In this article, we develop the Sinc-Galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. Also several examples are solved to show the accuracy efficiency of the presented method. We compare the obtained numerical results with results of the other existing methods in the literature. The results of this paper confirm that our method is very fast, simple and considerably accurate.
Rashidinia, J., Nabati, M., & Ahanj, S. (2015). Sinc-Galerkin method for solving a class of nonlinear two-point boundary value problems. Bulletin of the Iranian Mathematical Society, 41(2), 333-352.
MLA
J. Rashidinia; M. Nabati; S. Ahanj. "Sinc-Galerkin method for solving a class of nonlinear two-point boundary value problems". Bulletin of the Iranian Mathematical Society, 41, 2, 2015, 333-352.
HARVARD
Rashidinia, J., Nabati, M., Ahanj, S. (2015). 'Sinc-Galerkin method for solving a class of nonlinear two-point boundary value problems', Bulletin of the Iranian Mathematical Society, 41(2), pp. 333-352.
VANCOUVER
Rashidinia, J., Nabati, M., Ahanj, S. Sinc-Galerkin method for solving a class of nonlinear two-point boundary value problems. Bulletin of the Iranian Mathematical Society, 2015; 41(2): 333-352.