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High-Order Compact Difference Scheme for the Numerical Solution of Time Fractional Heat Equations

A high-order finite difference scheme is proposed for solving time fractional heat equations. The time fractional derivative is described in the Riemann-Liouville sense. In the proposed scheme a new second-order discretization, which is based on Crank-Nicholson method, is applied for the time fracti...

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Detalles Bibliográficos
Autores principales: Karatay, Ibrahim, Bayramoglu, Serife R.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3947870/
https://www.ncbi.nlm.nih.gov/pubmed/24696040
http://dx.doi.org/10.1155/2014/642989