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Solution of sixth order boundary value problems using non-polynomial spline technique. (English) Zbl 1155.65361

Summary: Non-polynomial spline is used for the numerical solution 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 and A. I. Zayed, Math. Comput. 73, No. 247, 1325–1343 (2004; Zbl 1054.65085)] and Siddiqi and Twizell [S. S. Siddiqi and E. H. Twizell, Int. J. Comput. Math. 60, No. 3–4, 295–304 (1996; Zbl 1001.65523)], as well and is observed to be better.

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
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