An Analytical Solution of (2+1)-Dimensional Equal width Wave Equation with Diffusivity by HPM ,ADM and DTM

S. Padmasekaran; R. Asokan; K. Alaguraja

doi:https://doi.org/10.14445/22315373/IJMTT-V56P506

International Journal of Mathematics Trends and Technology

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Volume 56 | Number 1 | Year 2018 | Article Id. IJMTT-V56P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P506

An Analytical Solution of (2+1)-Dimensional Equal width Wave Equation with Diffusivity by HPM ,ADM and DTM

S. Padmasekaran, R. Asokan, K. Alaguraja

Abstract

In this paper, we present the homotopy perturbation method (HPM) and Adomian Decomposition Method (ADM) to obtain a closed form solution of the (2+1)-dimensional Equal Width wave equation with diffusion. These methods consider the use of the initial or boundary conditions and find the solution without any discretization, transformation or restrictive conditions and avoid the round-off errors. Few numerical examples are provided to validate the reliability and efficiency of the three methods.

Keywords

Nonlinear PDE, Adomian Decomposition Method,Differential transform method,and homotopy perturbation method.

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Citation :

S. Padmasekaran, R. Asokan, K. Alaguraja, "An Analytical Solution of (2+1)-Dimensional Equal width Wave Equation with Diffusivity by HPM ,ADM and DTM," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 1, pp. 40-49, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P506