Solution of Troesch's problem through double exponential Sinc-Galerkin method

Document Type : Research Paper


1 Department of Basic Sciences, Abadan Faculty of Petroleum Engineering, Petroleum University of Technology, Abadan, Iran

2 Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran


Sinc-Galerkin method based upon double exponential transformation for solving Troesch's problem was given in this study. Properties of the Sinc-Galerkin approach were 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 was obtained.The error bound of the method was found. Moreover, in order to illustrate the accuracy of presented method, the obtained results compared with numerical results in the open literature. The demonstrated results confirmed that proposed method was considerably efficient and accurate.