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Home  >  Volume 26 (March 2014)

15. An Error Estimation of a numerical scheme analogous to the Tau method for initial value problems in Ordinary Differential Equations by Issa, K.and Jimoh, A.K. Volume26, (March, 2014), pp78 – 81.
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Abstract

In a recent paper, we constructed three classes of orthogonal polynomials for use in the perturbation term of a numerical integration scheme analogous to the tau method of Lanczos and Ortiz for ordinary differential equations. The resulting n-th degree approximant, y_n (x) of the solution y(x) of the differential equation was accurate and hence justi_ed the scheme. In this present paper, we report an error estimation of the method based on our earlier work. The estimate obtained is good as it correctly captures the order of the tau approximant.

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