𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Construction of nonstandard finite difference schemes for space-dimension-coupled PDEs

✍ Scribed by Ronald E. Mickens; P.M. Jordan

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
160 KB
Volume
23
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Relation between the time and space step
Relation between the time and space step-sizes in nonstandard finite-difference schemes for the Fisher equation
✍ Ronald E. Mickens πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 57 KB πŸ‘ 2 views

A positivity condition is used to obtain functional relations between the time and space step-sizes for nonstandard finite-difference models of the Fisher partial differential equation. An upper bound is also derived for the solutions to the difference equations.

Investigations of nonstandard, Mickens-t
Investigations of nonstandard, Mickens-type, finite-difference schemes for singular boundary value problems in cylindrical or spherical coordinates
✍ Ron Buckmire πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 152 KB

## Abstract It is well known that standard finite‐difference schemes for singular boundary value problems involving the Laplacian have difficulty capturing the singular (π’ͺ(1/__r__) or π’ͺ(log __r__)) behavior of the solution near the origin (__r__ = 0). New nonstandard finite‐difference schemes that

Strict Stability of High-Order Compact I
Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, I
✍ Saul S. Abarbanel; Alina E. Chertock πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 248 KB

Temporal, or "strict," stability of approximation to PDEs is much more difficult to achieve than the "classical" Lax stability. In this paper, we present a class of finitedifference schemes for hyperbolic initial boundary value problems in one and two space dimensions that possess the property of st