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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Bibliographic Details
Main Authors: Ibrahim Karatay, Serife R. Bayramoglu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/642989
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