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1. Two-Dimensional PCBFs: Application to Nonlinear Volterra Integral Equations.

Author

Maleknejad, K., Sohrabi, S., and Baranji, B.

Subjects
*NONLINEAR systems, *INTEGRAL equations, *VOLTERRA equations, *MATRICES (Mathematics), *NUMERICAL analysis
Abstract

In this study, we present a direct method to solve nonlinear two-dimensional Volterra-Hammerestein integral equations in terms of two-dimensional 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. [ABSTRACT FROM AUTHOR]

Published
2009

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