Space-fractional diffusion problems: modeling and numerical solution

2016. 10. 27. 10:15
H. épület 306-os terem
Izsák Ferenc (ELTE, Alkalmazott Analízis és Számításmatematikai Tsz.)

Abstract: Space-fractional diffusion processes were observed in the last decades in many real-life situations. To simulate such phenomena, we first need an appropriate model. It turned out that a classical topic, the so-called fractional-order calculus can be applied here. We also discuss some approaches for the numerical solution of the corresponding problems, both finite difference and finite element methods. The matrix transformation method is investigated in details. We also mention some open questions of the topic.