Recurrence relations for the coefficients in Chebyshev series solutions of ordinary differential equations

Author:
T. S. Horner

Journal:
Math. Comp. **35** (1980), 893-905

MSC:
Primary 65L05; Secondary 65D20

DOI:
https://doi.org/10.1090/S0025-5718-1980-0572863-6

MathSciNet review:
572863

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Abstract: Systematic methods are presented for obtaining recurrence relations for the coefficients in Chebyshev series solutions of linear differential equations, of first to fourth order, with polynomial coefficients. Polynomial approximations to certain rational functions are also discussed.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1980-0572863-6

Article copyright:
© Copyright 1980
American Mathematical Society