Sinc-Galerkin method for solving a class of nonlinear two-point boundary value problems

Document Type: Research Paper

Authors

1 Iran University of Science and Technology.

2 Iran University of Science and Technology

Abstract

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.
 

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Volume 41, Issue 2
March and April 2015
Pages 333-352
  • Receive Date: 09 September 2013
  • Revise Date: 23 November 2013
  • Accept Date: 14 February 2014