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)
R. Bayramoglu Erguner, Serife and Karatay, Ibrahim
"On the l2 Stability of Crank-Nicolson Difference Scheme for Time Fractional Heat Equations,"
Progress in Fractional Differentiation & Applications: Vol. 4
, Article 5.
Available at: https://dc.naturalspublishing.com/pfda/vol4/iss2/5