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On the spectral properties of three-layer difference schemes for parabolic equations with nonlocal conditions

โœ Scribed by Sapagovas, M.

Book ID
119881669
Publisher
Springer
Year
2012
Tongue
English
Weight
257 KB
Volume
48
Category
Article
ISSN
0012-2661

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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