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This study proposes a scale-dependent finite difference method (S-FDM) to approximate the time fractional differential equations (FDEs), using Hausdroff metric to conveniently link the order of the time fractional derivative (α) and the non-uniform time intervals. The S-FDM is unconditional stable and exhibits a convergence rate on the order of 2-α. Numerical tests show that the S-FDM is superior...
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