Numerical Solution of Systems of Ordinary Differential Equations with the Tau Method: An Error Analysis

1 October 1982

journal article
Published by JSTOR in Mathematics of Computation

Vol. 39 (160) , 467-479
https://doi.org/10.2307/2007325

Abstract

The recursive formulation of the Tau method is extended to the case of systems of ordinary differential equations, and an error analysis is given. Upper and lower error bounds are given in one of the examples considered. The asymptotic behavior of the error compares in this case with that of the best approximant by algebraic polynomials for each of the components of the vector solution.

Keywords

This publication has 4 references indexed in Scilit:

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