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

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DOI: 10.4236/am.2013.41A031    4,250 Downloads   7,247 Views   Citations

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.

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The authors declare no conflicts of interest.

Cite this paper

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.

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