Progress in Fractional Differentiation & Applications
Article Title
On the l2 Stability of Crank-Nicolson Difference Scheme for Time Fractional Heat Equations
Abstract
In this work, the matrix stability of the finite difference scheme based on Crank Nicolson method, for solving time-fractional heat equations, is investigated. An iterative formula is presented for the coefficient matrices of the error equations. Upper bounds for l2− norms of the coefficient matrices are obtained by a new method based on matrix diagonalization. A detailed numerical analysis, including tables figures and error comparisons, are given to demonstrate the theoretical results
Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/pfda/040205
Recommended Citation
R. Bayramoglu Erguner, Serife and Karatay, Ibrahim
(2018)
"On the l2 Stability of Crank-Nicolson Difference Scheme for Time Fractional Heat Equations,"
Progress in Fractional Differentiation & Applications: Vol. 4:
Iss.
2, Article 5.
DOI: http://dx.doi.org/10.18576/pfda/040205
Available at:
https://digitalcommons.aaru.edu.jo/pfda/vol4/iss2/5