Abstract:For solving the time fractional conservation laws with discontinuous solutions such as shock waves, current feasible methods are the implicit finite-volume TVD schemes which employ the Lax-Friedrichs fluxes corrected by the limited slopes (see e.g. [12]). However, the schemes are hard to implement when the fractional order α is close to zero since in their implementation there are still no efficient methods to solve the strongly nonlinear spacial discrete systems at discrete times. We, aiming at increasing the… Show more
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