Solution of Troesch s problem through double exponential SincGalerkin method

Sinc-Galerkin method based upon double exponential transformation for solving Troesch;s problem is given in this study. Properties of the Sinc-Galerkin approach are utilized to reduce the solution of nonlinear two-point boundary value problem to same nonlinear algebraic equations, also, the matrix form of the nonlinear algebraic equations is obtained.The error bound of the method is found. Moreover, in order to illustrate the accuracy of presented method, the obtained results compare with numerical results in the open literature. The demonstrated results confirm that proposed method is considerably efficient and accurate.