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Iterated Block-Pulse Method for Solving Volterra Integral Equations

DOI: 10.5923/j.am.20120201.03

Keywords: Voltrra integral equations, Block-Pulse functions, Direct method, Iterated collocation method

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Abstract:

In this paper, an iterated method is presented to determine the numerical solution of linear Volterra integral equations of the second kind (VIEs2). This method initially uses the solution of the direct method to obtain the more accurate solution. The convergence and error analysis of this method are given. Finally, numerical examples illustrate efficiency and accuracy of the proposed method. Also, the numerical results of this method are compared with the results of direct method, collocation method and iterated collocation method.

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