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Parallel difference schemes with interface extrapolation terms for quasi-linear parabolic systems

✍ Scribed by Guang-wei Yuan; Xu-deng Hang; Zhi-qiang Sheng

Publisher: SP Science China Press
Year: 2007
Tongue: English
Weight: 311 KB
Volume: 50
Category: Article
ISSN: 1674-7283
DOI: 10.1007/s11425-007-0014-7

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## 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__~__