Applying Two-Dimensional Differential Transform Method to Partial Differential Equations

Hnin Ei Phyu; Khin Than Sint

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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

References

[1] C. K. Chen, and S. H. Ho, “Solving Partial Differential Equations by Two-Dimensional Differential Transform Method”, Applied Mathematics and Computation, Taiwan, Vol. 106, 1999, pp. 171-179.

[2] A. Khatib, “Differential Transform Method for Differential Equations”, Master Thesis, Palestine Polytechnic University, Hebron, Palestine, 2016.

[3] H. Kishan, "Differential Calculus", Atlantic Publishers and Distributors (P) LTD, New Delhi, 2007.

[4] T. S. Priya, and N. Alima, “Differential Transform Method for Solving Linear and Homogeneous Equation with Variable Coefficients”, Journal of Emerging Technologies and Innovative Research, Vol. 5, Issue 4, 2016, pp. 424-426.

[5] K. R. Raslan, A. Biswas, and Z. Abu Sheer, “Differential Transform Method for Solving Partial Differential Equations with Variable Coefficients”, International Journal of Physical Sciences, Saudi Arabia, Vol. 7, 2012, pp. 1412- 1419.

[6] P. S. Sutkar, “Solution of Some Differential Equations by Using Differential Transform Method”, International Journal of Scientific and Innovative Mathematical Research, Vol. 5, Issue 5, 2017, pp. 17-20.

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},
  }