Numerical Methods for Fractional Partial Differential Equations: Difference Methods for time fractional diffusion equations

Son, YongChol; Ryang, GukChol; Ri, KwanHung

ISBN 10: 6206771571 / ISBN 13: 9786206771579

Published by Scholars' Press, 2025

About this Item

Seller Inventory # I-9786206771579

Bibliographic Details

• Title: Numerical Methods for Fractional Partial Differential Equations: Difference Methods for time fractional diffusion equations
• Publisher: Scholars' Press
• Publication Date: 2025
• Language: English
• ISBN 10: 6206771571
• ISBN 13: 9786206771579
• Binding: Soft cover
• Condition: New

About this title

Synopsis

In this book, we describe the definition and the properties of fractional derivative and fractional integral and the approximation methods of fractional derivative and give the solutions of some time-fractional diffusion equations by the difference method.The main aspects of the analysis of difference equations are stability, convergence and error estimations.The essential difference from the other books is that for some fractional diffusion equations with nonlocal boundary conditions as well as ones with classical boundary conditions, stability and error estimates of the difference equations in uniform and graded grids, respectively, are given and computational examples are given to show the validity of the theory.