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 ◽

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 ◽

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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Chebyshev spectral collocation method for stochastic delay differential equations

Advances in Difference Equations ◽

10.1186/s13662-015-0447-1 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Zhengwei Yin ◽

Siqing Gan

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Delay Differential Equations ◽

Spectral Collocation Method ◽

Stochastic Delay Differential Equations ◽

Spectral Collocation ◽

Stochastic Delay ◽

Chebyshev Spectral Collocation ◽

Delay Differential ◽

Chebyshev Spectral Collocation Method

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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 ◽

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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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 ◽

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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Preconditioning Chebyshev Spectral Collocation Method for Elliptic Partial Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142994275998 ◽

1996 ◽

Vol 33 (6) ◽

pp. 2375-2400 ◽

Author(s):

Sang Dong Kim ◽

Seymour V. Parter

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Elliptic Partial Differential Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Partial Differential ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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Chebyshev operational matrix for solving fractional order delay-differential equations using spectral collocation method

Arab Journal of Basic and Applied Sciences ◽

10.1080/25765299.2019.1629543 ◽

2019 ◽

Vol 26 (1) ◽

pp. 342-353 ◽

Author(s):

Khalid K. Ali ◽

Mohammad A. Abd El Salam ◽

Emad M. Mohamed

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Fractional Order ◽

Delay Differential Equations ◽

Operational Matrix ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Delay Differential

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An $h$-$p$ version of the Chebyshev spectral collocation method for Volterra integro-differential equations with vanishing delays

Journal of Integral Equations and Applications ◽

10.1216/jie.2020.32.101 ◽

2020 ◽

Vol 32 (1) ◽

pp. 101-128

Author(s):

Lina Wang ◽

Lijun Yi ◽

Hongli Jia

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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High performance solution of partial differential equations discretized using a Chebyshev spectral collocation method

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(95)00029-1 ◽

1996 ◽

Vol 69 (1) ◽

pp. 71-80 ◽

Author(s):

Cliff Cyphers ◽

Marcin Paprzycki ◽

Andreas Karageorghis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

High Performance ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Partial Differential ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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A Legendre-Gauss collocation method for nonlinear delay differential equations

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2010.13.685 ◽

2010 ◽

Vol 13 (3) ◽

pp. 685-708 ◽

Author(s):

Zhong-Qing Wang ◽

◽

Li-Lian Wang ◽

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Delay Differential Equations ◽

Nonlinear Delay Differential Equations ◽

Delay Differential ◽

Nonlinear Delay

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