| Issue |
ITM Web Conf.
Volume 22, 2018
The Third International Conference on Computational Mathematics and Engineering Sciences (CMES2018)
|
|
|---|---|---|
| Article Number | 01015 | |
| Number of page(s) | 5 | |
| DOI | https://doi.org/10.1051/itmconf/20182201015 | |
| 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: adiguzel.dosiyev@emu.edu.tr
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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