Some Examples of the Numerical Solution of Nonlinear Integral Equations

Analytical Chemistry ◽

10.1021/ac60225a009 ◽

1965 ◽

Vol 37 (6) ◽

pp. 667-671 ◽

Author(s):

Richard S. Nicholson

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

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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Legendre multi-wavelets collocation method for numerical solution of linear and nonlinear integral equations

Alexandria Engineering Journal ◽

10.1016/j.aej.2020.09.040 ◽

2020 ◽

Vol 59 (6) ◽

pp. 5099-5109

Author(s):

Muhammad Asif ◽

Imran Khan ◽

Nadeem Haider ◽

Qasem Al-Mdallal

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Nonlinear Integral Equations ◽

Linear And Nonlinear

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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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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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On the numerical solution of nonlinear integral equations on non-rectangular domains utilizing thin plate spline collocation method

Proceedings - Mathematical Sciences ◽

10.1007/s12044-019-0511-y ◽

2019 ◽

Vol 129 (5) ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Thin Plate Spline ◽

Spline Collocation ◽

Nonlinear Integral Equations ◽

Spline Collocation Method

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Numerical solution of nonlinear integral equations using alternative Legendre polynomials

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-016-1060-5 ◽

2016 ◽

Vol 56 (1-2) ◽

pp. 25-51 ◽

Author(s):

Sohrab Bazm ◽

Alireza Hosseini

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Legendre Polynomials ◽

Nonlinear Integral Equations

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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 NEW APPROACH TO THE NUMERICAL SOLUTION OF A CLASS OF LINEAR AND NONLINEAR INTEGRAL EQUATIONS OF FREDHOLM TYPE

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.54.6.1501 ◽

1965 ◽

Vol 54 (6) ◽

pp. 1501-1503 ◽

Author(s):

R. Bellman

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Nonlinear Integral Equations ◽

Fredholm Type ◽

New Approach ◽

Linear And Nonlinear

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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 Linear and Nonlinear Integral Equations Via Improved Block-Pulse Functions

American Journal of Mathematical and Computer Modelling ◽

10.11648/j.ajmcm.20210602.11 ◽

2021 ◽

Vol 6 (2) ◽

pp. 19

Author(s):

Mahmoud Hamed Taha ◽

Mohamed Abdel-Latif Ramadan ◽

Galal Mahrous Moatimid

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Nonlinear Integral Equations ◽

Block Pulse Functions ◽

Linear And Nonlinear

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