Abstract
An approximation method based on hybrid Legendre polynomials and Block-Pulse functions used for the solution of nonlinear Volterra-Fredholm integral equations (NV-FIEs). The operational matrices of these functions are utilized to reduce a nonlinear Volterra-Fredholm integral equation to a system of nonlinear algebraic equations. In addition, convergence analysis and numerical examples that illustrate the pertinent features of the method are presented. Key words: Hybrid functions, nonlinear integral equations, operational matrix, product matrix, coefficient matrix.
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