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A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation

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arxiv 1610.02661 v1 pith:U2TXMQRG submitted 2016-10-09 math.NA cs.NA

A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation

classification math.NA cs.NA
keywords diffusion-waveequationfractionalspace-timetemperedaccuratealgorithmsdesigned
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This paper focuses on providing the high order algorithms for the space-time tempered fractional diffusion-wave equation. The designed schemes are unconditionally stable and have the global truncation error $\mathcal{O}(\tau^2+h^2)$, being theoretically proved and numerically verified.

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