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

This book aims to expand the application field of anomalous diffusion by introducing new models and simulation techniques. It discusses anomalous diffusion from a statistical physics perspective, presents models characterizing it, and discusses their applications, including the Fokker-Planck equation and Langevin type equation. The second main part focuses on providing high accuracy schemes for these models with convergence and stability analysis.

Format: Hardback
Length: 296 pages
Publication date: 01 February 2019
Publisher: World Scientific Publishing Co Pte Ltd

The aim of this comprehensive book is to significantly expand the application field of anomalous diffusion, presenting novel models and advanced simulation techniques. It begins by introducing anomalous diffusion from a statistical physics perspective, delving into the models that characterize this phenomenon and their diverse applications. These applications encompass the Fokker-Planck equation, which describes the probability distribution of particles' anomalous trajectories, as well as the Feymann-Kac equations, which elucidate the functional distribution of these trajectories. Additionally, the book explores the microscopic model, known as the Langevin type equation, which provides a detailed description of the motion of particles.

The second main section of the book is dedicated to presenting high-accuracy schemes for these complex models. It includes detailed discussions on the convergence and stability analysis of these schemes, ensuring their reliability and validity in various scientific and engineering contexts. By offering a comprehensive exploration of anomalous diffusion, this book serves as a valuable resource for researchers, scientists, and practitioners in fields such as physics, chemistry, biology, and materials science. It provides a solid foundation for understanding and applying these models to solve complex problems related to particle motion and diffusion in diverse environments.

Weight: 590g
Dimension: 231 x 163 x 23 (mm)
ISBN-13: 9789813142206