High Accuracy Algorithm For The Differential Equations Governing Anomalous Diffusion: Algorithm And Models For Anomalous Diffusion

by Weihua Deng , Zhijiang Zhang

Book Details

Format Hardback or Cased Book

ISBN-10 9813142200

ISBN-13 9789813142206

Publisher World Scientific Publishing Co Pte Ltd

Imprint World Scientific Publishing Co Pte Ltd

Country of Manufacture GB

Country of Publication GB

Publication Date Feb 1st, 2019

Print length 296 Pages

Weight 590 grams

Dimensions 23.10 x 16.30 x 2.30 cms

Product Classification: Numerical analysis

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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.

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.

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