DOIONLINE 
DOIONLINE Publish In |
International Journal of Advances in Science, Engineering and Technology(IJASEAT)-IJASEAT |
 Journal Home Volume Issue |
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Issue |
Volume-8,Issue-4 ( Oct, 2020 ) | |||||||||
Paper Title |
Asymptotic Expansion and Extrapolation of Analytical Solution for Laplace Equation on a Disc | |||||||||
Author Name |
M. Issaoui, M. Kzaz, F. Maach | |||||||||
Affilition |
Faculty of Sciences and Technics Gueliz, Dept of Mathematics, Marrakech, Morocco | |||||||||
Pages |
44-48 | |||||||||
Abstract |
In this paper, we first approximate the analytical solution U of Laplace equation on a disc, by considering an appropriate sequence (UN)N : Then, we give an asymptotic expansion of the error U - UN; which allows to us to apply appropriate extrapolation transform. We give also numerical examples, which show the efficiency of the used method. Keywords - Asymptotic Expansion, Laplace Equation, Trapezoidal Rule, Extrapolation Methods | |||||||||
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