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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
References
[1] A. M. Wazwaz, “Linear and Nonlinear Integral Equations, Methods and Applications”. Beijing: Springer, 2011, pp. 65–73.
[2] A. M. Wazwaz, “A First Course in Integral Equations”. Second Edition. Singapore, World Scientific Publishing Co. Pte. Ltd, 2015, pp. 41–53.
[3] F. Abdiwahid, “Adomian decomposition method applied to nonlinear integral equations”, Adomian Decomp. Method Appl. Nonlinear Integral Equ., vol. 1, pp. 11-18, January, 2010.
[4] A. Sudhanshu, R.G. Anjana, K. Astha, “Applications of Adomian decomposition method for solving linear nonhomogeneous Fredholm integral equations of second kind”, Appl. Adomian Decomp. Method for Solving Linear Nonhomg. Fredholm Integral Equ., vol.5, Issue 5, pp. 1-5, May, 2018.
[5] Y. A. S. Mohammed, “Solution of some integral and differential equations using Adomian decomposition method”, Ph. D Thesis, Department of Mathematics, Sudan University of Science and Technology, Sudan, 2019.
[6] H. F. Tomaizeh, “Modified Adomian decomposition method for differential equations”, M. Sc Thesis, Department of Mathematics, Hebron University, Hebron-Palestine, 2017.
How to cite this paper
@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},
}