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Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method
Department of Mathematics, Dehradun Institute of Technology, Dehradun, India
Department of Mathematics, Dehradun Institute of Technology, Dehradun, India
Kishori Lal Sharma Institue of Engineering & Technology, Chandok, Bijnor, India
- 1 Department of Mathematics, Dehradun Institute of Technology, Dehradun, India
- 2 Department of Mathematics, Dehradun Institute of Technology, Dehradun, India
- 3 Kishori Lal Sharma Institue of Engineering & Technology, Chandok, Bijnor, India
American Journal of Computational Mathematics·Volume 02 (2012)·Pages 312–315·Published 18 December 2012·DOI10.4236/ajcm.2012.24042
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Abstract
In this paper, a user friendly algorithm based on the variational iteration method (VIM) is proposed to solve singular integral equations with generalized Abel’s kernel. It is observed that an approximate solutions y n (x) converges to the exact solution irrespective of the initial choice y 0 (x). Illustrative numerical examples are given to demonstrate the efficiency and simplicity of the method in solving these types of singular integral equations.
KeywordsVariational Iteration MethodSingular Integral EquationAbel’s Kernel
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