𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The fundamental collocation method applied to the nonlinear poisson equation in two dimensions

✍ Scribed by Gary Burgess; Enayat Mahajerin

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
437 KB
Volume
27
Category
Article
ISSN
0045-7949

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

The optimal relaxation parameter for the
The optimal relaxation parameter for the SOR method applied to the Poisson equation in any space dimensions
✍ Shiming Yang; Matthias K. Gobbert πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 816 KB

## a b s t r a c t The finite difference discretization of the Poisson equation with Dirichlet boundary conditions leads to a large, sparse system of linear equations for the solution values at the interior mesh points. This problem is a popular and useful model problem for performance comparisons

Osculatory Interpolation in the Method o
Osculatory Interpolation in the Method of Fundamental Solution for Nonlinear Poisson Problems
✍ Karthik Balakrishnan; Palghat A. Ramachandran πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 121 KB

The Method of Fundamental Solution (also known as the F-Trefftz method or the singularity method) is an efficient numerical method for the solution of Laplace equation for both two-and three-dimensional problems. In recent years, the method has also been applied for the solution of Poisson equations

The Spectral Collocation Method for the
The Spectral Collocation Method for the Kinetic Equation with the Nonlinear Two-Dimensional Coulomb Collisional Operator
✍ Ildar.K. Khabibrakhmanov; George.V. Khazanov πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 136 KB

The spectral collocation method is used for numerical solution of the Fokker-Planck equation with nonlinear integro-differential coulomb collisional operator. The spectral collocation method in general gives superior results to the usually employed finite difference method approximation. High order