ON APPROXIMATE SOLUTION OF NONLINEAR WEAKLY SINGULAR VOLTERRA INTEGRAL EQUATION Page No: 4367-4373

By: Samah M Dardery

Keywords: an onlinear weakly singular Volterra integral equation; Abel Type integral equation; the quadrature error; the product Euler\'s method

Abstract: The paper is concerned with the numerical analysis of anonlinear weakly singular Volterra integral equation by the product Euler\'s method, we proved that the error in Euler\'s method is of orderO(h). To illustrate the convergence rates some numerical results are included confirming the theoretical estimates



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