Legendre spectral collocation method for neutral and high-order Volterra integro-differential equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2014.02.012 ◽

2014 ◽

Vol 81 ◽

pp. 15-29 ◽

Author(s):

Yunxia Wei ◽

Yanping Chen

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Integro Differential Equation

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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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Numerical solution of stochastic fractional integro-differential equation by the spectral collocation method

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.02.027 ◽

2017 ◽

Vol 321 ◽

pp. 336-347 ◽

Author(s):

Z. Taheri ◽

S. Javadi ◽

E. Babolian

Keyword(s):

Differential Equation ◽

Numerical Solution ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Integro Differential Equation

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Implementation of Legendre-Spectral-Collocation Method for Solving the Fractional Logistic Differential Equation

Journal of Computational and Theoretical Nanoscience ◽

10.1166/jctn.2016.5983 ◽

2016 ◽

Vol 13 (11) ◽

pp. 8370-8374

Author(s):

M. M Khader ◽

Abdullah Aljouiee

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation

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A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains

Computational and Applied Mathematics ◽

10.1007/s40314-019-0860-2 ◽

2019 ◽

Vol 38 (3) ◽

Author(s):

H. Azin ◽

F. Mohammadi ◽

J. A. Tenreiro Machado

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Riccati Differential Equation ◽

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A Direct Solver with $O(N)$ Complexity for Variable Coefficient Elliptic PDEs Discretized via a High-Order Composite Spectral Collocation Method

SIAM Journal on Scientific Computing ◽

10.1137/130918988 ◽

2014 ◽

Vol 36 (4) ◽

pp. A2023-A2046 ◽

Author(s):

A. Gillman ◽

P. G. Martinsson

Keyword(s):

Collocation Method ◽

Variable Coefficient ◽

Spectral Collocation Method ◽

Elliptic Pdes ◽

Spectral Collocation ◽

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An effective spectral collocation method for the direct solution of high-order ODEs

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.841 ◽

2005 ◽

Vol 22 (6) ◽

pp. 627-642 ◽

Author(s):

N. Mai-Duy

Keyword(s):

Collocation Method ◽

Spectral Collocation Method ◽

Direct Solution ◽

Spectral Collocation

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A direct multi-step Legendre-Gauss collocation method for high-order Volterra integro-differential equation

10.1063/1.4934331 ◽

2015 ◽

Author(s):

M. Tavassoli Kajani ◽

I. Gholampoor

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Integro Differential Equation

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Application of Legendre spectral-collocation method to delay differential and stochastic delay differential equation

AIP Advances ◽

10.1063/1.5016680 ◽

2018 ◽

Vol 8 (3) ◽

pp. 035301 ◽

Author(s):

Sami Ullah Khan ◽

Ishtiaq Ali

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Delay Differential Equation ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Stochastic Delay ◽

Stochastic Delay Differential Equation ◽

Delay Differential

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High-order orthogonal spline collocation method with graded meshes for two-dimensional fractional evolution integro-differential equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2021.1984435 ◽

2021 ◽

pp. 1-23

Author(s):

Leijie Qiao ◽

Bo Tang ◽

Da Xu ◽

Wenlin Qiu

Keyword(s):

Differential Equation ◽

Collocation Method ◽

Two Dimensional ◽

Spline Collocation ◽

Spline Collocation Method ◽

Integro Differential Equation ◽

Orthogonal Spline Collocation ◽

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The spectral collocation method with three different bases for solving a nonlinear partial differential equation arising in modeling of nonlinear waves

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.01.011 ◽

2011 ◽

Vol 53 (9-10) ◽

pp. 1865-1877 ◽

Author(s):

Mehdi Dehghan ◽

Farhad Fakhar-Izadi

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Collocation Method ◽

Nonlinear Waves ◽

Nonlinear Partial Differential Equation ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Partial Differential

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