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Application of Adomian Decomposition Method for Solving Volterra Integral Equations
Subject area: Science,Engineering and Technology · Area of research: Mathematics, Integral Equations
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
How to cite this paper
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
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, vol. 9, no. 4, Oct. 2025
Nang Hsu Mon Kyaw, Aung Tin Win, Khin Than Sint (2025). Application of Adomian Decomposition Method for Solving Volterra Integral Equations. Iconic Research And Engineering Journals, 9(4).
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, vol. 9, no. 4, Oct. 2025.
@article{1711292,
author = {Nang Hsu Mon Kyaw, Aung Tin Win, Khin Than Sint},
title = {Application of Adomian Decomposition Method for Solving Volterra Integral Equations},
journal = {Iconic Research And Engineering Journals},
year = {2025},
volume = {9},
number = {4},
pages = {869-875},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1711292.pdf},
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},
month = {October},
}