A 2nd-Order Numerical Scheme for Fractional Ordinary Differential Equation Systems

Finite Difference Methods. Theory and Applications - Lecture Notes in Computer Science ◽

10.1007/978-3-030-11539-5_6 ◽

2019 ◽

pp. 60-71

Author(s):

W. Li ◽

S. Wang

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Numerical Scheme ◽

Ordinary Differential Equation Systems

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Large ordinary differential equation systems and software

IEEE Control Systems Magazine ◽

10.1109/mcs.1982.1103756 ◽

1982 ◽

Vol 2 (4) ◽

pp. 24-30 ◽

Cited By ~ 34

Author(s):

A. Hindmarsh

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Ordinary Differential Equation Systems

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General order conditions for stochastic Runge-Kutta methods for both commuting and non-commuting stochastic ordinary differential equation systems

Applied Numerical Mathematics ◽

10.1016/s0168-9274(98)00042-7 ◽

1998 ◽

Vol 28 (2-4) ◽

pp. 161-177 ◽

Cited By ~ 42

Author(s):

K. Burrage ◽

P.M. Burrage

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Order Conditions ◽

General Order ◽

Runge Kutta ◽

Ordinary Differential Equation Systems

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An Adaptive, Highly Accurate and Efficient, Parker-Sochacki Algorithm for Numerical Solutions to Initial Value Ordinary Differential Equation Systems

SIAM Undergraduate Research Online ◽

10.1137/19s019115 ◽

2019 ◽

Vol 12 ◽

Author(s):

Jenna Guenther

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Numerical Solutions ◽

Initial Value ◽

Ordinary Differential Equation Systems

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Reply to “Comment on ‘Time-averaged properties of unstable periodic orbits and chaotic orbits in ordinary differential equation systems’ ”

Physical Review E ◽

10.1103/physreve.81.018202 ◽

2010 ◽

Vol 81 (1) ◽

Cited By ~ 1

Author(s):

Yoshitaka Saiki ◽

Michio Yamada

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Periodic Orbits ◽

Unstable Periodic Orbits ◽

Chaotic Orbits ◽

Ordinary Differential Equation Systems

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Sensitivity analysis of ordinary differential equation systems—A direct method

Journal of Computational Physics ◽

10.1016/0021-9991(76)90007-3 ◽

1976 ◽

Vol 21 (2) ◽

pp. 123-143 ◽

Cited By ~ 160

Author(s):

Robert P. Dickinson ◽

Robert J. Gelinas

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Sensitivity Analysis ◽

Direct Method ◽

A Direct Method ◽

Ordinary Differential Equation Systems

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Performance output tracking for cascaded heat partial differential equation‐ordinary differential equation systems subject to unmatched disturbance

International Journal of Robust and Nonlinear Control ◽

10.1002/rnc.5411 ◽

2021 ◽

Author(s):

Rui‐Li Wen ◽

Hongyinping Feng

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Partial Differential Equation ◽

Partial Differential ◽

Output Tracking ◽

Ordinary Differential Equation Systems

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A high order numerical scheme for variable order fractional ordinary differential equation

Applied Mathematics Letters ◽

10.1016/j.aml.2016.05.012 ◽

2016 ◽

Vol 61 ◽

pp. 88-94 ◽

Cited By ~ 16

Author(s):

Jianxiong Cao ◽

Yanan Qiu

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Numerical Scheme ◽

High Order ◽

Variable Order

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On the Numerical Solution of First Order Ordinary Differential Equation Systems

Functional Analysis, Calculus of Variations and Numerical Methods for Models in Physics and Engineering ◽

10.1201/9780429343315-29 ◽

2020 ◽

pp. 498-511

Author(s):

Fabio Silva Botelho

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Numerical Solution ◽

Order Ordinary Differential Equation ◽

First Order ◽

Ordinary Differential Equation Systems

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A block Krylov subspace time-exact solution method for linear ordinary differential equation systems

Numerical Linear Algebra with Applications ◽

10.1002/nla.1865 ◽

2013 ◽

Vol 20 (4) ◽

pp. 557-574 ◽

Cited By ~ 19

Author(s):

M.A. Botchev

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Exact Solution ◽

Solution Method ◽

Krylov Subspace ◽

Linear Ordinary Differential Equation ◽

Ordinary Differential Equation Systems

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Comment on “Time-averaged properties of unstable periodic orbits and chaotic orbits in ordinary differential equation systems”

Physical Review E ◽

10.1103/physreve.81.018201 ◽

2010 ◽

Vol 81 (1) ◽

Cited By ~ 5

Author(s):

Michael A. Zaks ◽

Denis S. Goldobin

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Periodic Orbits ◽

Unstable Periodic Orbits ◽

Chaotic Orbits ◽

Ordinary Differential Equation Systems

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