论文信息 - Hybrid functions approach for the nonlinear Volterra-Fredholm integral equations

Hybrid functions approach for the nonlinear Volterra-Fredholm integral equations

Abstract An approximation method based on hybrid Legendre and Block–Pulse functions used for the solution of nonlinear Volterra–Fredholm integral equations (NV-FIEs). These hybrid functions operational matrices are presented and 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.

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