Numerical Solutions of Fractional Differential Equations by Extrapolation
An extrapolation algorithm is considered for solving linear fractional differential equations in this paper, which is based on the direct discretization of the fractional differential operator. Numerical results show that the approximate solutions of this numerical method has the expected asymptotic expansions.
We wish to express our sincere gratitude to Professor Neville. J. Ford for his encouragement, discussions and valuable criticism during the research of this work.
- 2.Brezinski, C., Redivo Zaglia, M.: Extrapolation Methods, Theory and Practice. North Holland, Amsterdam (1992)Google Scholar
- 6.Diethelm, K.: Monotonicity results for a compound quadrature method for finite-part integrals. J. Inequalities Pure Appl. Math. 5(2) (2004). (Article 44)Google Scholar
- 13.Walz, G.: Asymptotics and Extrapolation. Akademie-Verlag, Berlin (1996)Google Scholar