2018•Unpublished venueRequires access

An approximate analytical solution of the two-dimensional KdV-burgers equation by the homotopy analysis method

Chayanon Kattiyapirak, Watcharapong Khovidhungij

Abstract

This paper applies the homotopy analysis method to obtain an approximate analytical solution of the two-dimensional Korteweg-de Vries-Burgers equation. It is found that the homotopy analysis method gives more accurate results on a larger domain than previous results obtained from the Adomian decomposition method.

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Available abstract

Key concepts: Homotopy analysis method, Adomian decomposition method, Korteweg–de Vries equation, Mathematics, Homotopy, Homotopy perturbation method, Applied mathematics, Burgers' equation