Higher order Chebyshev basis functions for two‐point boundary value problems | Zendy

Bamigbola O. M. | Zendy; Ibiejugba M. A. | Zendy; Onumanyi P. | Zendy

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

Author(s) -

Bamigbola O. M.,

Ibiejugba M. A.,

Onumanyi P.

Publication year - 1988

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620260203

Subject(s) - mathematics , basis function , chebyshev polynomials , basis (linear algebra) , galerkin method , boundary value problem , mathematical analysis , chebyshev filter , chebyshev nodes , finite element method , geometry , physics , thermodynamics

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 ≤ r < ∞. 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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