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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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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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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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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The numerical solution of nonlinear integral equations of the second kind using thin plate spline discrete collocation method

Ricerche di Matematica ◽

10.1007/s11587-016-0314-8 ◽

2017 ◽

Vol 66 (2) ◽

pp. 469-489 ◽

Author(s):

Pouria Assari

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Thin Plate Spline ◽

Nonlinear Integral Equations

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Low cost numerical solution for three-dimensional linear and nonlinear integral equations via three-dimensional Jacobi polynomials

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.01.030 ◽

2017 ◽

Vol 319 ◽

pp. 493-513 ◽

Author(s):

K. Sadri ◽

A. Amini ◽

C. Cheng

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Jacobi Polynomials ◽

Low Cost ◽

Three Dimensional ◽

Nonlinear Integral Equations ◽

Linear And Nonlinear

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Bernoulli polynomials for the numerical solution of some classes of linear and nonlinear integral equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.07.018 ◽

2015 ◽

Vol 275 ◽

pp. 44-60 ◽

Author(s):

S. Bazm

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Bernoulli Polynomials ◽

Nonlinear Integral Equations ◽

Linear And Nonlinear

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Numerical solution of special 2D Fredholm-Volterra integral equations using barycentric Gegenbauer interpolation collocation method

Journal of Physics Conference Series ◽

10.1088/1742-6596/1634/1/012099 ◽

2020 ◽

Vol 1634 ◽

pp. 012099

Author(s):

Hongyan Liu ◽

Jin Huang

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Volterra 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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A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.07.073 ◽

2017 ◽

Vol 315 ◽

pp. 424-444 ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

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On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0050 ◽

2019 ◽

Vol 11 (4) ◽

pp. 807-837 ◽

Author(s):

global sci

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Boundary Integral Equations ◽

Boundary Integral

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