Application of Laplace Differential Transform Method in Solving Two-Dimensional Partial Differential Equations with Variable Coefficient

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Deborah Oluwatobi Daniel

Abstract

        In this paper, Laplace Differential Transform Method (LDTM) is employed in solving two-dimensional partial differential equations with variable coefficients. Laplace Differential Transform Method (LDTM) combines Laplace transform and Differential Transform Method (DTM) and can be used to effectively solve 2-D partial differential equations. In order to demonstrate the effectiveness of this method, 2-D heat-like equations and wave-like equation were considered. Results revealed that the LDTM is effective and efficient in handling 2-D homogeneous and nonhomogeneous partial differential equations with little computational effort.


Keywords:   Nonhomogeneous PDE, 2-D PDE, Laplace Differential Transform Method, Laplace Transform, Differential Transform Method

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Section
Review Articles

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How to Cite
DANIEL, Deborah Oluwatobi. Application of Laplace Differential Transform Method in Solving Two-Dimensional Partial Differential Equations with Variable Coefficient. Naresuan University Journal: Science and Technology (NUJST), [S.l.], v. 30, n. 2, p. 50-58, aug. 2021. ISSN 2539-553X. Available at: <https://www.journal.nu.ac.th/NUJST/article/view/Vol-30-No-2-2022-50-58>. Date accessed: 29 mar. 2024. doi: https://doi.org/10.14456/nujst.2022.15.