Article ID Journal Published Year Pages File Type
4636143 Applied Mathematics and Computation 2006 13 Pages PDF
Abstract

Non-polynomial spline is used for the numerical solutions of the sixth order linear special case boundary value problems. The method presented in this paper has also been proved to be second order convergent. Two examples are considered for the numerical illustrations of the method developed. The method is also compared with those developed by El-Gamel et al. [M. El-Gamel, J.R. Cannon, J. Latour, A.I. Zayed, Sinc-Galerkin method for solving linear sixth-order boundary-value problems, Math. Comput. 73 (247) (2003) 1325–1343] and Siddiqi and Twizell [S.S. Siddiqi, E.H. Twizell, Spline solutions of linear sixth-order boundary value problems, Int. J. Comput. Math. 60 (1996) 295–304], as well and is observed to be better.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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