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

Helena Nayar; Patrick Azere Phiri

doi:10.9734/JAMCS/2018/39586

Research Article Open access CC BY 4.0

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

Helena Nayar, Patrick Azere Phiri

Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 8 Oct 2018

10.9734/JAMCS/2018/39586

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.

The Korteweg-de Vries equation the Differential Transform Method

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Helena Nayar, Patrick Azere Phiri (2018). The Solution of Linearised Korteweg-de Vries Equation Using the Differential Transform Method. Journal of Advances in Mathematics and Computer Science , 1–10. https://doi.org/10.9734/JAMCS/2018/39586

Affiliations

Helena Nayar — Department of Mathematics, Copperbelt University, Kitwe, Zambia.
Patrick Azere Phiri — Department of Mathematics, Copperbelt University, Kitwe, Zambia.

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