Two-dimensional Legendre Wavelets Method for the Mixed Volterra-Fredholm Integral Equations.

This article presents a numerical method for solving nonlinear mixed Volterra-Fredholm integral equations. The method is based on two-dimensional Legendre wavelet approximations. The properties of Legendre wavelets are utilized together with the Gaussian integration method to reduce the mixed integral equations to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. [ABSTRACT FROM AUTHOR]