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On the l2 Stability of Crank-Nicolson Difference Scheme for Time Fractional Heat Equations |
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PP: 111-122 |
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doi:10.18576/pfda/040205
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Author(s) |
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Serife R. Bayramoglu Erguner,
Ibrahim Karatay,
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Abstract |
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| 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 |
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