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S. Chang and I. Chang, “A New Algorithm for Calculating One-Dimensional Differential Transform of Non-linear Functions,” Applied Mathematics and Computation, Vol. 195, No. 2, 2008, pp. 799-808. doi:10.1016/j.amc.2007.05.026

has been cited by the following article:

• 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.