Sinc-Galerkin method for solving linear sixth-order boundary-value problems

El-Gamel, Mohamed; Cannon, John; Zayed, Ahmed

doi:10.1090/S0025-5718-03-01587-4

Sinc-Galerkin method for solving linear sixth-order boundary-value problems
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by Mohamed El-Gamel, John R. Cannon and Ahmed I. Zayed PDF

Math. Comp. 73 (2004), 1325-1343 Request permission

Abstract:

There are few techniques available to numerically solve sixth-order boundary-value problems with two-point boundary conditions. In this paper we show that the Sinc-Galerkin method is a very effective tool in numerically solving such problems. The method is then tested on examples with homogeneous and nonhomogeneous boundary conditions and a comparison with the modified decomposition method is made. It is shown that the Sinc-Galerkin method yields better results.

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