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A Characteristic Difference Scheme for Time-Fractional Heat Equations Based on the Crank-Nicholson Difference Schemes
Joint Authors
Karatay, Ibrahim
Bayramoglu, Serife R.
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-31
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider the numerical solution of a time-fractional heat equation, which is obtained from the standard diffusion equation by replacing the first-order time derivative with Riemann-Liouville fractional derivative of order α, where 0<α<1.
The main purpose of this work is to extend the idea on Crank-Nicholson method to the time-fractional heat equations.
We prove that the proposed method is unconditionally stable, and the numerical solution converges to the exact one with the order O(τ2+h2).
Numerical experiments are carried out to support the theoretical claims.
American Psychological Association (APA)
Karatay, Ibrahim& Bayramoglu, Serife R.. 2012. A Characteristic Difference Scheme for Time-Fractional Heat Equations Based on the Crank-Nicholson Difference Schemes. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-480541
Modern Language Association (MLA)
Karatay, Ibrahim& Bayramoglu, Serife R.. A Characteristic Difference Scheme for Time-Fractional Heat Equations Based on the Crank-Nicholson Difference Schemes. Abstract and Applied Analysis No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-480541
American Medical Association (AMA)
Karatay, Ibrahim& Bayramoglu, Serife R.. A Characteristic Difference Scheme for Time-Fractional Heat Equations Based on the Crank-Nicholson Difference Schemes. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-480541
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480541