A symbolic procedure for deriving various finite difference approximations for the three-dimensional Poisson equation is described. Based on the software package Mathematica, we utilize for the formulation local solutions of the differential equation and obtain the standard second-order scheme (7-po
Finite-difference approximation of the exterior problem for poisson's equation
β Scribed by C.Nelson Dorny
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 910 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0021-9991
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π SIMILAR VOLUMES
The combined scheme of jinite elements and finite d@rences, which was dweloped by Yano and already succes.$ully applied to the two-dimensional Laplace equation, is applied to axisymmetric e.wterior$eldproblems, as studied by Wong and Ciric. In order to illustrate the validity of the proposed techniq
We present a domain decomposition method for computing finite difference solutions to the Poisson equation with infinite domain boundary conditions. Our method is a finite difference analogue of Anderson's Method of Local Corrections. The solution is computed in three steps. First, fine-grid solutio