Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A MATRIX FORMULATION OF THE TAU METHOD FOR FREDHOLM AND VOLTERRA LINEAR INTEGRO-DIFFERENTIAL EQUATIONS

  • Aliabadi, M.-Hosseini (Department of Mathematics, Tarbiat Modarres University) ;
  • Shahmorad, S. (Department of mathematics, Tarbiat Modarres University)
  • Published : 2002.05.01

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Abstract

In this paper we obtain the matrix Tau Method representation of a general boundary value problem for Fredholm and Volterra integro-differential equations of order $\nu$. Some theoretical results are given that simplify the application of the Tau Method. The application of the Tau Method to the numerical solution of such problems is shown. Numerical results and details of the algorithm confirm the high accuracy and user-friendly structure of this numerical approach.

Keywords

References

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