NUMERICAL SOLUTION OF TWO-DIMENSIONAL NONLINEAR INTEGRAL EQUATIONS VIA QUADRATURE RULES AND ITERATIVE METHOD

Advances in Differential Equations and Control Processes ◽

10.17654/de017010027 ◽

2016 ◽

Vol 17 (1) ◽

pp. 27-56

Author(s):

M. Kazemi ◽

R. Ezzati

Keyword(s):

Iterative Method ◽

Numerical Solution ◽

Integral Equations ◽

Quadrature Rules ◽

Two Dimensional ◽

Nonlinear Integral Equations

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A new method based on Haar wavelet for the numerical solution of two-dimensional nonlinear integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.04.027 ◽

2014 ◽

Vol 272 ◽

pp. 70-80 ◽

Author(s):

Imran Aziz ◽

Siraj-ul-Islam ◽

Fawad Khan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Haar Wavelet ◽

Two Dimensional ◽

Nonlinear Integral Equations

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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 based on two-dimensional orthonormal Bernstein polynomials for solving some classes of two-dimensional nonlinear integral equations of fractional order

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.10.020 ◽

2019 ◽

Vol 344-345 ◽

pp. 191-203 ◽

Author(s):

Farshid Mirzaee ◽

Nasrin Samadyar

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Fractional Order ◽

Bernstein Polynomials ◽

Two Dimensional ◽

Nonlinear Integral Equations

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Iterative Method for Numerical Solution of Two-Dimensional Nonlinear Urysohn Fuzzy Integral Equations

Advanced Computing in Industrial Mathematics - Studies in Computational Intelligence ◽

10.1007/978-3-319-97277-0_12 ◽

2018 ◽

pp. 147-161

Author(s):

Atanaska Georgieva ◽

Albena Pavlova ◽

Svetoslav Enkov

Keyword(s):

Iterative Method ◽

Numerical Solution ◽

Integral Equations ◽

Fuzzy Integral ◽

Two Dimensional

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Application of hybrid functions operational matrices in the numerical solution of two-dimensional nonlinear integral equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.09.014 ◽

2019 ◽

Vol 136 ◽

pp. 46-65 ◽

Author(s):

K. Maleknejad ◽

M. Shahabi

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Operational Matrices ◽

Two Dimensional ◽

Nonlinear Integral Equations ◽

Hybrid Functions

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A meshless method based on the moving least squares (MLS) approximation for the numerical solution of two-dimensional nonlinear integral equations of the second kind on non-rectangular domains

Numerical Algorithms ◽

10.1007/s11075-013-9800-1 ◽

2013 ◽

Vol 67 (2) ◽

pp. 423-455 ◽

Author(s):

Pouria Assari ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Least Squares ◽

Integral Equations ◽

Meshless Method ◽

Moving Least Squares ◽

Two Dimensional ◽

Nonlinear Integral Equations ◽

Mls Approximation

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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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Iterative method for numerical solution of two-dimensional nonlinear fuzzy integral equations

Fuzzy Sets and Systems ◽

10.1016/j.fss.2014.12.008 ◽

2015 ◽

Vol 280 ◽

pp. 91-106 ◽

Author(s):

S.M. Sadatrasoul ◽

R. Ezzati

Keyword(s):

Iterative Method ◽

Numerical Solution ◽

Integral Equations ◽

Fuzzy Integral ◽

Two Dimensional

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Quadrature iterative method for numerical solution of two-dimensional linear fuzzy Fredholm integral equations

Mathematical Sciences ◽

10.1007/s40096-016-0205-x ◽

2017 ◽

Vol 11 (1) ◽

pp. 63-72 ◽

Author(s):

H. Nouriani ◽

R. Ezzati

Keyword(s):

Iterative Method ◽

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Two Dimensional

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Numerical solution of two-dimensional nonlinear fuzzy delay integral equations via iterative method and trapezoidal quadrature rule

Granular Computing ◽

10.1007/s41066-020-00231-5 ◽

2020 ◽

Author(s):

Hajar Nouriani ◽

Reza Ezzati ◽

Atiyeh Mashhadi Gholam

Keyword(s):

Iterative Method ◽

Numerical Solution ◽

Integral Equations ◽

Quadrature Rule ◽

Two Dimensional

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