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

Li, Changpin; Zeng, Fanhai

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.

About 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.

Edition details

• 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