doi: 10.17706/ijapm.2016.6.3.88-94
Numerical Solution of Nonlinear Weakly Singular Fredholm-Volterra Integral Equations of the Second Kind by Using Sinc-Collocation Methods
Khosrow Maleknejad
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- School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846, Iran
Abstract
In this paper, the efficient methods based on the Sinc approximation with the single exponential (SE) and double exponential (DE) transformations are presented to solve nonlinear Fredholm-Volterra integral equations with weakly singular kernel. Sinc approximation has considerable advantages. Some of them are the exponential convergence of an approximate solution and simply implementation, even in the presence of singularities. Properties of the SE-Sinc and DE-Sinc methods are utilized to reduce the problem to a set of algebraic equations. Finally, we give some numerical results that confirm efficiency and accuracy of the numerical schemes.
Keywords
- Nonlinear Fredholm-Volterra integral equation
- Sinc approximation
- weakly singular kernel
How to Cite
Khosrow Maleknejad, Azadeh Ostadi, and Asyieh Ebrahimzadeh, "Numerical Solution of Nonlinear Weakly Singular Fredholm-Volterra Integral Equations of the Second Kind by Using Sinc-Collocation Methods," International Journal of Applied Physics and Mathematics, vol. 6, no. 3, pp. 88-94, 2016. https://doi.org/ 10.17706/ijapm.2016.6.3.88-94
Copyright & License
Copyright © 2016 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).