Paper Title :Asymptotic Expansion and Extrapolation of Analytical Solution for Laplace Equation on a Disc

Author :M. Issaoui, M. Kzaz, F. Maach

Article Citation :M. Issaoui ,M. Kzaz ,F. Maach , (2020 ) " Asymptotic Expansion and Extrapolation of Analytical Solution for Laplace Equation on a Disc " , International Journal of Advances in Science, Engineering and Technology(IJASEAT) , pp. 44-48, Volume-8,Issue-4

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

Type : Research paper

Published : Volume-8,Issue-4

	|		PDF	|	Viewed - 39	|	Published on 2021-03-15