1.

Record Nr.

UNINA9910788400603321

Autore

Li Changpin

Titolo

Numerical methods for fractional calculus / / Changpin Li, Department of Mathematics, Shanghai University, China; Fanhai Zeng, Department of Mathematics, Shanghai University, China

Pubbl/distr/stampa

Boca Raton : , : CRC Press, , [2015]

©2015

ISBN

0-429-07563-4

Descrizione fisica

1 online resource (299 p.)

Collana

Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series ; ; v.24

Disciplina

515.83

Soggetti

Fractional integrals

Fractional calculus

Numerical analysis

Calculus

Applied Mathematics

Engineering & Applied Sciences

Mathematics

Physical Sciences & Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (pages 265-277) and index.

Nota di contenuto

Front Cover; Contents; Foreword; Preface; List of Figures; List of Tables; 1. Introduction to Fractional Calculus; 2. Numerical Methods for Fractional Integral and Derivatives; 3. Numerical Methods for Fractional Ordinary Differential Equations; 4. Finite Difference Methods for Fractional Partial Differential Equations; 5. Galerkin Finite Element Methods for Fractional Partial Differential Equations; Bibliography

Sommario/riassunto

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 ch