A Spectral Collocation Method for Coupled System of Two Dimensional Abel Integral Equations of the Second Kind

Information Sciences Letters ◽

10.18576/isl/080302 ◽

2019 ◽

Vol 8 (3) ◽

pp. 89-93 ◽

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Coupled System ◽

Spectral Collocation Method ◽

Two Dimensional ◽

Spectral Collocation ◽

Abel Integral Equations

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An $hp$-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays

Mathematics of Computation ◽

10.1090/mcom/3023 ◽

2015 ◽

Vol 85 (298) ◽

pp. 635-666 ◽

Author(s):

Wang Zhong-qing ◽

Sheng Chang-tao

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Variable Delays

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Chebyshev spectral-collocation method for Volterra integral equations

Recent Advances in Scientific Computing and Applications - Contemporary Mathematics ◽

10.1090/conm/586/11637 ◽

2013 ◽

pp. 163-170 ◽

Author(s):

Zhendong Gu ◽

Yanping Chen

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.01.030 ◽

2007 ◽

Vol 201 (1) ◽

pp. 30-47 ◽

Author(s):

N. Mai-Duy ◽

R.I. Tanner

Keyword(s):

Boundary Value Problems ◽

Collocation Method ◽

Chebyshev Polynomials ◽

Boundary Value ◽

Spectral Collocation Method ◽

Two Dimensional ◽

Spectral Collocation

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Lagrange’s Spectral Collocation Method for Numerical Approximations of Two-Dimensional Space Fractional Diffusion Equation

American Journal of Computational Mathematics ◽

10.4236/ajcm.2018.82010 ◽

2018 ◽

Vol 08 (02) ◽

pp. 121-136

Author(s):

Hasib Uddin Molla ◽

Mushfika Hossain Nova

Keyword(s):

Diffusion Equation ◽

Collocation Method ◽

Dimensional Space ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Spectral Collocation Method ◽

Two Dimensional ◽

Numerical Approximations ◽

Spectral Collocation ◽

Space Fractional Diffusion Equation

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A Modified Discrete Spectral Collocation Method for First Kind Integral Equations with Logarithmic Kernel

Journal of Integral Equations and Applications ◽

10.1216/jiea/1181075777 ◽

1993 ◽

Vol 5 (4) ◽

pp. 547-567 ◽

Author(s):

J. Saranen

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Logarithmic Kernel

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A spectral collocation method with piecewise trigonometric basis functions for nonlinear Volterra–Fredholm integral equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124915 ◽

2020 ◽

Vol 370 ◽

pp. 124915 ◽

Author(s):

Sadegh Amiri ◽

Mojtaba Hajipour ◽

Dumitru Baleanu

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Basis Functions ◽

Spectral Collocation Method ◽

Fredholm Integral Equations ◽

Spectral Collocation ◽

Trigonometric Basis Functions

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Convergence and error analysis of a spectral collocation method for solving system of nonlinear Fredholm integral equations of second kind

Computational and Applied Mathematics ◽

10.1007/s40314-019-0897-2 ◽

2019 ◽

Vol 38 (3) ◽

Author(s):

Sami Ullah Khan ◽

Ishtiaq Ali

Keyword(s):

Error Analysis ◽

Integral Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Fredholm Integral Equations ◽

Spectral Collocation ◽

Nonlinear Fredholm Integral Equations

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Chebyshev spectral collocation method for system of nonlinear Volterra integral equations

Numerical Algorithms ◽

10.1007/s11075-019-00679-w ◽

2019 ◽

Vol 83 (1) ◽

pp. 243-263 ◽

Author(s):

Zhendong Gu

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Chebyshev Spectral Collocation ◽

Chebyshev Spectral Collocation Method

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A Multistep Legendre--Gauss Spectral Collocation Method for Nonlinear Volterra Integral Equations

SIAM Journal on Numerical Analysis ◽

10.1137/130915200 ◽

2014 ◽

Vol 52 (4) ◽

pp. 1953-1980 ◽

Author(s):

Chang-Tao Sheng ◽

Zhong-Qing Wang ◽

Ben-Yu Guo

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Volterra Integral Equations ◽

Spectral Collocation Method ◽

Spectral Collocation

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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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