On linear stability of predictor–corrector algorithms for fractional differential equations
暂无分享,去创建一个
[1] A. Young,et al. The application of approximate product-integration to the numerical solution of integral equations , 1954, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[2] J. N. Lyness,et al. Numerical quadrature and asymptotic expansions , 1967 .
[3] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations , 2006 .
[4] Richard Weiss,et al. Asymptotic Expansions for Product Integration , 1973 .
[5] Ernst Hairer,et al. Fast numerical solution of weakly singular Volterra integral equations , 1988 .
[6] N. Ford,et al. A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations , 2013 .
[7] R. F. Cameron,et al. Product integration methods for second-kind Abel integral equations , 1984 .
[8] C. Lubich,et al. Runge-Kutta theory for Volterra and Abel integral equations of the second kind , 1983 .
[9] K. Diethelm,et al. The Fracpece Subroutine for the Numerical Solution of Differential Equations of Fractional Order , 2002 .
[10] C. Lubich. Discretized fractional calculus , 1986 .
[11] N. Ford,et al. Analysis of Fractional Differential Equations , 2002 .
[12] Kai Diethelm,et al. Efficient Solution of Multi-Term Fractional Differential Equations Using P(EC)mE Methods , 2003, Computing.
[13] Roberto Garrappa,et al. Fractional Adams-Moulton methods , 2008, Math. Comput. Simul..
[14] Kai Diethelm,et al. Numerical solution of fractional order differential equations by extrapolation , 1997, Numerical Algorithms.
[15] S. Elaydi. An introduction to difference equations , 1995 .
[16] Roberto Garrappa,et al. On some explicit Adams multistep methods for fractional differential equations , 2009 .
[17] C. Lubich,et al. A Stability Analysis of Convolution Quadraturea for Abel-Volterra Integral Equations , 1986 .
[18] Alan D. Freed,et al. Detailed Error Analysis for a Fractional Adams Method , 2004, Numerical Algorithms.
[19] Ernst Hairer,et al. FAST NUMERICAL SOLUTION OF NONLINEAR VOLTERRA CONVOLUTION EQUATIONS , 1985 .