High Accuracy Algorithm For The Differential Equations Governing Anomalous Diffusion: Algorithm And Models For Anomalous Diffusion
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A01=Weihua Deng
A01=Zhijiang Zhang
Anomalous Diffusion
Author_Weihua Deng
Author_Zhijiang Zhang
Category=PBKJ
Category=PBKS
Category=PBUH
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fractional Operators
Functional Distribution
Numerical Algorithm
Product details
- ISBN 9789813142206
- Publication Date: 01 Feb 2019
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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The aim of this book is to extend the application field of 'anomalous diffusion', and describe the newly built models and the simulation techniques to the models.The book first introduces 'anomalous diffusion' from the statistical physics point of view, then discusses the models characterizing anomalous diffusion and its applications, including the Fokker-Planck equation, the Feymann-Kac equations describing the functional distribution of the anomalous trajectories of the particles, and also the microscopic model — Langevin type equation. The second main part focuses on providing the high accuracy schemes for these kinds of models, and the corresponding convergence and stability analysis.
