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TVD finite difference schemes and artificial viscosity [PDF]

open access: yes
The total variation diminishing (TVD) finite difference scheme can be interpreted as a Lax-Wendroff scheme plus an upwind weighted artificial dissipation term. If a particular flux limiter is chosen and the requirement for upwind weighting is removed, an
Davis, S. F.
core   +1 more source

A k-Dimensional System of Fractional Finite Difference Equations

open access: yesAbstract and Applied Analysis, 2014
We investigate the existence of solutions for a k-dimensional system of fractional finite difference equations by using the Kranoselskii’s fixed point theorem. We present an example in order to illustrate our results.
Dumitru Baleanu   +2 more
doaj   +1 more source

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