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A unified approach to the Tau Method and Chebyshev series expansion techniques

✍ Scribed by M.K. El-Daou; E.L. Ortiz; H. Samara

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
519 KB
Volume
25
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this papex, we show the full equivalence between the recursive [1] and operational [2] formulatiom of the Tan Method. We then use such methods as analytic tools in the simulation of other numerical techniques for the approximate solution of differential equations, as Tma Methods with special perturbation terms. In this paper, we consider, as examples of this approach, two classical numerical techniques baaed on Chebyshev sexies expansions. We introduce s numerical parameter, the length of a method, to compare differextt numexical techniques with reference to a given basis.

Our results make possible the recursive formulation of a variety of series expmmion methods.

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