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Numerical Approximations to Fractional Derivatives and Their Applications
Date: 2015/12/11             Browse: 393

Speaker: Changpin Li

Time: Dec 11, 3:30pm - 4:30pm.

LocationLecture hall, Administration Center


Generally speaking, the typical fractional derivatives are Riemann-Liouville derivative and Caputo derivative. The former is often utilized by pure mathematicians and physicists whilst the latter by applied mathematicians and engineers. A special combination of the left and right Riemann-Liouville derivatives defines a Riesz derivative which is usually used to describe the anomalous diffusion in space. In this talk, we mainly introduce the high-order algorithms to approximate Caputo derivatives and Riesz derivatives. Then we applied the approximate schemes to the Caputo time fractional advection-diffusion equation and the Riesz spatial fractional advection-diffusion equation where the stability and convergence are analyzed. The displayed numerical experiments support the theoretical results.





李常品教授是International Journal of Bifurcation and Chaos,Fractional Differential Calculus,International Journal of Applied Mathematics等国际杂志的编委,是SCI杂志Phil. Trans. R. Soc. A (2013)、Int. J. Bifurcation Chaos (2012)、Eur. Phys. J.-ST (2011)的Lead Guest Editor,是美国《数学评论》和德国《数学文摘》评论员。在国内外重要学术期刊上发表SCI论文80多篇,SCI检索他人引用1200多次。


SIST-Seminar 15052