An $hp$-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels

Mathematics of Computation ◽

10.1090/mcom/3183 ◽

2017 ◽

Vol 86 (307) ◽

pp. 2285-2324 ◽

Author(s):

Zhong-qing Wang ◽

Yu-ling Guo ◽

Li-jun Yi

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels ◽

Jacobi Spectral Collocation Method

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An hp-Version Chebyshev Spectral Collocation Method for Nonlinear Volterra Integro-Differential Equations with Weakly Singular Kernels

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2018-0104 ◽

2019 ◽

Vol 12 (3) ◽

pp. 969-994

Author(s):

Hongli Jia

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Chebyshev Spectral Collocation ◽

Singular Kernels ◽

Chebyshev Spectral Collocation Method

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An hp-version Spectral Collocation Method for Nonlinear Volterra Integro-differential Equation with Weakly Singular Kernels

Journal of Scientific Computing ◽

10.1007/s10915-017-0373-3 ◽

2017 ◽

Vol 72 (2) ◽

pp. 647-678 ◽

Author(s):

Chuan-Li Wang ◽

Zhong-Qing Wang ◽

Hong-Li Jia

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Weakly Singular Kernels ◽

Integro Differential Equation ◽

Weakly Singular ◽

Singular Kernels

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Jacobi Spectral Collocation Method Based on Lagrange Interpolation Polynomials for Solving Nonlinear Fractional Integro-Differential Equations

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0038 ◽

2018 ◽

Vol 10 (6) ◽

pp. 1440-1458 ◽

Author(s):

Xingfa Yang

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Lagrange Interpolation ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Lagrange Interpolation Polynomials ◽

Jacobi Spectral Collocation Method ◽

Interpolation Polynomials

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Convergence analysis of the Jacobi spectral-collocation method for fractional integro-differential equations

Acta Mathematica Scientia ◽

10.1016/s0252-9602(14)60039-4 ◽

2014 ◽

Vol 34 (3) ◽

pp. 673-690 ◽

Author(s):

Yin YANG ◽

Yanping CHEN ◽

Yunqing HUANG

Keyword(s):

Differential Equations ◽

Convergence Analysis ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Jacobi Spectral Collocation Method

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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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Spline collocation method for integro-differential equations with weakly singular kernels

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.07.035 ◽

2006 ◽

Vol 197 (1) ◽

pp. 253-269 ◽

Author(s):

Arvet Pedas ◽

Enn Tamme

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Spline Collocation ◽

Weakly Singular Kernels ◽

Spline Collocation Method ◽

Weakly Singular ◽

Singular Kernels

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A Jacobi Spectral Collocation Method for Solving Fractional Integro-Differential Equations

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-020-00099-x ◽

2021 ◽

Author(s):

Qingqing Wu ◽

Zhongshu Wu ◽

Xiaoyan Zeng

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Jacobi Spectral Collocation Method

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Jacobi spectral collocation method for solving fractional pantograph delay differential equations

Engineering With Computers ◽

10.1007/s00366-020-01193-7 ◽

2020 ◽

Author(s):

Changqing Yang ◽

Jianhua Hou ◽

Xiaoguang Lv

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Delay Differential Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Jacobi Spectral Collocation Method ◽

Delay Differential

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

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-017-0487-7 ◽

2017 ◽

Vol 42 (1) ◽

pp. 297-314 ◽

Author(s):

Yin Yang ◽

Yanping Chen

Keyword(s):

Differential Equations ◽

Collocation Methods ◽

Spectral Collocation ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels ◽

Spectral Collocation Methods

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The Jacobi spectral collocation method for fractional integro-differential equations with non-smooth solutions

Electronic Research Archive ◽

10.3934/era.2020064 ◽

2020 ◽

Vol 28 (3) ◽

pp. 1161-1189

Author(s):

Yin Yang ◽

◽

Sujuan Kang ◽

Vasiliy I. Vasil'ev ◽

◽

...

Keyword(s):

Differential Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Smooth Solutions ◽

Spectral Collocation ◽

Jacobi Spectral Collocation Method

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