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Sinc-Galerkin method for solving linear sixth-order boundary-value problems |
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| Authors: | Mohamed El-Gamel John R. Cannon Ahmed I. Zayed. |
| Affiliation: | Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt ; Department of Mathematics, University of Central Florida, Orlando, Florida 32816 ; Department of Mathematical Sciences, DePaul University, Chicago, Illinois 60614 |
| 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. |
| Keywords: | Sinc functions Sinc-Galerkin method sixth-order differential equations numerical solutions |
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