Convergence analysis of a Legendre spectral collocation method for nonlinear Fredholm integral equations in multidimensions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6443 ◽

2020 ◽

Cited By ~ 1

Author(s):

Mahmoud A. Zaky ◽

Ahmed S. Hendy

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Fredholm Integral Equations ◽

Spectral Collocation ◽

Nonlinear Fredholm Integral Equations

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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) ◽

Cited By ~ 2

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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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 ◽

Cited By ~ 1

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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On the rate of convergence of the Legendre spectral collocation method for multi-dimensional nonlinear Volterra–Fredholm integral equations

Communications in Theoretical Physics ◽

10.1088/1572-9494/abcfb3 ◽

2021 ◽

Vol 73 (2) ◽

pp. 025002

Author(s):

Nermeen A Elkot ◽

Mahmoud A Zaky ◽

Eid H Doha ◽

Ibrahem G Ameen

Keyword(s):

Rate Of Convergence ◽

Integral Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Fredholm Integral Equations ◽

Spectral Collocation

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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 ◽

Cited By ~ 2

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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Moving least squares and spectral collocation method to approximate the solution of stochastic Volterra–Fredholm integral equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.11.013 ◽

2021 ◽

Vol 161 ◽

pp. 275-285

Author(s):

Farshid Mirzaee ◽

Erfan Solhi ◽

Nasrin Samadyar

Keyword(s):

Least Squares ◽

Integral Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Moving Least Squares ◽

Fredholm Integral Equations ◽

Spectral Collocation

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A unified spectral collocation method for nonlinear systems of multi-dimensional integral equations with convergence analysis

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.10.028 ◽

2021 ◽

Vol 161 ◽

pp. 27-45

Author(s):

Mahmoud A. Zaky ◽

Ibrahem G. Ameen ◽

Nermeen A. Elkot ◽

Eid H. Doha

Keyword(s):

Nonlinear Systems ◽

Convergence Analysis ◽

Integral Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Dimensional Integral

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A rational spectral collocation method for solving Fredholm integral equations on the whole line

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2021.114184 ◽

2021 ◽

Vol 13 (1) ◽

pp. 32

Author(s):

Azedine Rahmoune ◽

Ahmed Guechi

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Fredholm Integral Equations ◽

Spectral Collocation

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A rational spectral collocation method for solving Fredholm integral equations on the whole line

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2021.10036765 ◽

2021 ◽

Vol 13 (1) ◽

pp. 32

Author(s):

Azedine Rahmoune ◽

Ahmed Guechi

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Fredholm Integral Equations ◽

Spectral Collocation

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Spectral collocation method for solving Fredholm integral equations on the half-line

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.03.043 ◽

2013 ◽

Vol 219 (17) ◽

pp. 9254-9260 ◽

Cited By ~ 5

Author(s):

Azedine Rahmoune

Keyword(s):

Integral Equations ◽

Collocation Method ◽

Spectral Collocation Method ◽

Half Line ◽

Fredholm Integral Equations ◽

Spectral Collocation

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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 ◽

Cited By ~ 1

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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