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Higher order Chebyshev basis functions for two-point boundary value problems

✍ Scribed by O. M. Bamigbola; M. A. Ibiejugba; P. Onumanyi

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
481 KB
Volume
26
Category
Article
ISSN
0029-5981

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✦ Synopsis

Cubic basis functions in one dimension for the solution of two-point boundary value problems are constructed based on the zeros of Chebyshev polynomials of the first kind. A general formula is derived for the construction of polynomial basis functions of degree r, where 1 Qr< co. A Galerkin finite element method using the constructed basis functions for the cases r = 1,2 and 3 is successfully applied to three different types of problem including a singular perturbation problem.

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