Fractional Differential Equations : : Finite Difference Methods / / Zhi-Zhong Sun, Guang-hua Gao.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2020
• VerfasserIn: Sun, Zhi-Zhong,; Gao, Guang-hua,
• MitwirkendeR: China Science Publishing & Media Ltd.,; Gao, Guang-hua,; Sun, Zhi-zhong,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2020]; ©2020
• Year of Publication: 2020
• Language: English
• Physical Description: 1 online resource (XVI, 380 p.)
• Other title: Frontmatter --; Preface --; Contents --; 1 Fractional derivatives and numerical approximations --; 2 Difference methods for the time-fractional subdiffusion equations --; 3 Difference methods for the time-fractional wave equations --; 4 Difference methods for the space-fractional partial differential equations --; 5 Difference methods for the time-space-fractional differential equations --; 6 Difference methods for the time distributed-order subdiffusion equations --; A The Matlab code of sum-of-exponentials approximations for the kernel t−α in the Caputo fractional derivative --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110616064; 9783110696288; 9783110696271; 9783110704716; 9783110704518; 9783110704846; 9783110704662
• DOI: 10.1515/9783110616064
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Zhi-Zhong Sun, Guang-hua Gao.

Starting with an introduction to fractional derivatives and numerical approximations, this book presents finite difference methods for fractional differential equations, including time-fractional sub-diffusion equations, time-fractional wave equations, and space-fractional differential equations, among others. Approximation methods for fractional derivatives are developed and approximate accuracies are analyzed in detail.