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Stability of High Order Accurate Difference Methods for Parabolic Equations with Boundary Conditions

โœ Scribed by Varah, J. M.

Book ID
118180940
Publisher
Society for Industrial and Applied Mathematics
Year
1971
Tongue
English
Weight
451 KB
Volume
8
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