Numerical Solution of Freholm-Volterra Integral Equations by Using Scaling Function Interpolation Method

HTML  Download Download as PDF (Size: 198KB)  PP. 204-209  
DOI: 10.4236/am.2013.41A031    5,278 Downloads   9,280 Views  Citations

ABSTRACT

Wavelet methods are a very useful tool in solving integral equations. Both scaling functions and wavelet functions are the key elements of wavelet methods. In this article, we use scaling function interpolation method to solve Volterra integral equations of the first kind, and Fredholm-Volterra integral equations. Moreover, we prove convergence theorem for the numerical solution of Volterra integral equations and Freholm-Volterra integral equations. We also present three examples of solving Volterra integral equation and one example of solving Fredholm-Volterra integral equation. Comparisons of the results with other methods are included in the examples.

Share and Cite:

Y. Al-Jarrah and E. Lin, "Numerical Solution of Freholm-Volterra Integral Equations by Using Scaling Function Interpolation Method," Applied Mathematics, Vol. 4 No. 1A, 2013, pp. 204-209. doi: 10.4236/am.2013.41A031.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.