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Finite-difference schemes for a diffusion equation with fractional derivatives in a multidimensional domain

โœ Scribed by Abrashina-Zhadaeva, N. G.; Timoshchenko, I. A.


Book ID
121337984
Publisher
Springer
Year
2013
Tongue
English
Weight
327 KB
Volume
49
Category
Article
ISSN
0012-2661

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Explicit and implicit finite difference
โœ H.R. Ghazizadeh; M. Maerefat; A. Azimi ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 764 KB

In this paper, the numerical solution of fractional (non-integer)-order Cattaneo equation for describing anomalous diffusion has been investigated. Two finite difference schemes namely an explicit predictor-corrector and totally implicit schemes have been developed. In developing each scheme, a sepa