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1709839PublishedVol 9 · Issue 1

Applying Two-Dimensional Differential Transform Method to Partial Differential Equations

Hnin Ei Phyu Khin Than Sint

Subject area: Science,Engineering and Technology  ·  Area of research: Applied Mathematics, Differential Equations

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

How to cite this paper

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