Application of Adomian Decomposition Method for Solving Volterra Integral Equations
  • Author(s): Nang Hsu Mon Kyaw ; Aung Tin Win ; Khin Than Sint
  • Paper ID: 1711292
  • Page: 869-875
  • Published Date: 17-10-2025
  • Published In: Iconic Research And Engineering Journals
  • Publisher: IRE Journals
  • e-ISSN: 2456-8880
  • Volume/Issue: Volume 9 Issue 4 October-2025
Abstract

In this paper, firstly, definitions and classifications of integral equations are described. Next, Adomian decomposition method is observed. Moreover, Adomian decomposition method is set out with the aim of solving linear and nonlinear Volterra integral equations. Finally, some applications are expressed to demonstrate the effectiveness of Adomian decomposition methods for solving linear and nonlinear Volterra integral equations.

Keywords

Adomian Decomposition Method, Exact Solution, MATLAB, Series Solution, Volterra Integral Equation

Citations

IRE Journals:
Nang Hsu Mon Kyaw , Aung Tin Win , Khin Than Sint "Application of Adomian Decomposition Method for Solving Volterra Integral Equations" Iconic Research And Engineering Journals Volume 9 Issue 4 2025 Page 869-875

IEEE:
Nang Hsu Mon Kyaw , Aung Tin Win , Khin Than Sint "Application of Adomian Decomposition Method for Solving Volterra Integral Equations" Iconic Research And Engineering Journals, 9(4)