An hp-Version Jacobi Spectral Collocation Method for the Third-Kind VIEs

Journal of Scientific Computing ◽

10.1007/s10915-021-01426-x ◽

2021 ◽

Vol 87 (1) ◽

Author(s):

Zhongqing Wang ◽

Min Zhou ◽

Yuling Guo

Keyword(s):

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

The Third ◽

Jacobi Spectral Collocation Method

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A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations

Numerical Algorithms ◽

10.1007/s11075-015-0087-2 ◽

2015 ◽

Vol 73 (1) ◽

pp. 91-113 ◽

Author(s):

A. H. Bhrawy

Keyword(s):

Collocation Method ◽

Spectral Collocation Method ◽

Diffusion Equations ◽

Spectral Collocation ◽

Jacobi Spectral Collocation Method

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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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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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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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An indirect convergent Jacobi spectral collocation method for fractional optimal control problems

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5968 ◽

2019 ◽

Author(s):

Yin Yang ◽

Jiaqi Zhang ◽

Huan Liu ◽

Aleksandr O. Vasilev

Keyword(s):

Optimal Control ◽

Collocation Method ◽

Optimal Control Problems ◽

Spectral Collocation Method ◽

Control Problems ◽

Spectral Collocation ◽

Fractional Optimal Control ◽

Fractional Optimal Control Problems ◽

Jacobi Spectral Collocation Method

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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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Recovery of high order accuracy in spectral collocation method for linear Volterra integral equations of the third-kind with non-smooth solutions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113458 ◽

2021 ◽

Vol 392 ◽

pp. 113458

Author(s):

Xiaohua Ma ◽

Chengming Huang

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

High Order Accuracy ◽

Smooth Solutions ◽

Spectral Collocation ◽

Order Accuracy ◽

The Third ◽

Linear Volterra Integral Equations

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Method of lines for multi-dimensional coupled viscous Burgers’ equations via nodal Jacobi spectral collocation method

Physica Scripta ◽

10.1088/1402-4896/ac1d82 ◽

2021 ◽

Author(s):

Bashar Zogheib ◽

Emran Tohidi ◽

Haci Mehmet Baskonus ◽

Carlo Cattani

Keyword(s):

Collocation Method ◽

Method Of Lines ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Burgers Equations ◽

Jacobi Spectral Collocation Method

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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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Shifted Jacobi spectral collocation method for solving two-sided fractional water wave models

The European Physical Journal Plus ◽

10.1140/epjp/i2017-11311-6 ◽

2017 ◽

Vol 132 (1) ◽

Author(s):

M. A. Abdelkawy ◽

Rubayyi T. Alqahtani

Keyword(s):

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Jacobi Spectral Collocation Method ◽

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