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M. T. Rashad, “Numerical Solution of the Integral Equations of the First Kind,” Applied Mathematics and Computation, Vol. 145, No. 2-3, 2003, pp. 413-420. doi:10.1016/S0096-3003(02)00497-6

has been cited by the following article:

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

  AUTHORS: Yousef Al-Jarrah, En-Bing Lin

  KEYWORDS: Wavelets; Coiflets; Scaling Function Interpolation; Volterra Integral Equation; Fredholm-Volterra Integral Equation

  JOURNAL NAME: Applied Mathematics, Vol.4 No.1A, January 30, 2013

  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.