✦ LIBER ✦
Some numerical experiments on high accuracy fast direct finite difference method for elliptic problems
✍ Scribed by Singh, Bani ;Hassan, Saleh M. ;Lal, Jia
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 439 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1069-8299
No coin nor oath required. For personal study only.
✦ Synopsis
A high accuracy finite difference scheme has been developed for solving some elliptic problems which appear in engineering and applied sciences. These include Laplace, Poisson, Helmholtz and related equations. The second-and fourth-order problems dealing with vibration of membranes and plates have also been examined. Numerically, the problem reduces to a block tridiagonal system which can be solved by suitably modifying the fast direct method developed by Hockney. Comparison has been made with results obtained from some alternative numerical methods or analytical methods whenever available