Mapped spectral collocation methods for Volterra integral equations with noncompact kernels

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.10.001 ◽

2021 ◽

Vol 160 ◽

pp. 166-177

Author(s):

Yin Yang ◽

Zhuyan Tang

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Collocation Methods ◽

Spectral Collocation ◽

Spectral Collocation Methods

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A Note on Jacobi Spectral-Collocation Methods for Weakly Singular Volterra Integral Equations with Smooth Solutions

Journal of Computational Mathematics ◽

10.4208/jcm.1208-m3497 ◽

2013 ◽

Vol 31 (1) ◽

pp. 47-56 ◽

Author(s):

Yanping Chen

Keyword(s):

Integral Equations ◽

Volterra Integral Equations ◽

Collocation Methods ◽

Smooth Solutions ◽

Spectral Collocation ◽

Weakly Singular ◽

Spectral Collocation Methods

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Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel

Mathematics of Computation ◽

10.1090/s0025-5718-09-02269-8 ◽

2010 ◽

Vol 79 (269) ◽

pp. 147-147 ◽

Author(s):

Yanping Chen ◽

Tao Tang

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Volterra Integral Equations ◽

Collocation Methods ◽

Singular Kernel ◽

Spectral Collocation ◽

Weakly Singular Kernel ◽

Weakly Singular ◽

Spectral Collocation Methods

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Convergence analysis of spectral collocation methods for a class of weakly singular Volterra integral equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.10.100 ◽

2015 ◽

Vol 250 ◽

pp. 131-144

Author(s):

Xiaohua Ma ◽

Chengming Huang ◽

Xin Niu

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Volterra Integral Equations ◽

Collocation Methods ◽

Spectral Collocation ◽

Weakly Singular ◽

Spectral Collocation Methods

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Convergence analysis of Jacobi spectral collocation methods for Abel-Volterra integral equations of second kind

Frontiers of Mathematics in China ◽

10.1007/s11464-012-0170-0 ◽

2012 ◽

Vol 7 (1) ◽

pp. 69-84 ◽

Author(s):

Xianjuan Li ◽

Tao Tang

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Volterra Integral Equations ◽

Collocation Methods ◽

Spectral Collocation ◽

Spectral Collocation Methods

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Convergence analysis of the spectral collocation methods for two-dimensional nonlinear weakly singular Volterra integral equations*

Lithuanian Mathematical Journal ◽

10.1007/s10986-018-9387-2 ◽

2018 ◽

Vol 58 (1) ◽

pp. 75-94 ◽

Author(s):

Xiulian Shi ◽

Yunxia Wei

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Volterra Integral Equations ◽

Collocation Methods ◽

Two Dimensional ◽

Spectral Collocation ◽

Weakly Singular ◽

Spectral Collocation Methods

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Supergeometric Convergence of Spectral Collocation Methods for Weakly Singular Volterra and Fredholm Integral Equations with Smooth Solutions

Journal of Computational Mathematics ◽

10.4208/jcm.1110-m11si06 ◽

2011 ◽

Vol 29 (6) ◽

pp. 698-719 ◽

Author(s):

Can Huang

Keyword(s):

Integral Equations ◽

Collocation Methods ◽

Fredholm Integral Equations ◽

Smooth Solutions ◽

Spectral Collocation ◽

Weakly Singular ◽

Spectral Collocation Methods

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Error analysis of Jacobi spectral collocation methods for Fredholm-Hammerstein integral equations with weakly singular kernel

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1515428 ◽

2018 ◽

Vol 96 (6) ◽

pp. 1230-1253 ◽

Author(s):

Bijaya Laxmi Panigrahi

Keyword(s):

Error Analysis ◽

Integral Equations ◽

Collocation Methods ◽

Singular Kernel ◽

Spectral Collocation ◽

Weakly Singular Kernel ◽

Hammerstein Integral Equations ◽

Weakly Singular ◽

Spectral Collocation Methods

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Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.01.046 ◽

2019 ◽

Vol 357 ◽

pp. 103-122 ◽

Author(s):

Mahmoud A. Zaky

Keyword(s):

Collocation Methods ◽

High Order Accuracy ◽

Smooth Solutions ◽

Spectral Collocation ◽

Order Accuracy ◽

Spectral Collocation Methods

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Super-convergence analysis of collocation methods for linear and nonlinear third-kind Volterra integral equations with non-compact operators

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126562 ◽

2022 ◽

Vol 412 ◽

pp. 126562

Author(s):

Huiming Song ◽

Zhanwen Yang ◽

Yu Xiao

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Compact Operators ◽

Volterra Integral Equations ◽

Collocation Methods ◽

Linear And Nonlinear ◽

Super Convergence

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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 ◽

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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