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Finite Difference Methods for Fractional Diffusion Equations: One-Dimensional Time-Dependent Problems

Finite Difference Methods for Fractional Diffusion Equations: One-Dimensional Time-Dependent Problems

Paperback

Series: Lecture Notes in Mathematics, Book 2389

General Mathematics

ISBN10: 3032112214
ISBN13: 9783032112217
Publisher: Springer
Published: Jan 6 2026
Pages: 226
Weight: 0.75
Height: 0.51 Width: 6.14 Depth: 9.21
Language: English
This book provides a self-contained introduction to finite difference methods for time-dependent space-fractional diffusion equations, emphasizing their theoretical properties and practical computational implementation. It collects results previously dispersed throughout the literature, presenting them within a coherent unified framework. In addition to covering numerical methods for fractional diffusion equations, their exact solutions, and their connection to Lévy flights, it also offers an accessible overview of fundamental concepts related to Riemann-Liouville fractional derivatives.

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General Mathematics