Numerical Methods for Fractional Calculus
1st Edition
Published on 19. May 2015
Book
Hardback
300 pages
978-1-4822-5380-1 (ISBN)
Description
Numerical Methods for Fractional Calculus presents numerical methods for fractional integrals and fractional derivatives, finite difference methods for fractional ordinary differential equations (FODEs) and fractional partial differential equations (FPDEs), and finite element methods for FPDEs.
The book introduces the basic definitions and properties of fractional integrals and derivatives before covering numerical methods for fractional integrals and derivatives. It then discusses finite difference methods for both FODEs and FPDEs, including the Euler and linear multistep methods. The final chapter shows how to solve FPDEs by using the finite element method.
This book provides efficient and reliable numerical methods for solving fractional calculus problems. It offers a primer for readers to further develop cutting-edge research in numerical fractional calculus. MATLAB (R) functions are available on the book's CRC Press web page.
The book introduces the basic definitions and properties of fractional integrals and derivatives before covering numerical methods for fractional integrals and derivatives. It then discusses finite difference methods for both FODEs and FPDEs, including the Euler and linear multistep methods. The final chapter shows how to solve FPDEs by using the finite element method.
This book provides efficient and reliable numerical methods for solving fractional calculus problems. It offers a primer for readers to further develop cutting-edge research in numerical fractional calculus. MATLAB (R) functions are available on the book's CRC Press web page.
Reviews / Votes
"The book provides a survey of many different methods for the numerical computation of Riemann-Liouville integrals of fractional order and of fractional derivatives of Riemann-Liouville, Caputo, and Weyl type. Algorithms for the solution of associated ordinary differential equations and certain special classes of partial differential equations are presented as well."-Zentralblatt MATH 1326
More details
Series
Language
English
Place of publication
Oxford
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
Product notice
sewn/stitched
Cloth over boards
Illustrations
48 s/w Tabellen, 12 s/w Abbildungen
48 Tables, black and white; 12 Illustrations, black and white
Dimensions
Height: 236 mm
Width: 155 mm
Thickness: 20 mm
Weight
567 gr
ISBN-13
978-1-4822-5380-1 (9781482253801)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Changpin Li | Fanhai Zeng
Numerical Methods for Fractional Calculus
Book
09/2020
1st Edition
Chapman & Hall/CRC
€73.80
Shipment within 15-20 days
Changpin Li | Fanhai Zeng
Numerical Methods for Fractional Calculus
E-Book
05/2015
Chapman and Hall
€67.49
Available for download
Changpin Li | Fanhai Zeng
Numerical Methods for Fractional Calculus
E-Book
05/2015
1st Edition
Chapman & Hall/CRC
€67.49
Available for download
Persons
Changpin Li is a full professor at Shanghai University. He earned his Ph.D. in computational mathematics from Shanghai University. Dr. Li's main research interests include numerical methods and computations for FPDEs and fractional dynamics. He was awarded the Riemann-Liouville Award for Best FDA Paper (theory) in 2012. He is on the editorial board of several journals, including Fractional Calculus and Applied Analysis, International Journal of Bifurcation and Chaos, and International Journal of Computer Mathematics.
Fanhai Zeng is visiting Brown University as a postdoc fellow. He earned his Ph.D. in computational mathematics from Shanghai University. Dr. Zeng's research interests include numerical methods and computations for FPDEs.
Fanhai Zeng is visiting Brown University as a postdoc fellow. He earned his Ph.D. in computational mathematics from Shanghai University. Dr. Zeng's research interests include numerical methods and computations for FPDEs.
Content
Introduction to Fractional Calculus. Numerical Methods for Fractional Integral and Derivatives. Numerical Methods for Fractional Ordinary Differential Equations. Finite Difference Methods for Fractional Partial Differential Equations. Galerkin Finite Element Methods for Fractional Partial Differential Equations. Bibliography. Index.