Numerical solution of two-dimensional nonlinear fuzzy Fredholm integral equations based on Gauss quadrature rule

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-17402 ◽

2018 ◽

Vol 35 (2) ◽

pp. 2281-2291 ◽

Author(s):

Yanying Ma ◽

Jin Huang ◽

Hongyan Liu ◽

Changqing Wang

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Quadrature Rule ◽

Gauss Quadrature ◽

Fredholm Integral Equations ◽

Two Dimensional ◽

Gauss Quadrature Rule

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Numerical solution of a class of fractional optimal control problems via the Legendre orthonormal basis combined with the operational matrix and the Gauss quadrature rule

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.03.003 ◽

2013 ◽

Vol 250 ◽

pp. 143-160 ◽

Author(s):

A. Lotfi ◽

S.A. Yousefi ◽

Mehdi Dehghan

Keyword(s):

Optimal Control ◽

Numerical Solution ◽

Orthonormal Basis ◽

Optimal Control Problems ◽

Operational Matrix ◽

Quadrature Rule ◽

Gauss Quadrature ◽

Control Problems ◽

Fractional Optimal Control Problems ◽

Gauss Quadrature Rule

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Numerical solution of linear Fredholm integral equations via modified Simpson’s quadrature rule

Journal of King Saud University - Science ◽

10.1016/j.jksus.2010.04.011 ◽

2011 ◽

Vol 23 (1) ◽

pp. 7-10

Author(s):

Farshid Mirzaee ◽

Sima Piroozfar

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Quadrature Rule ◽

Fredholm Integral Equations

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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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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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Polynomial–Sinc collocation method combined with the Legendre–Gauss quadrature rule for numerical solution of distributed order fractional differential equations

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas ◽

10.1007/s13398-020-00976-3 ◽

2021 ◽

Vol 115 (2) ◽

Author(s):

Nasrin Moshtaghi ◽

Abbas Saadatmandi

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Collocation Method ◽

Fractional Differential Equations ◽

Quadrature Rule ◽

Gauss Quadrature ◽

Fractional Differential ◽

Gauss Quadrature Rule ◽

Distributed Order

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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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