ITM Web Conf.
Volume 22, 2018The Third International Conference on Computational Mathematics and Engineering Sciences (CMES2018)
|Number of page(s)||5|
|Published online||17 October 2018|
A highly accurate corrected scheme in solving the Laplace's equation on a rectangle
Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey
* Corresponding author: firstname.lastname@example.org
A pointwise error estimation of the form 0(ρh8),h is the mesh size, for the approximate solution of the Dirichlet problem for Laplace's equation on a rectangular domain is obtained as a result of three stage (9-point, 5-point and 5-point) finite difference method; here ρ = ρ(x,y) is the distance from the current grid point (x,y,) ε Πh to the boundary of the rectangle Π.
© The Authors, published by EDP Sciences, 2018
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