High performance computational algorithms for a class of integer and fractional evolutionary models
Evolutionary models that depend on space and time variables occur in many physical processes. A standard approach for such systems is based on a classical diffusion modeling which leads to integer derivatives in the time and spatial variables. However, it has been observed in the literature that in many single- and multi-phase flow cases, especially in complex porous media, it is appropriate to use anomalous sub-diffusion models. Such models can be described by a class of non-local in time fractional derivative partial differential equations (FPDEs). In various applications, such as reservoir ...
(For more, see "View full record.")