UID:
almafu_9959627081502883
Format:
1 online resource (XVI, 380 p.)
ISBN:
9783110616064
Content:
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.
Note:
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
,
In English.
Additional Edition:
ISBN 9783110615302
Additional Edition:
ISBN 9783110615173
Language:
English
DOI:
10.1515/9783110616064
URL:
https://doi.org/10.1515/9783110616064
URL:
https://www.degruyter.com/isbn/9783110616064
URL:
https://doi.org/10.1515/9783110616064
URL:
https://www.degruyter.com/isbn/9783110616064
Bookmarklink
