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

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