The standard L1 scheme is shown to be O(tau^(3-alpha)) accurate in the L2 norm for fractional wave equations with nonsmooth data, and a modified version reaches O(tau^2).
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Analysis of the L1 scheme for fractional wave equations with nonsmooth data
The standard L1 scheme is shown to be O(tau^(3-alpha)) accurate in the L2 norm for fractional wave equations with nonsmooth data, and a modified version reaches O(tau^2).