Numerical Methods for Fractional Calculus

Changpin Li, Fanhai Zeng (Autoren)

Buch | Softcover

300 Seiten

2020
Chapman & Hall/CRC (Verlag)
978-0-367-65879-3 (ISBN)

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This book provides efficient and reliable numerical methods for solving fractional calculus problems. It focuses on numerical techniques for fractional integrals, derivatives, and differential equations. The book covers frequently used fractional integrals and derivatives, explains how to implement fractional finite difference methods in various

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.

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.

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.

Erscheinungsdatum	01.10.2020
Reihe/Serie	Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
Sprache	englisch
Maße	156 x 234 mm
Gewicht	453 g
Themenwelt	Mathematik / Informatik ► Informatik
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-367-65879-8 / 0367658798
ISBN-13	978-0-367-65879-3 / 9780367658793
Zustand	Neuware