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Ali Tahmasbi

Assistant Professor of Applied Mathematics

Selected Publications

Tahmasbi, A., Fard, O.S. Numerical solution of linear Volterra integral equations system of the second kind (2008) Applied Mathematics and Computation, 201 (1-2), pp. 547-552.

DOI: 10.1016/j.amc.2007.12.041

There are several numerical approaches for solving linear Volterra integral equations system of the second kind. In this paper, we have presented a method for numerical solution of linear Volterra integral equations system based on the power series method, the major advantage of which is being derivative-free. Also, this method reproduces the analytical solution when the exact solutions are polynomial. The numerical results prove that the presented method is very effective and simple. The software used for the numerical calculations in this study was MATLAB®7.4. © 2008 Elsevier Inc. All rights reserved.

AUTHOR KEYWORDS: Linear Volterra integral equations system; Numerical method; Power series method
INDEX KEYWORDS: Integral equations; Linear equations; Numerical methods; Polynomials, Linear Volterra integral equations system; Power series method, Linear systems

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