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

Mohamed El-Gamel

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

DOI: 10.4236/am.2013.44098                

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

Conflicts of Interest

The authors declare no conflicts of interest.

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