Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method - American Journal of Computational Mathematics

AJCM > Vol.2 No.4, December 2012

American Journal of Computational Mathematics

Volume 2, Issue 4 (December 2012)

ISSN Print: 2161-1203 ISSN Online: 2161-1211

Google-based Impact Factor: 0.42 Citations

Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method ()

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DOI: 10.4236/ajcm.2012.24042 5,774 Downloads 10,900 Views Citations

Author(s)

R. N. Prajapati, Rakesh Mohan, Pankaj Kumar

Affiliation(s)

Department of Mathematics, Dehradun Institute of Technology, Dehradun, India.
Kishori Lal Sharma Institue of Engineering & Technology, Chandok, Bijnor, India.

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 y₀ (x). Illustrative numerical examples are given to demonstrate the efficiency and simplicity of the method in solving these types of singular integral equations.

KEYWORDS

Variational Iteration Method; Singular Integral Equation; Abel’s Kernel

Share and Cite:

R. Prajapati, R. Mohan and P. Kumar, "Numerical Solution of Generalized Abel’s Integral Equation by Variational Iteration Method," American Journal of Computational Mathematics, Vol. 2 No. 4, 2012, pp. 312-315. doi: 10.4236/ajcm.2012.24042.

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