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.
Rezensionen / Stimmen
"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
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Illustrationen
12 s/w Abbildungen, 48 s/w Tabellen
48 Tables, black and white; 12 Illustrations, black and white
Maße
Höhe: 236 mm
Breite: 155 mm
Dicke: 20 mm
Gewicht
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 Klassifikation
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.
