Convergence Analysis of Spectral Collocation Methods for a Singular Differential Equation

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902381024 ◽

2003 ◽

Vol 41 (6) ◽

pp. 2333-2349 ◽

Author(s):

Weizhang Huang ◽

Heping Ma ◽

Weiwei Sun

Keyword(s):

Differential Equation ◽

Convergence Analysis ◽

Collocation Methods ◽

Singular Differential Equation ◽

Spectral Collocation ◽

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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The Global Behavior of Finite Difference-Spatial Spectral Collocation Methods for a Partial Integro-differential Equation with a Weakly Singular Kernel

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2013.1111nm ◽

2013 ◽

Vol 6 (3) ◽

pp. 556-570 ◽

Author(s):

Jie Tang and Da Xu

Keyword(s):

Differential Equation ◽

Finite Difference ◽

Collocation Methods ◽

Singular Kernel ◽

Global Behavior ◽

Spectral Collocation ◽

Weakly Singular Kernel ◽

Integro Differential Equation ◽

Weakly Singular ◽

Spectral Collocation Methods

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Spectral collocation methods for nonlinear coupled time fractional Nernst–Planck equations in two dimensions and its convergence analysis

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.12.018 ◽

2019 ◽

Vol 78 (5) ◽

pp. 1431-1449 ◽

Author(s):

Yin Yang ◽

Wanying Qiao ◽

Jindi Wang ◽

Shangyou Zhang

Keyword(s):

Convergence Analysis ◽

Two Dimensions ◽

Collocation Methods ◽

Spectral Collocation ◽

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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Crank–Nicolson and Legendre spectral collocation methods for a partial integro-differential equation with a singular kernel

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.09.034 ◽

2019 ◽

Vol 349 ◽

pp. 197-206

Author(s):

Akbar Mohebbi

Keyword(s):

Differential Equation ◽

Collocation Methods ◽

Singular Kernel ◽

Spectral Collocation ◽

Integro Differential Equation ◽

Spectral Collocation Methods ◽

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Convergence Analysis of the Legendre Spectral Collocation Methods for Second Order Volterra Integro-Differential Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2011.m1028 ◽

2011 ◽

Vol 4 (3) ◽

pp. 419-438 ◽

Author(s):

Yunxia Wei and Yanping Chen

Keyword(s):

Differential Equations ◽

Convergence Analysis ◽

Second Order ◽

Collocation Methods ◽

Spectral Collocation ◽

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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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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