The numerical solution of fractional differential equations: Speed versus accuracy

被引：0

作者：

Neville J. Ford

A. Charles Simpson

机构：

[1] Chester College,Department of Mathematics

来源：

Numerical Algorithms | 2001年 / 26卷

关键词：

fractional differential equations; numerical methods; fixed memory principle;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper is concerned with the development of efficient algorithms for the approximate solution of fractional differential equations of the form Dαy(t)=f(t,y(t)), α∈R+−N.(†)

引用

页码：333 / 346

页数：13

共 10 条

[1]

Baker C.T.H.(1987)FFT techniques in the numerical solution of convolution equations J. Comput. Appl. Math. 20 5-24

[2]

Derakhshan M.S.(1967)Linear models of dissipation whose Q is almost frequency independent II Geophys. J. Roy. Astronom. Soc. 13 529-539

[3]

Caputo M.(1997)An algorithm for the numerical solution of differential equations of fractional order Elect. Trans. Numer. Anal. 5 1-1

[4]

Diethelm K.(1997)Numerical approximation of finite-part integrals with generalised compound quadrature formulae IMA J. Numer. Anal. 17 479-493

[5]

Diethelm K.(1997)Numerical solution of fractional order differential equations by extropolation Numer. Algorithms 16 231-253

[6]

Diethelm K.(1986)Discretized fractional calculus SIAM J. Math. Anal. 17 704-719

[7]

Walz G.(1985)Fractional linear multistep methods for Abel–Volterra integral equations of the second kind Math. Comp. 45 463-469

[8]

Lubich C.(1988)Convolution quadrature and discretized operational calculus. II Numer. Math. 52 413-425

[9]

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[10]

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