Numerical Solution of Troesch’s Problem by Sinc-Collocation Method - Applied Mathematics

AM > Vol.4 No.4, April 2013

Applied Mathematics

Volume 4, Issue 4 (April 2013)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Numerical Solution of Troesch’s Problem by Sinc-Collocation Method ()

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Download as PDF (Size: 191KB) PP. 707-712

DOI: 10.4236/am.2013.44098 4,878 Downloads 7,568 Views Citations

Author(s)

Mohamed El-Gamel

Affiliation(s)

Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

ABSTRACT

A new algorithm is presented for solving Troesch’s problem. The numerical scheme based on the sinc-collocation technique is deduced. The equation is reduced to systems of nonlinear algebraic equations. Some numerical experiments are made. Compared with the modified homotopy perturbation technique (MHP), the variational iteration method and the Adomian decomposition method. It is shown that the sinc-collocation method yields better results.

KEYWORDS

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

Share and Cite:

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.

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