Numerical Methods for Fractional Calculus (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series) - Hardcover

Book 17 of 34: Chapman & Hall/CRC Numerical Analysis and Scientific Computing

Li, Changpin; Zeng, Fanhai

 
9781482253801: Numerical Methods for Fractional Calculus (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series)
Hardcover
ISBN 10: 1482253801 ISBN 13: 9781482253801
Publisher: Chapman and Hall/CRC, 2015

Synopsis

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® functions are available on the book’s CRC Press web page.

"synopsis" may belong to another edition of this title.

About the Author

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.

"About this title" may belong to another edition of this title.

Publisher
Chapman and Hall/CRC
Publication date
2015
Language
English
ISBN 10 
1482253801
ISBN 13 
9781482253801
Binding
Hardcover
Edition number
1
Number of pages
300

Other Popular Editions of the Same Title

9780367658793: Numerical Methods for Fractional Calculus (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series)

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ISBN 10:  0367658798 ISBN 13:  9780367658793
Publisher: Chapman and Hall/CRC, 2020
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