The Fornberg-Whitham Equation Solved by the Differential Transform Method

Main Article Content

Helena Nayar
Patrick Azere Phiri

Abstract

The Differential Transform Method is a powerful analytical method that can solve nonlinear partial differential equations. Yet, the method cannot be used to solve time-dependent partial differential equations that involve more than one partial derivative with respect to the temporal variable t when they are of the same order, as in the case of the Fornberg-Whitham type equations. In this paper, a new theorem is devised to overcome the aforementioned problem of
the method, and it has been successfully applied to solve the Fornberg-Whitham equation. The other equations belonging to this group of equations, such as the Camassa-Holm equation and the Degasperi-Procesi equation, may also be solved by this approach.

Keywords:
Differential Transform method, Fornberg-Whitham equation.

Article Details

How to Cite
Nayar, H., & Phiri, P. A. (2020). The Fornberg-Whitham Equation Solved by the Differential Transform Method. Journal of Advances in Mathematics and Computer Science, 35(7), 85-95. https://doi.org/10.9734/jamcs/2020/v35i730306
Section
Original Research Article

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