An Efficient Numerical Algorithm for Fractional Differential Equations

Authored by: Ram K. Pandey , Neelam Tiwari , Harendra Singh

Handbook of Fractional Calculus for Engineering and Science

Print publication date:  February  2022
Online publication date:  February  2022

Print ISBN: 9781032047799
eBook ISBN: 9781003263517
Adobe ISBN:

10.1201/9781003263517-7

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Abstract

This chapter describes construction of a numerical scheme to obtain the numerical solution of fractional differential equations (FDEs). The scheme is based on the generalized Taylor’s series and standard Runge–Kutta method, and FDEs with fractional derivatives in the Caputo sense are considered. FDEs have wide areas of application in science and engineering, such as convection-diffusion problems, plasma physics, mechanics, polymer physics and rheology, diffraction theory, and regular variations in thermodynamics.

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