Applying Two-Dimensional Differential Transform Method to Partial Differential Equations

• Author(s): Hnin Ei Phyu; Khin Than Sint
• Paper ID: 1709839
• Page: 1366-1371
• Published Date: 31-07-2025
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 9 Issue 1 July-2025

Abstract

In this paper, definitions of two-dimensional differential transform and inverse differential transform are firstly described. And then, properties of two-dimensional differential transform are expressed. After that, two-dimensional differential transform is utilized to solve the initial value problems for linear homogeneous and inhomogeneous two-dimensional partial differential equations with constant coefficients and variable coefficients. Finally, two-dimensional differential transform is applied to solve the initial value problems for two-dimensional nonlinear partial differential equations

Keywords

Partial Differential Equations, Two-Dimensional Differential Transforms, Applications

Citations

IRE Journals:
Hnin Ei Phyu, Khin Than Sint "Applying Two-Dimensional Differential Transform Method to Partial Differential Equations " Iconic Research And Engineering Journals Volume 9 Issue 1 2025 Page 1366-1371

IEEE:
Hnin Ei Phyu, Khin Than Sint "Applying Two-Dimensional Differential Transform Method to Partial Differential Equations " Iconic Research And Engineering Journals, vol. 9, no. 1, Jul. 2025

APA:
Hnin Ei Phyu, Khin Than Sint (2025). Applying Two-Dimensional Differential Transform Method to Partial Differential Equations . Iconic Research And Engineering Journals, 9(1).

MLA:
Hnin Ei Phyu, Khin Than Sint "Applying Two-Dimensional Differential Transform Method to Partial Differential Equations " Iconic Research And Engineering Journals, vol. 9, no. 1, Jul. 2025.

BibTeX

@article{1709839,
author = {Hnin Ei Phyu, Khin Than Sint},
title = {Applying Two-Dimensional Differential Transform Method to Partial Differential Equations },
journal = {Iconic Research And Engineering Journals},
year = {2025},
volume = {9},
number = {1},
pages = {1366-1371},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1709839.pdf},
abstract = {In this paper, definitions of two-dimensional differential transform and inverse differential transform are firstly described. And then, properties of two-dimensional differential transform are expressed. After that, two-dimensional differential transform is utilized to solve the initial value problems for linear homogeneous and inhomogeneous two-dimensional partial differential equations with constant coefficients and variable coefficients. Finally, two-dimensional differential transform is applied to solve the initial value problems for two-dimensional nonlinear partial differential equations},
keywords = {Partial Differential Equations, Two-Dimensional Differential Transforms, Applications},
month = {July}
}