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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Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2019-0056 ◽

2020 ◽

Vol 12 (2) ◽

pp. 480-502

Author(s):

Xiulian Shi

Keyword(s):

Differential Equations ◽

Second Order ◽

Collocation Methods ◽

Spectral Collocation ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels ◽

Spectral Collocation Methods

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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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Spectral collocation methods for Volterra-integro differential equations with noncompact kernels

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.10.033 ◽

2013 ◽

Vol 244 ◽

pp. 115-124 ◽

Author(s):

Yingjun Jiang ◽

Jingtang Ma

Keyword(s):

Differential Equations ◽

Collocation Methods ◽

Spectral Collocation ◽

Spectral Collocation Methods

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Legendre Spectral Collocation Methods for Volterra Delay-Integro-Differential Equations

Journal of Scientific Computing ◽

10.1007/s10915-015-0121-5 ◽

2015 ◽

Vol 67 (3) ◽

pp. 1110-1133 ◽

Author(s):

Jingjun Zhao ◽

Yang Cao ◽

Yang Xu

Keyword(s):

Differential Equations ◽

Collocation Methods ◽

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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Legendre Spectral Collocation Methods for Pantograph Volterra Delay-Integro-Differential Equations

Journal of Scientific Computing ◽

10.1007/s10915-012-9595-6 ◽

2012 ◽

Vol 53 (3) ◽

pp. 672-688 ◽

Author(s):

Yunxia Wei ◽

Yanping Chen

Keyword(s):

Differential Equations ◽

Collocation Methods ◽

Spectral Collocation ◽

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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Petrov--Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations

SIAM Journal on Scientific Computing ◽

10.1137/16m1073121 ◽

2017 ◽

Vol 39 (3) ◽

pp. A1003-A1037 ◽

Author(s):

Ehsan Kharazmi ◽

Mohsen Zayernouri ◽

George Em Karniadakis

Keyword(s):

Differential Equations ◽

Collocation Methods ◽

Spectral Collocation ◽

Spectral Collocation Methods ◽

Distributed Order

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