Fractional Differential Equations : : Finite Difference Methods / / 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, am...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2020] ©2020 |
Year of Publication: | 2020 |
Language: | English |
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Physical Description: | 1 online resource (XVI, 380 p.) |
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Sun, Zhi-Zhong, author. aut http://id.loc.gov/vocabulary/relators/aut Fractional Differential Equations : Finite Difference Methods / Zhi-Zhong Sun, Guang-hua Gao. Berlin ; Boston : De Gruyter, [2020] ©2020 1 online resource (XVI, 380 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 27. Jan 2023) Fractional differential equations. MATHEMATICS / Differential Equations / General. bisacsh China Science Publishing & Media Ltd., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gao, Guang-hua, author. aut http://id.loc.gov/vocabulary/relators/aut Gao, Guang-hua, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sun, Zhi-zhong, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DG Ebook Package English 2020 9783110696288 Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1 9783110696271 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 English 9783110704716 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 9783110704518 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 English 9783110704846 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 9783110704662 ZDB-23-DMA EPUB 9783110615302 print 9783110615173 https://doi.org/10.1515/9783110616064 https://www.degruyter.com/isbn/9783110616064 Cover https://www.degruyter.com/document/cover/isbn/9783110616064/original |
language |
English |
format |
eBook |
author |
Sun, Zhi-Zhong, Sun, Zhi-Zhong, Gao, Guang-hua, |
spellingShingle |
Sun, Zhi-Zhong, Sun, Zhi-Zhong, Gao, Guang-hua, Fractional Differential Equations : Finite Difference Methods / 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 |
author_facet |
Sun, Zhi-Zhong, Sun, Zhi-Zhong, Gao, Guang-hua, China Science Publishing & Media Ltd., China Science Publishing & Media Ltd., Gao, Guang-hua, Gao, Guang-hua, Gao, Guang-hua, Gao, Guang-hua, Sun, Zhi-zhong, Sun, Zhi-zhong, |
author_variant |
z z s zzs z z s zzs g h g ghg |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
China Science Publishing & Media Ltd., China Science Publishing & Media Ltd., Gao, Guang-hua, Gao, Guang-hua, Gao, Guang-hua, Gao, Guang-hua, Sun, Zhi-zhong, Sun, Zhi-zhong, |
author2_variant |
c s p m l cspml c s p m l cspml g h g ghg g h g ghg g h g ghg z z s zzs z z s zzs |
author2_role |
MitwirkendeR MitwirkendeR VerfasserIn VerfasserIn MitwirkendeR MitwirkendeR MitwirkendeR MitwirkendeR |
author_sort |
Sun, Zhi-Zhong, |
title |
Fractional Differential Equations : Finite Difference Methods / |
title_sub |
Finite Difference Methods / |
title_full |
Fractional Differential Equations : Finite Difference Methods / Zhi-Zhong Sun, Guang-hua Gao. |
title_fullStr |
Fractional Differential Equations : Finite Difference Methods / Zhi-Zhong Sun, Guang-hua Gao. |
title_full_unstemmed |
Fractional Differential Equations : Finite Difference Methods / Zhi-Zhong Sun, Guang-hua Gao. |
title_auth |
Fractional Differential Equations : Finite Difference Methods / |
title_alt |
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 |
title_new |
Fractional Differential Equations : |
title_sort |
fractional differential equations : finite difference methods / |
publisher |
De Gruyter, |
publishDate |
2020 |
physical |
1 online resource (XVI, 380 p.) Issued also in print. |
contents |
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 |
isbn |
9783110616064 9783110696288 9783110696271 9783110704716 9783110704518 9783110704846 9783110704662 9783110615302 9783110615173 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA372 |
callnumber-sort |
QA 3372 S86 42020 |
url |
https://doi.org/10.1515/9783110616064 https://www.degruyter.com/isbn/9783110616064 https://www.degruyter.com/document/cover/isbn/9783110616064/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515/.352 |
dewey-sort |
3515 3352 |
dewey-raw |
515/.352 |
dewey-search |
515/.352 |
doi_str_mv |
10.1515/9783110616064 |
oclc_num |
1191863539 |
work_keys_str_mv |
AT sunzhizhong fractionaldifferentialequationsfinitedifferencemethods AT chinasciencepublishingmedialtd fractionaldifferentialequationsfinitedifferencemethods AT gaoguanghua fractionaldifferentialequationsfinitedifferencemethods |
status_str |
n |
ids_txt_mv |
(DE-B1597)499019 (OCoLC)1191863539 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Ebook Package English 2020 Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 |
is_hierarchy_title |
Fractional Differential Equations : Finite Difference Methods / |
container_title |
Title is part of eBook package: De Gruyter DG Ebook Package English 2020 |
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