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Convergence of the sinc-Galerkin method for the Bratu equation


Paper Type 
Contributed Paper
Title 
Convergence of the sinc-Galerkin method for the Bratu equation
Author 
M. Zarebnia and Mehri Sajjadian
Email 
zarebnia@uma.ac.ir; m_sajadian88@ms.tabrizu.ac.ir
Abstract:

                  The sinc-Galerkin method(SGM) is presented for solving Bratu's problem, some properties of the sinc-Galerkin method required for our subsequent development are given and are utilized to reduce the computation of solution of the Bratu equation to some algebraic equations. The exponential convergence rate of the method, , is developed. By considering the maximum absolute errors in the solution at uniform grid points and tabulated in tables, we conclude that our presented method (SGM) produces more accurate results in comparison with those obtained by Laplace (LM), LGSM, decomposition (DM) and B-spline (BSM) method.

 

Start & End Page 
714 - 723
Received Date 
2011-08-25
Revised Date 
Accepted Date 
2012-11-09
Full Text 
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Keyword 
Volume 
Vol.41 No.3 (JULY 2014)
DOI 
SDGs
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Chiang Mai Journal of Science

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