The Solution of Linearised Korteweg-de Vries Equation Using the Differential Transform Method

Main Article Content

Helena Nayar
Patrick Azere Phiri

Abstract

This paper considers the Differential Transform Method (DTM) for solving partial differential equations. The two-dimensional form of the method is used to solve a linear partial differential equation, a linearised version of the Korteweg-de Vries equation. The solutions are verified by solving the same equation using the Adomian Decomposition Method (ADM). The results also show that the DTM is much simpler to apply than the ADM.

Keywords:
The Korteweg-de Vries equation, the Differential Transform Method

Article Details

How to Cite
Nayar, H., & Phiri, P. (2018). The Solution of Linearised Korteweg-de Vries Equation Using the Differential Transform Method. Journal of Advances in Mathematics and Computer Science, 29(2), 1-10. https://doi.org/10.9734/JAMCS/2018/39586
Section
Original Research Article