𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A second-order linearized difference scheme for a strongly coupled reaction-diffusion system

✍ Scribed by Hai-Yan Cao; Zhi-Zhong Sun

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
244 KB
Volume
24
Category
Article
ISSN
0749-159X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A second-order accurate difference schem
A second-order accurate difference scheme for the two-dimensional Burgers' system
✍ Pei-Pei Xu; Zhi-Zhong Sun 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 290 KB

## Abstract In this article, a Crank‐Nicolson‐type finite difference scheme for the two‐dimensional Burgers' system is presented. The existence of the difference solution is shown by Brouwer fixed‐point theorem. The uniqueness of the difference solution and the stability and __L__~2~ convergence of

A second-order linearized difference sch
A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Neumann boundary value conditions
✍ Ling-yun Zhang; Zhi-zhong Sun 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 147 KB

## Abstract A linearized three‐level difference scheme on nonuniform meshes is derived by the method of the reduction of order for the Neumann boundary value problem of a nonlinear parabolic system. It is proved that the difference scheme is uniquely solvable and second‐order convergent in __L__~__

A note on second-order finite-difference
A note on second-order finite-difference schemes on uniform meshes for advection--diffusion equations
✍ Daniele Funaro 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 85 KB 👁 2 views

An artificial-viscosity finite-difference scheme is introduced for stabilizing the solutions of advectiondiffusion equations. Although only the linear one-dimensional case is discussed, the method is easily susceptible to generalization. Some theory and comparisons with other well-known schemes are