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

Yaser Rostami; Khosrow Maleknejad

doi:10.1007/s00009-016-0777-6

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 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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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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The Galerkin Method for the Numerical Solution of Fredholm Integral Equations of the Second Kind

SIAM Review ◽

10.1137/1014071 ◽

1972 ◽

Vol 14 (3) ◽

pp. 465-491 ◽

Cited By ~ 58

Author(s):

Yasuhiko Ikebe

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

The Galerkin Method

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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 ◽

Cited By ~ 1

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 ◽

Cited By ~ 12

Author(s):

Farshid Mirzaee ◽

Elham Hadadiyan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional

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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 ◽

Cited By ~ 13

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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Numerical solution of non-linear Fredholm integral equations by using multiwavelets in the Petrov–Galerkin method

Applied Mathematics and Computation ◽

10.1016/j.amc.2004.08.047 ◽

2005 ◽

Vol 168 (1) ◽

pp. 102-110 ◽

Cited By ~ 16

Author(s):

K. Maleknejad ◽

M. Karami

Keyword(s):

Galerkin Method ◽

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Non Linear

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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 ◽

Space Time ◽

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 ◽

Cited By ~ 2

Author(s):

A. Babaaghaie ◽

H. Mesgarani

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Holder Space ◽

Hölder 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 ◽

Cited By ~ 3

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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