The sinc–Galerkin method for solving Troesch’s problem

In this paper, the sinc–Galerkin method is applied for solving Troesch’s problem. The properties of the sinc procedure are utilized to reduce the computation of Troesch’s equation to nonlinear equations with unknown coefficients. The exponential convergence rate of the method, O(e−kN), is developed. We use some numerical examples to illustrate the accuracy and implementation of the method. The results are compared with homotopy perturbation method (HPM), Laplace method, perturbation method and spline method by using tables.