Dimensional reduction of nonlinear delay differential equations with periodic coefficients using Chebyshev spectral collocation

Venkatesh Deshmukh; Eric A. Butcher; Ed Bueler

doi:10.1007/s11071-007-9266-6

Dimensional reduction of nonlinear delay differential equations with periodic coefficients using Chebyshev spectral collocation

Nonlinear Dynamics ◽

10.1007/s11071-007-9266-6 ◽

2007 ◽

Vol 52 (1-2) ◽

pp. 137-149 ◽

Cited By ~ 23

Author(s):

Venkatesh Deshmukh ◽

Eric A. Butcher ◽

Ed Bueler

Keyword(s):

Differential Equations ◽

Dimensional Reduction ◽

Delay Differential Equations ◽

Spectral Collocation ◽

Periodic Coefficients ◽

Chebyshev Spectral Collocation ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Anh-pversion of the Chebyshev spectral collocation method for nonlinear delay differential equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22318 ◽

2018 ◽

Vol 35 (2) ◽

pp. 664-680

Author(s):

Tingting Meng ◽

Zhongqing Wang ◽

Lijun Yi

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Delay Differential Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Chebyshev Spectral Collocation Method ◽

Nonlinear Delay

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A Legendre–Gauss–Radau spectral collocation method for first order nonlinear delay differential equations

CALCOLO ◽

10.1007/s10092-015-0169-5 ◽

2015 ◽

Vol 53 (4) ◽

pp. 691-721 ◽

Cited By ~ 8

Author(s):

Lijun Yi ◽

Zhongqing Wang

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Delay Differential Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

First Order ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Legendre-Gauss Spectral Collocation Method for Second Order Nonlinear Delay Differential Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2014.1309nm ◽

2014 ◽

Vol 7 (2) ◽

pp. 149-178 ◽

Cited By ~ 4

Author(s):

Lijun Yi and Zhongqing Wang

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Delay Differential Equations ◽

Second Order ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Legendre-Gauss-Lobatto spectral collocation method for nonlinear delay differential equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2769 ◽

2013 ◽

Vol 36 (18) ◽

pp. 2476-2491 ◽

Cited By ~ 8

Author(s):

Yi Li-jun ◽

Liang Zi-qiang ◽

Wang Zhong-qing

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Delay Differential Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Exponential Decay Estimates For Some Components of Solutions to the Nonlinear Delay Differential Equations of the Living System Models

Siberian Mathematical Journal ◽

10.1134/s0037446620040126 ◽

2020 ◽

Vol 61 (4) ◽

pp. 715-724

Author(s):

N. V. Pertsev

Keyword(s):

Differential Equations ◽

Exponential Decay ◽

Delay Differential Equations ◽

Living System ◽

Decay Estimates ◽

System Models ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Oscillatory behavior of solutions of odd-order nonlinear delay differential equations

Advances in Difference Equations ◽

10.1186/s13662-020-02821-8 ◽

2020 ◽

Vol 2020 (1) ◽

Cited By ~ 1

Author(s):

Osama Moaaz

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Oscillatory Behavior ◽

Odd Order ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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An efficient numerical algorithm for solution of nonlinear delay differential equations

Journal of Physics Conference Series ◽

10.1088/1742-6596/1849/1/012014 ◽

2021 ◽

Vol 1849 (1) ◽

pp. 012014

Author(s):

Anil Kumar ◽

Giriraj Methi

Keyword(s):

Differential Equations ◽

Numerical Algorithm ◽

Delay Differential Equations ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Global solutions of a singular initial value problem to second order nonlinear delay differential equations

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2005.12.005 ◽

2006 ◽

Vol 43 (7-8) ◽

pp. 854-869 ◽

Cited By ~ 8

Author(s):

R.P. Agarwal ◽

Ch.G. Philos ◽

P.Ch. Tsamatos

Keyword(s):

Differential Equations ◽

Initial Value Problem ◽

Delay Differential Equations ◽

Global Solutions ◽

Second Order ◽

Initial Value ◽

Singular Initial Value Problem ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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Three positive solutions to initial-boundary value problems of nonlinear delay differential equations

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2009.1.14 ◽

2009 ◽

pp. 1-11

Author(s):

Yuming Wei ◽

Patricia J. Y. Wong

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Positive Solutions ◽

Delay Differential Equations ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Nonlinear Delay Differential Equations ◽

Initial Boundary Value ◽

Delay Differential ◽

Nonlinear Delay

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Nonlinear delay differential equations involving population growth

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2003.09.038 ◽

2004 ◽

Vol 40 (5-6) ◽

pp. 583-590 ◽

Cited By ~ 11

Author(s):

Y. Lenbury ◽

D.V. Giang

Keyword(s):

Differential Equations ◽

Population Growth ◽

Delay Differential Equations ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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