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Numerical Approximate Solutions of Nonlinear Fredholm Integral Equations of Second Kind Using B-spline Wavelets and Variational Iteration Method

P. K. Sahu1, S. Saha Ray1,2
National Institute of Technology, Department of Mathematics, Rourkela-769008, India.
Email: santanusaharay@yahoo.com, saharays@nitrkl.ac.in
Tel: +91 661 2462709

Computer Modeling in Engineering & Sciences 2013, 93(2), 91-112. https://doi.org/10.3970/cmes.2013.093.091

Abstract

In this paper, nonlinear integral equations have been solved numerically by using B-spline wavelet method and Variational Iteration Method (VIM). Compactly supported semi-orthogonal linear B-spline scaling and wavelet functions together with their dual functions are applied to approximate the solutions of nonlinear Fredholm integral equations of second kind. Comparisons are made between the variational Iteration Method (VIM) and linear B-spline wavelet method. Several examples are presented to compare the accuracy of linear B-spline wavelet method and Variational Iteration Method (VIM) with their exact solutions.

Keywords

Nonlinear Fredholm integral equation, Linear B-spline wavelets, Semiorthogonal, Scaling function, Variational Iteration Method (VIM).

Cite This Article

Sahu, P. K., Ray, S. S. (2013). Numerical Approximate Solutions of Nonlinear Fredholm Integral Equations of Second Kind Using B-spline Wavelets and Variational Iteration Method. CMES-Computer Modeling in Engineering & Sciences, 93(2), 91–112.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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