Volume 9, Issue 1 (10-2010)
2010, 9(1): 41-48 |
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Numerical solution of Volterra integro-differential equation by direct method via block-pulse functions. Journal title 2010; 9 (1) :41-48
URL: http://jsci.khu.ac.ir/article-1-1333-en.html
URL: http://jsci.khu.ac.ir/article-1-1333-en.html
Abstract: (7282 Views)
A direct method to determine numerical solutions of linear Volterra integro-differential equations is presented in this paper.. This method is based on block-pulse functions and its operational matrix. By using this approach, the integro-differential equation reduces to a linear lower triangular system of algebraic equations which can be solved easily. Some numerical examples are provided to illustrate accuracy and computational efficiency of the method. MSC: 45J05 41A30
Keywords: Volterra integro-differential equation, Direct method, Numerical solution, Block-pulse functions, Operational matrix
Type of Study: S |
Published: 2010/10/15
Published: 2010/10/15
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