Identification of HPM and ADM for the (n+1)-dimensional Equal Width Wave
Equation with Diffusion and Damping term

R. Asokan; E. Nakkeeran; T. Shanmuga Priya

doi:https://doi.org/10.14445/22315373/IJMTT-V56P551

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 6 | Year 2018 | Article Id. IJMTT-V56P551 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P551

Identification of HPM and ADM for the (n+1)-dimensional Equal Width Wave Equation with Diffusion and Damping term

R. Asokan, E. Nakkeeran, T. Shanmuga Priya

Abstract

In this paper, We present the homotopy perturbation method (HPM) and Adomian Decomposition Method (ADM) to obtain a closed form solution of the (n+1)-dimensional Equal Width wave equation with diffusion and dispersion term. 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 :

R. Asokan, E. Nakkeeran, T. Shanmuga Priya, "Identification of HPM and ADM for the (n+1)-dimensional Equal Width Wave Equation with Diffusion and Damping term," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 6, pp. 380-391, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P551