A fast numerical solution method for two dimensional Fredholm integral equations of the second kind based on piecewise polynomial interpolation

Applied Mathematics and Computation ◽

10.1016/j.amc.2010.04.027 ◽

2010 ◽

Vol 216 (10) ◽

pp. 3073-3088 ◽

Author(s):

Fen Liang ◽

Fu-Rong Lin

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Solution Method ◽

Polynomial Interpolation ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Piecewise Polynomial ◽

Numerical Solution Method

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A fast numerical solution method for two dimensional Fredholm integral equations of the second kind

Applied Numerical Mathematics ◽

10.1016/j.apnum.2009.01.009 ◽

2009 ◽

Vol 59 (7) ◽

pp. 1709-1719 ◽

Author(s):

Wen-Jing Xie ◽

Fu-Rong Lin

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Solution Method ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Numerical Solution Method

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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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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 ◽

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 ◽

Author(s):

S. Bazm ◽

E. Babolian

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Quadrature Rules ◽

Fredholm Integral Equations ◽

Two Dimensional

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Numerical solution of two-dimensional stochastic Fredholm integral equations on hypercube domains via meshfree approach

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.112875 ◽

2020 ◽

Vol 377 ◽

pp. 112875 ◽

Author(s):

Nasrin Samadyar ◽

Farshid Mirzaee

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional

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Numerical solution of linear Fredholm integral equations via two-dimensional modification of hat functions

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.10.128 ◽

2015 ◽

Vol 250 ◽

pp. 805-816 ◽

Author(s):

Farshid Mirzaee ◽

Elham Hadadiyan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional

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Numerical solution of stochastic mixed Volterra-Fredholm integral equations driven by space-time Brownian motion via two-dimensional block pulse functions

10.1063/1.5049043 ◽

2018 ◽

Author(s):

Farkhondeh Hosseini Shekarabi ◽

Tayebeh Damercheli

Keyword(s):

Brownian Motion ◽

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Block Pulse Functions

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Numerical solution of Fredholm integral equations of first kind by two-dimensional trigonometric wavelets in holder space C α([a, b])

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542512040045 ◽

2012 ◽

Vol 52 (4) ◽

pp. 601-614 ◽

Author(s):

A. Babaaghaie ◽

H. Mesgarani

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Holder Space ◽

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Numerical solution of two-dimensional nonlinear fuzzy Fredholm integral equations via quadrature iterative method

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-171104 ◽

2019 ◽

Vol 36 (1) ◽

pp. 661-674 ◽

Author(s):

Atiyeh Mashhadi Gholam ◽

Reza Ezzati ◽

Tofigh Allahviranloo

Keyword(s):

Iterative Method ◽

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional

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Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Sinc Nyström method

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1411591 ◽

2017 ◽

Vol 95 (12) ◽

pp. 2549-2568 ◽

Author(s):

Yanying Ma ◽

Jin Huang ◽

Changqing Wang

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Nyström Method ◽

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