Two-Dimensional PCBFs : Application to Nonlinear Volterra Integral Equations
نویسنده
چکیده
In this study, we present a direct method to solve nonlinear two-dimensional VolterraHammerestein integral equations in terms of twodimensional piecewise constant block-pulse functions (2D-PCBFs). Properties of these functions and operational matrix of integration together with the product operational matrix are presented and used to transform the integral equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown block-pulse coefficients. An error analysis is given and numerical examples illustrate efficiency and accuracy of the proposed method.
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