A Multistep Legendre--Gauss Spectral Collocation Method for Nonlinear Volterra Integral Equations

Chang-Tao Sheng; Zhong-Qing Wang; Ben-Yu Guo

doi:10.1137/130915200

A Multistep Legendre--Gauss Spectral Collocation Method for Nonlinear Volterra Integral Equations

SIAM Journal on Numerical Analysis ◽

10.1137/130915200 ◽

2014 ◽

Vol 52 (4) ◽

pp. 1953-1980 ◽

Cited By ~ 21

Author(s):

Chang-Tao Sheng ◽

Zhong-Qing Wang ◽

Ben-Yu Guo

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation

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An $hp$-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays

Mathematics of Computation ◽

10.1090/mcom/3023 ◽

2015 ◽

Vol 85 (298) ◽

pp. 635-666 ◽

Cited By ~ 1

Author(s):

Wang Zhong-qing ◽

Sheng Chang-tao

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Variable Delays

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Chebyshev spectral-collocation method for Volterra integral equations

Recent Advances in Scientific Computing and Applications - Contemporary Mathematics ◽

10.1090/conm/586/11637 ◽

2013 ◽

pp. 163-170 ◽

Cited By ~ 4

Author(s):

Zhendong Gu ◽

Yanping Chen

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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Chebyshev spectral collocation method for system of nonlinear Volterra integral equations

Numerical Algorithms ◽

10.1007/s11075-019-00679-w ◽

2019 ◽

Vol 83 (1) ◽

pp. 243-263 ◽

Cited By ~ 1

Author(s):

Zhendong Gu

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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Recovery of high order accuracy in spectral collocation method for linear Volterra integral equations of the third-kind with non-smooth solutions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113458 ◽

2021 ◽

Vol 392 ◽

pp. 113458

Author(s):

Xiaohua Ma ◽

Chengming Huang

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

High Order Accuracy ◽

Smooth Solutions ◽

Spectral Collocation ◽

Order Accuracy ◽

The Third ◽

Linear Volterra Integral Equations

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A multi-domain spectral collocation method for Volterra integral equations with a weakly singular kernel

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.05.006 ◽

2021 ◽

Author(s):

Zheng Ma ◽

Anatoly A. Alikhanov ◽

Chengming Huang ◽

Guoyu Zhang

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Singular Kernel ◽

Spectral Collocation ◽

Weakly Singular Kernel ◽

Weakly Singular

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Piecewise spectral collocation method for system of Volterra integral equations

Advances in Computational Mathematics ◽

10.1007/s10444-016-9490-z ◽

2016 ◽

Vol 43 (2) ◽

pp. 385-409 ◽

Cited By ~ 5

Author(s):

Zhendong Gu

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation

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A Chebyshev Spectral Collocation Method for Nonlinear Volterra Integral Equations with Vanishing Delays

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.130416.071217a ◽

2018 ◽

Vol 8 (2) ◽

pp. 233-260 ◽

Cited By ~ 1

Author(s):

Zhong-Qing Wang

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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A Domain Decomposition Chebyshev Spectral Collocation Method for Volterra Integral Equations

Journal of Mathematical Study ◽

10.4208/jms.v51n1.18.04 ◽

2018 ◽

Vol 51 (1) ◽

pp. 57-75

Author(s):

Hua Wu

Keyword(s):

Domain Decomposition ◽

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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Spectral collocation method for system of weakly singular Volterra integral equations

Advances in Computational Mathematics ◽

10.1007/s10444-019-09703-y ◽

2019 ◽

Vol 45 (5-6) ◽

pp. 2677-2699 ◽

Cited By ~ 1

Author(s):

Zhendong Gu

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Weakly Singular

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Legendre spectral-collocation method for Volterra integral equations with non-vanishing delay

CALCOLO ◽

10.1007/s10092-013-0083-7 ◽

2013 ◽

Vol 51 (1) ◽

pp. 151-174 ◽

Cited By ~ 10

Author(s):

Zhendong Gu ◽

Yanping Chen

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Vanishing Delay

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