Numerical Methods for Fractional Calculus

Numerical Methods for Fractional Calculus by Changpin Li, published by CRC Press LLC on September 30, 2020, is a comprehensive resource that explores numerical methods for fractional integrals and derivatives. This edition spans 300 pages and is presented in English. The book covers essential topics such as finite difference methods for fractional ordinary differential equations and fractional partial differential equations, providing a structured approach to understanding these complex mathematical concepts.
Readers will find detailed discussions on the basic definitions and properties of fractional integrals and derivatives, as well as practical applications of numerical methods. The text includes finite difference methods, specifically the Euler and linear multistep methods, and concludes with an examination of solving fractional partial differential equations using the finite element method. This book serves as a foundational guide for those interested in advancing their knowledge in numerical fractional calculus, with MATLAB® functions available for further exploration on the CRC Press web page.
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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.
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