(1Â +Â n)-Dimensional Burgers' equation and its analytical solution: A comparative study of HPM, ADM and DTM

In this article, we present homotopy perturbation method, adomian decomposition method and differential transform method to obtain a closed form solution of the (1 + n)-dimensional Burgers' equation. These methods consider the use of the initial or boundary conditions and find the solution without any discritization, transformation, or restrictive conditions and avoid the round-off errors. Four numerical examples are provided to validate the reliability and efficiency of the three methods.