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A new algorithm is presented for solving Troesch’sproblem. The numerical scheme based on the sinc-collocation technique isdeduced. The equation is reduced to systems of nonlinear algebraic equations.Some numerical experiments are made. Compared with the modified homotopyperturbation technique MHP, the variational iteration method and the Adomiandecomposition method. It is shown that the sinc-collocation method yieldsbetter results.

KEYWORDS

Sinc Function; Collocation Method; Troesch’s Problem; Numerical Solution

Cite this paper

M. El-Gamel -Numerical Solution of Troesch’s Problem by Sinc-Collocation Method,- Applied Mathematics, Vol. 4 No. 4, 2013, pp. 707-712. doi: 10.4236-am.2013.44098.





Autor: Mohamed El-Gamel

Fuente: http://www.scirp.org/



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