doi: 10.17706/ijapm.2015.5.4.243-251
Quintic B-Spline Collocation for Solving Abel's Integral Equation
Zahra Mahmoodi
- the Department of Mathematics, Abhar Branch, Islamic Azad University, Abhar, Iran
Abstract
A collocation method based on quintic B-spline is presented for the numerical solution of Abel's integral equation. The solution is collocated by quintic B-spline and then the integral equation is approximated by the product trapezoidal formula. The error analysis of proposed numerical scheme is studied theoretically. The presented method is tested with two examples and numerical results are given to illustrate the efficiency of the proposed method.
Keywords
- Abel's integral equation
- quintic B-spline
- product trapezoidal
- error analysis
How to Cite
Zahra Mahmoodi, "Quintic B-Spline Collocation for Solving Abel's Integral Equation," International Journal of Applied Physics and Mathematics, vol. 5, no. 4, pp. 243-251, 2015. https://doi.org/ 10.17706/ijapm.2015.5.4.243-251
Copyright & License
Copyright © 2015 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).