Article ID Journal Published Year Pages File Type
4628346 Applied Mathematics and Computation 2014 6 Pages PDF
Abstract

This paper generalizes Single-Term Walsh Series method for solving systems of linear Volterra integral equations of the second kind. Using the properties of Walsh functions, this method reduces these types of equations to a linear system of algebraic equations. In addition, this method (i) does not require any operational matrices, (ii) needs less computational effort, (iii) gives both piecewise constant and discrete solution, (iv) yields good agreement with exact solutions. Convergence results and error analysis are discussed. Numerical examples are presented to illustrate the computational efficiency of the method.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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