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
Partial Differential Equations, Two-Dimensional Differential Transforms, Applications
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, 9(1)