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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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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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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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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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 Volterra–Fredholm integral equations using hybrid of block-pulse functions and Taylor series

Alexandria Engineering Journal ◽

10.1016/j.aej.2013.02.004 ◽

2013 ◽

Vol 52 (3) ◽

pp. 551-555 ◽

Author(s):

Farshid Mirzaee ◽

Ali Akbar Hoseini

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Taylor Series ◽

Fredholm Integral Equations ◽

Block Pulse Functions

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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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Numerical solution of nonlinear Volterra–Fredholm–Hammerstein integral equations in two-dimensional spaces based on Block Pulse functions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2016.12.028 ◽

2017 ◽

Vol 317 ◽

pp. 565-572 ◽

Author(s):

Jiaquan Xie ◽

Qingxue Huang ◽

Fuqiang Zhao

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Two Dimensional ◽

Hammerstein Integral Equations ◽

Block Pulse Functions

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Numerical Solution of Volterra-Fredholm Integral Equations Using Hybrid Orthonormal Bernstein and Block-Pulse Functions

Asian Research Journal of Mathematics ◽

10.9734/arjom/2017/34324 ◽

2017 ◽

Vol 4 (4) ◽

pp. 1-14 ◽

Author(s):

Mohamed Ramadan ◽

Mohamed Ali

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Fredholm Integral Equations ◽

Block Pulse Functions

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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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