Chebyshev Spectral Projection Methods for Two-Dimensional Fredholm Integral Equations of Second Kind

Bijaya Laxmi Panigrahi; Jitendra Kumar Malik

doi:10.1007/s40819-021-01015-4

Chebyshev Spectral Projection Methods for Two-Dimensional Fredholm Integral Equations of Second Kind

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-021-01015-4 ◽

2021 ◽

Vol 7 (3) ◽

Author(s):

Bijaya Laxmi Panigrahi ◽

Jitendra Kumar Malik

Keyword(s):

Integral Equations ◽

Spectral Projection ◽

Projection Methods ◽

Fredholm Integral Equations ◽

Two Dimensional

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Convergence analysis of discrete legendre spectral projection methods for hammerstein integral equations of mixed type

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.05.100 ◽

2015 ◽

Vol 265 ◽

pp. 574-601 ◽

Cited By ~ 3

Author(s):

Payel Das ◽

Gnaneshwar Nelakanti

Keyword(s):

Convergence Analysis ◽

Integral Equations ◽

Mixed Type ◽

Spectral Projection ◽

Projection Methods ◽

Hammerstein Integral Equations ◽

Equations Of Mixed Type

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Solving Two-Dimensional Nonlinear Fredholm Integral Equations Using Rationalized Haar Functions in the Complex Plane

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-019-0631-1 ◽

2019 ◽

Vol 5 (3) ◽

Author(s):

Majid Erfanian ◽

Abbas Akrami ◽

Mahmmod Parsamanesh

Keyword(s):

Integral Equations ◽

Complex Plane ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Haar Functions ◽

Nonlinear Fredholm Integral Equations

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A new spectral meshless radial point interpolation (SMRPI) method for the two-dimensional Fredholm integral equations on general domains with error analysis

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.08.018 ◽

2016 ◽

Vol 294 ◽

pp. 196-209 ◽

Cited By ~ 33

Author(s):

Hedayat Fatahi ◽

Jafar Saberi-Nadjafi ◽

Elyas Shivanian

Keyword(s):

Error Analysis ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Radial Point Interpolation ◽

Point Interpolation

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Solving two-dimensional Volterra-Fredholm integral equations of the second kind by using Bernstein polynomials

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-017-3352-4 ◽

2017 ◽

Vol 32 (1) ◽

pp. 68-78 ◽

Cited By ~ 2

Author(s):

M. Sh. Dahaghin ◽

Sh. Eskandari

Keyword(s):

Integral Equations ◽

Bernstein Polynomials ◽

Fredholm Integral Equations ◽

Two Dimensional

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Superconvergence results of Legendre spectral projection methods for Volterra integral equations of second kind

Computational and Applied Mathematics ◽

10.1007/s40314-017-0563-5 ◽

2017 ◽

Vol 37 (4) ◽

pp. 4007-4022 ◽

Cited By ~ 1

Author(s):

Moumita Mandal ◽

Gnaneshwar Nelakanti

Keyword(s):

Integral Equations ◽

Spectral Projection ◽

Projection Methods ◽

Volterra Integral Equations ◽

Superconvergence Results

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Numerical solution of two dimensional stochastic Volterra–Fredholm integral equations via operational matrix method based on hat functions

SeMA Journal ◽

10.1007/s40324-020-00213-2 ◽

2020 ◽

Vol 77 (3) ◽

pp. 227-241

Author(s):

Farshid Mirzaee ◽

Nasrin Samadyar

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Matrix Method ◽

Operational Matrix ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Operational Matrix Method

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Erratum to: Discrete Legendre spectral projection methods for Fredholm–Hammerstein integral equations [J. Comput. Appl. Math. 278 (2015) 293–305]

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.08.005 ◽

2016 ◽

Vol 292 ◽

pp. 634-636

Author(s):

Payel Das ◽

Gnaneshwar Nelakanti ◽

Guangqing Long

Keyword(s):

Integral Equations ◽

Spectral Projection ◽

Projection Methods ◽

Hammerstein Integral Equations ◽

Appl Math

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Kernel iterative method for solving two-dimensional fuzzy Fredholm integral equations of the second kind

Journal of Fuzzy Set Valued Analysis ◽

10.5899/2013/jfsva-00146 ◽

2013 ◽

Vol 2013 ◽

pp. 1-9 ◽

Cited By ~ 4

Author(s):

Azim Rivaz ◽

Farzaneh Yousefi

Keyword(s):

Iterative Method ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional

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Franklin Wavelet Galerkin Method (FWGM) for Numerical Solution of Two-Dimensional Fredholm Integral Equations

Mediterranean Journal of Mathematics ◽

10.1007/s00009-016-0777-6 ◽

2016 ◽

Vol 13 (6) ◽

pp. 4819-4828 ◽

Cited By ~ 4

Author(s):

Yaser Rostami ◽

Khosrow Maleknejad

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Wavelet Galerkin Method

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Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Gauss product quadrature rules

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.08.017 ◽

2012 ◽

Vol 17 (3) ◽

pp. 1215-1223 ◽

Cited By ~ 23

Author(s):

S. Bazm ◽

E. Babolian

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Quadrature Rules ◽

Fredholm Integral Equations ◽

Two Dimensional

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