A spectral collocation method for multidimensional nonlinear weakly singular Volterra integral equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.09.037 ◽

2018 ◽

Vol 331 ◽

pp. 52-63 ◽

Author(s):

Yunxia Wei ◽

Yanping Chen ◽

Xiulian Shi

Keyword(s):

Integral Equation ◽

Collocation Method ◽

Volterra Integral Equation ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Weakly Singular

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A spectral collocation method for a weakly singular Volterra integral equation of the second kind

Advances in Computational Mathematics ◽

10.1007/s10444-016-9451-6 ◽

2016 ◽

Vol 42 (5) ◽

pp. 1015-1030 ◽

Author(s):

Can Huang ◽

Martin Stynes

Keyword(s):

Integral Equation ◽

Collocation Method ◽

Volterra Integral Equation ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Weakly Singular

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Jacobi spectral collocation method for the approximate solution of multidimensional nonlinear Volterra integral equation

SpringerPlus ◽

10.1186/s40064-016-3358-z ◽

2016 ◽

Vol 5 (1) ◽

Author(s):

Yunxia Wei ◽

Yanping Chen ◽

Xiulian Shi ◽

Yuanyuan Zhang

Keyword(s):

Integral Equation ◽

Approximate Solution ◽

Collocation Method ◽

Volterra Integral Equation ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Nonlinear Volterra Integral Equation ◽

Jacobi 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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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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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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Numerical solutions for Fredholm integral equations of the second kind with weakly singular kernel using spectral collocation method

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.12.035 ◽

2019 ◽

Vol 349 ◽

pp. 314-324 ◽

Author(s):

Yin Yang ◽

Zhuyan Tang ◽

Yunqing Huang

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Numerical Solutions ◽

Spectral Collocation Method ◽

Singular Kernel ◽

Fredholm Integral Equations ◽

Spectral Collocation ◽

Weakly Singular Kernel ◽

Weakly Singular

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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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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 ◽

Author(s):

Zhendong Gu

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Weakly Singular

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A hybrid collocation method for a nonlinear Volterra integral equation with weakly singular kernel

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.01.034 ◽

2010 ◽

Vol 234 (9) ◽

pp. 2859-2869 ◽

Author(s):

Magda Rebelo ◽

Teresa Diogo

Keyword(s):

Integral Equation ◽

Collocation Method ◽

Volterra Integral Equation ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Nonlinear Volterra Integral Equation ◽

Weakly Singular

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Legendre spectral collocation method for volterra-hammerstein integral equation of the second kind

Acta Mathematica Scientia ◽

10.1016/s0252-9602(17)30060-7 ◽

2017 ◽

Vol 37 (4) ◽

pp. 1105-1114 ◽

Author(s):

Yunxia WEI ◽

Yanping CHEN

Keyword(s):

Integral Equation ◽

Collocation Method ◽

Spectral Collocation Method ◽

Hammerstein Integral Equation ◽

Spectral Collocation

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