TITLE:
Numerical Solution of Troesch’s Problem by Sinc-Collocation Method
AUTHORS:
Mohamed El-Gamel
KEYWORDS:
Sinc Function; Collocation Method; Troesch’s Problem; Numerical Solution
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.4,
April
30,
2013
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.