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On the Galerkin and collocation methods for two-point boundary value problems using sinc bases

✍ Scribed by Adel Mohsen; Mohamed El-Gamel

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
272 KB
Volume
56
Category
Article
ISSN
0898-1221

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✦ Synopsis

This paper presents a study of the performance of the collocation and Galerkin methods using sinc basis functions for solving linear and nonlinear second-order two-point boundary value problems. The two methods have the linear systems solved by the Q-R method and have the nonlinear systems solved by Newton's method. This study shows that the collocation method performs better than the Galerkin method for the cases considered.

πŸ“œ SIMILAR VOLUMES

Spectral collocation methods for the pri
Spectral collocation methods for the primary two-point boundary value problem in modelling viscoelastic flows
✍ A. Karageorghis; T. N. Phillips; A. R. Davies πŸ“‚ Article πŸ“… 1988 πŸ› John Wiley and Sons 🌐 English βš– 433 KB

Expansions in terms of beam functions and Chebyshev polynomials are used to compute solutions to the primary two-point boundary value problem within a spectral collocation formulation. The performance of the methods is analysed in terms of accuracy and robustness relative to the level of non-lineari