coupled Burgers’ Equations by Using Some Numerical Methods. Journal of Applied Mathematics and Physics, 4, 2011-2030. doi: 10.4236/jamp.2016.411201.