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Frobenius-Chebyshev polynomial approximations with a priori error bounds for nonlinear initial value differential problems

✍ Scribed by B. Chen; R.Garcia Bolós; L. Jódar

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
578 KB
Volume
41
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we present a method for approximating the solution of initial value ordinary differential equations with a priori error bounds. The method is based on a Chebyshev perturbation of the original differential equation together with the Frobenius method for solving the equation. Chebyshev polynomials in two variables are developed. Numerical results are presented.

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