Laplace Differential Transform Method for Solving Nonlinear Nonhomogeneous Partial Differential Equations

Daniel Deborah O.^1, and Ayodele Moyosola²

¹Department of Mathematics and Computer Science, Southwestern University, Okun Owa, Nigeria

²Department of Mathematical Sciences, Olabisi Onabanjo University, Ago-Iwoye, Nigeria

Cite this paper:
Daniel Deborah O. and Ayodele Moyosola. Laplace Differential Transform Method for Solving Nonlinear Nonhomogeneous Partial Differential Equations. Turkish Journal of Analysis and Number Theory. 2020; 8(5):91-96. doi: 10.12691/tjant-8-5-2

Abstract

In this paper, the Laplace Differential Transform Method (LDTM) was utilized to solve some nonlinear nonhomogeneous partial differential equations. This technique is the combined form of the Laplace transform method with the Differential Transform Method (DTM). The combined method is efficient in handling nonlinear nonhomogeneous partial differential equations with variable coefficients. Laplace transform is introduced to overcome the inadequacy resulted from unsatisfied boundary condition in using DTM. Illustrative examples were examined to demonstrate the effectiveness of Laplace differential transform method. Results revealed that the LDTM is well appropriate for use in solving such problems.

Keywords:
Nonhomogeneous PDE Nonlinear PDE Laplace Differential Transform Method Laplace Transform Differential Transform Method

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