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Finite Difference Schemes for the "Parabolic" Equation in a Variable Depth Environment with a Rigid Bottom Boundary Condition

โœ Scribed by Akrivis, G. D.; Dougalis, V. A.; Zouraris, G. E.

Book ID
118190466
Publisher
Society for Industrial and Applied Mathematics
Year
2001
Tongue
English
Weight
292 KB
Volume
39
Category
Article
ISSN
0036-1429

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A second-order accurate finite differenc
A second-order accurate finite difference scheme for a class of nonlocal parabolic equations with natural boundary conditions
โœ Zhi-Zhong Sun ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 386 KB

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 s