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HIGH-ORDER-ACCURATE DISCRETIZATION STENCIL FOR AN ELLIPTIC EQUATION

✍ Scribed by M. ARAD; A. YAKHOT; G. BEN-DOR

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
510 KB
Volume
23
Category
Article
ISSN
0271-2091

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✦ Synopsis

The coefficients for a nine-point high-order-accurate discretization scheme for an elliptic equation V2u -$u = r, (V2 is the two-dimensional Laplacian operator) are derived. Examples with Dirichlet and Neumann boundary condtions are considered. In order to demonstrate the high-order accuracy of the method, numerical results are compared with exact solutions.

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