Legendre wavelets method for the nonlinear Volterra–Fredholm integral equations

S. Yousefi and M. Razzaghi

Mathematics and Computers in Simulation (MATCOM), 2005, vol. 70, issue 1, 1-8

Abstract: A numerical method for solving the nonlinear Volterra–Fredholm integral equations is presented. The method is based upon Legendre wavelet approximations. The properties of Legendre wavelet are first presented. These properties together with the Gaussian integration method are then utilized to reduce the Volterra–Fredholm integral equations to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.

Keywords: Legendre; Wavelets; Nonlinear; Volterra–Fredholm; Integral equations (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:70:y:2005:i:1:p:1-8

DOI: 10.1016/j.matcom.2005.02.035

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