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

Jingjun Zhao; Yang Cao; Yang Xu

doi:10.1007/s10915-015-0121-5

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 ◽

Cited By ~ 11

Author(s):

Jingjun Zhao ◽

Yang Cao ◽

Yang Xu

Keyword(s):

Differential Equations ◽

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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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 ◽

Cited By ~ 41

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 Pantograph Volterra Delay-Integro-Differential Equations

Journal of Scientific Computing ◽

10.1007/s10915-012-9595-6 ◽

2012 ◽

Vol 53 (3) ◽

pp. 672-688 ◽

Cited By ~ 41

Author(s):

Yunxia Wei ◽

Yanping Chen

Keyword(s):

Differential 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 ◽

Cited By ~ 34

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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Spectral collocation methods for nonlinear weakly singular Volterra integro-differential equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22314 ◽

2018 ◽

Vol 35 (2) ◽

pp. 576-596 ◽

Cited By ~ 2

Author(s):

Xiulian Shi ◽

Yunxia Wei ◽

Fenglin Huang

Keyword(s):

Differential Equations ◽

Collocation Methods ◽

Spectral Collocation ◽

Weakly Singular ◽

Spectral Collocation Methods

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Efficient spectral-collocation methods for a class of linear Fredholm integro-differential equations on the half-line

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.112894 ◽

2020 ◽

Vol 377 ◽

pp. 112894 ◽

Cited By ~ 3

Author(s):

Soufiane Benyoussef ◽

Azedine Rahmoune

Keyword(s):

Differential Equations ◽

Collocation Methods ◽

Half Line ◽

Spectral Collocation ◽

Spectral Collocation Methods

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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 ◽

Cited By ~ 3

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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Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods

Applied Mathematical Modelling ◽

10.1016/j.apm.2017.12.012 ◽

2018 ◽

Vol 56 ◽

pp. 424-448 ◽

Cited By ~ 38

Author(s):

Arman Dabiri ◽

Eric A. Butcher

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Fractional Differential Equations ◽

Collocation Methods ◽

Multiple Delays ◽

Spectral Collocation ◽

Fractional Differential ◽

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 ◽

Cited By ~ 18

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 ◽

Cited By ~ 33

Author(s):

Mahmoud A. Zaky

Keyword(s):

High Order ◽

Collocation Methods ◽

High Order Accuracy ◽

Smooth Solutions ◽

Spectral Collocation ◽

Order Accuracy ◽

Spectral Collocation Methods

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