The Comparative Study on (3+1)-dimensional Equal
Width Wave Equation with Diffusion by HPM ,ADM
and DTM

R. Asokan; T. Shanmuga Priya; K. Azhagu Raja

doi:https://doi.org/10.14445/22315373/IJMTT-V56P552

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 6 | Year 2018 | Article Id. IJMTT-V56P552 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P552

The Comparative Study on (3+1)-dimensional Equal Width Wave Equation with Diffusion by HPM ,ADM and DTM

R. Asokan, T. Shanmuga Priya, K. Azhagu Raja

Abstract

In this paper, we determine the homotopy perturbation method (HPM) and adomian de- composition method (ADM) to obtain a closed form solution of the (3+1)-dimensional Equal Width Wave equation with diffusivity term. These methods consider the use of the initial or boundary conditions and FInd the solution without any discretization, transformation or re- strictive conditions and avoid the round-off errors. Some 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 :

R. Asokan, T. Shanmuga Priya, K. Azhagu Raja, "The Comparative Study on (3+1)-dimensional Equal Width Wave Equation with Diffusion by HPM ,ADM and DTM," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 6, pp. 392-401, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P552