Nabati, M., Jalalvand, M. (2017). Solution of Troesch's problem through double exponential Sinc-Galerkin method. Computational Methods for Differential Equations, 5(2), 141-157.
Mohammad Nabati; Mahdi Jalalvand. "Solution of Troesch's problem through double exponential Sinc-Galerkin method". Computational Methods for Differential Equations, 5, 2, 2017, 141-157.
Nabati, M., Jalalvand, M. (2017). 'Solution of Troesch's problem through double exponential Sinc-Galerkin method', Computational Methods for Differential Equations, 5(2), pp. 141-157.
Nabati, M., Jalalvand, M. Solution of Troesch's problem through double exponential Sinc-Galerkin method. Computational Methods for Differential Equations, 2017; 5(2): 141-157.
Solution of Troesch's problem through double exponential Sinc-Galerkin method
1Department of Basic Sciences, Abadan Faculty of Petroleum Engineering, Petroleum University of Technology, Abadan, Iran
2Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran
Receive Date: 04 January 2017,
Revise Date: 19 April 2017,
Accept Date: 22 April 2017
Abstract
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.
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