Changpin Li, Fanhai Zeng

Numerical Methods for Fractional Calculus (eBook, PDF)

• Format: PDF

Produktbeschreibung

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 fractional differential equations relevant to scientific and engineering applications, and presents the finite element method for solving fractional PDEs. Many numerical examples support the theoretical analyses and MATLAB functions are available on the book's CRC Press web page.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 300
• Erscheinungstermin: 19. Mai 2015
• Englisch
• ISBN-13: 9781482253818
• Artikelnr.: 42941230

Autorenporträt

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.

Inhaltsangabe

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.