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A second-order accurate finite difference scheme for a class of nonlocal parabolic equations with natural boundary conditions

✍ Scribed by Zhi-Zhong Sun

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
386 KB
Volume
76
Category
Article
ISSN
0377-0427

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✦ Synopsis

A difference scheme is derived for a class of nonlocal parabolic equations with natural boundary conditions by the method of reduction of order. It is shown that the scheme is uniquely solvable and unconditionally convergent with the convergence rate of order O(h 2 + z 2). A numerical example with some comparisons is presented.

πŸ“œ SIMILAR VOLUMES

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 πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 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__~__