Finite Difference Methods for Fractional Diffusion Equations: One-Dimensional Time-Dependent Problems
Author:   Ercília Sousa
Publisher:   Springer Nature Switzerland AG
ISBN:  

9783032112217


Pages:   226
Publication Date:   06 January 2026
Format:   Paperback
Availability:   In Print   Availability explained
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Finite Difference Methods for Fractional Diffusion Equations: One-Dimensional Time-Dependent Problems


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Author:   Ercília Sousa
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
ISBN:  

9783032112217


ISBN 10:   3032112214
Pages:   226
Publication Date:   06 January 2026
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Prelude.- Fractional derivatives: fundamental concepts.- A governing equation for Lévy flights.- Consistency, stability and convergence of numerical methods.- Fractional differential equations in unbounded domains.- Fractional differential equations in bounded domains: absorbing boundaries.- Fractional differential equations in bounded domains: reflecting boundaries.- The road ahead.- References.

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Author Information

Ercília Sousa is a Full Professor in the Department of Mathematics at the University of Coimbra, where she also completed her degree in pure mathematics. After receiving a DPhil from the University of Oxford, on numerical analysis, she joined the Research Center for Mathematics at the University of Coimbra. Her research interests are broadly in numerical analysis and partial differential equations, with a recent focus on numerical methods for fractional diffusion equations.

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