An improved Yuan–Agrawal method with rapid convergence rate for fractional differential equations

• Published in: Computational mechanics Vol. 63; no. 4; pp. 713 - 723
• Main Authors: Liu, Q. X., Chen, Y. M., Liu, J. K.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2019; Springer; Springer Nature B.V
• Subjects: Analysis; Classical and Continuum Physics; Computational Science and Engineering; Convergence; Decay rate; Derivatives; Differential equations; Engineering; Integrals; Mathematical analysis; Methods; Ordinary differential equations; Original Paper; Renminbi (China); Theoretical and Applied Mechanics; Fractional differential equation; Convergence rate; Yuan–Agrawal method; Gauss–Laguerre rule

Due to the merit of transforming fractional differential equations into ordinary differential equations, the Yuan and Agrawal method has gained a lot of research interests over the past decade. In this paper, this method is improved with major emphasis on enhancing the convergence rate. The key proc...