doi: 10.7763/IJAPM.2014.V4.267
Lubich-Collocation Method for Solving a System of Nonlinear Integral Equations of Convolution Type
Reza Zolfaghari
- the Department of Computer Science in Salman Farsi University of Kazerun, Iran
Abstract
Lubich convolution quadrature formulas have the fundamental property of not using explicitly the expression of the kernel of the integral equation they are applied to, which is instead replaced by that of its Laplace transform, usually given by a simple analytic function. In this paper, the Lubichcollocation procedure was successfully employed to reduce a system of nonlinear Volterra integral equations with convolution kernels to a system of algebraic equations. An example is considered to illustrate the ability of the proposed method.
Keywords
- Nonlinear integral equation
- Convolution kernel
- Lubich quadrature
How to Cite
Reza Zolfaghari, "Lubich-Collocation Method for Solving a System of Nonlinear Integral Equations of Convolution Type," International Journal of Applied Physics and Mathematics, vol. 4, no. 2, pp. 121-125, 2014. https://doi.org/ 10.7763/IJAPM.2014.V4.267
Copyright & License
Copyright © 2014 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).