A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Neumann boundary value conditions

✍ Scribed by Ling-yun Zhang; Zhi-zhong Sun

• Publisher: John Wiley and Sons
• Year: 2003
• Tongue: English
• Weight: 147 KB
• Volume: 20
• Category: Article
• ISSN: 0749-159X
• DOI: 10.1002/num.10088

✦ Synopsis

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~∞~‐norm. A numerical example is given. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 20: 230–247, 2004