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Variational Iteration Method for Solving Linear Integral Equations of Second Kind
Subject area: Science,Engineering and Technology · Area of research: Mathematics, Integral Equations
Abstract
Firstly, the definition of integral equation and its concepts are introduced. Next, the variational iteration method is used for solving linear Fredholm and Volterra integral equations. The method provides rapidly convergent successive approximations of the exact solution. Finally, the variational iteration method is applied to find the solutions of the linear integral equations.
Keywords
Variational Iteration Method, Fredholm Integral Equations, Volterra Integral Equations.
References
[1] A. M. Wazwaz, “Two Methods for Solving Integral Equations”, Applied Mathematics and Computation, Vol. 77, 1996, pp. 79-89.
[2] A. M. Wazwaz, “Linear and Nonlinear Integral Equations: Methods and Applications”, Higher Education Press, Beijing, 2011.
[3] A. M. Wazwaz, “A First Course in Integral Equations”, World Scientific Publishing Co. Pte.Ltd, Singapore, 2015.
[4] L. Xu, “Variational Iteration Method for Solving Integral Equations”, Computers and Mathematics with Applications, Vol. 54, 2007, pp. 1071-1078.
[5] P. Jaysmita, “Some Problems on Variational Iteration Method”, National Institute of Technology, Rourkela, 2015.
[6] S. M. Zemyan, “The Classical Theory of Integral Equations: A Concise Treatment”, Springer, New York, 2012.
How to cite this paper
@article{1711309,
author = {Theint Thinzar Aung, Khin Than Sint},
title = {Variational Iteration Method for Solving Linear Integral Equations of Second Kind},
journal = {Iconic Research And Engineering Journals},
year = {2025},
volume = {9},
number = {4},
pages = {846-851},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1711309.pdf},
abstract = {Firstly, the definition of integral equation and its concepts are introduced. Next, the variational iteration method is used for solving linear Fredholm and Volterra integral equations. The method provides rapidly convergent successive approximations of the exact solution. Finally, the variational iteration method is applied to find the solutions of the linear integral equations.},
keywords = {Variational Iteration Method, Fredholm Integral Equations, Volterra Integral Equations.},
month = {October},
}