Determination of order in fractional diffusion equation
スポンサーリンク
概要
- 論文の詳細を見る
We prove formulae of reconstructing the order of fractional derivative in time in the fractional diffusion equation by time history at one fixed spatial point. The proof is based on asymptotics of the solution as t → 0 or t → ∞. The order is important for evaluating the anomaly of the diffusion in heterogeneous medium, and in particular, the order determines the decay rate of solution for large t. We show numerical tests for our reconstruction formula.
- Faculty of Mathematics, Kyushu Universityの論文
Faculty of Mathematics, Kyushu University | 論文
- Generalisation of Mack's formula for claims reserving with arbitrary exponents for the variance assumption
- EDITORIAL (Czech Japanese Seminar in Applied Mathematics 2010 : Praha/Telc, September 2010)
- Symbolic-numeric hybrid optimization for plant/controller integrated design in H∞ loop-shaping design
- Weierstrass representation for semi-discrete minimal surfaces, and comparison of various discretized catenoids
- A note on the quasi-additive bound for Boolean functions