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. |
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Start & End Page |
714 - 723 |
Received Date |
2011-08-25 |
Revised Date |
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Accepted Date |
2012-11-09 |
Full Text |
Download |
Keyword |
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Volume |
Vol.41 No.3 (JULY 2014) |
DOI |
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Citation |
Zarebnia M. and Sajjadian M., Convergence of the sinc-Galerkin method for the Bratu equation, Chiang Mai J. Sci., 2014; 41(3): 714-723. |
SDGs |
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