Numerical Methods for Fractional Calculus

ISBN-13: 9780367658793 / Angielski / Miękka / 2020 / 300 str.

Changpin Li; Fanhai Zeng

Opis

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

Recenzje

"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

Spis treści

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.

O autorze

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.