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Modified Legendre rational and exponential collocation methods for solving nonlinear Hammerstein integral equations on the semi-infinite domain

International Journal of Computational Mathematics, 2022
This paper discusses two efficient collocation methods for solving the Hammerstein integral equations on the semi-infinite domain, where the underlying solutions decay to zero at infinity.
Walid Remili, A. Rahmoune
semanticscholar   +1 more source

A numerical algorithm for a class of nonlinear fractional Volterra integral equations via modified hat functions

Journal of Integral Equations and Applications, 2022
In this paper, a numerical algorithm via a modified hat functions (MHFs) has been proposed to solve a class of non-linear fractional Volterra integral equations of the second kind. A fractional-order operational matrix of integration is introduced.
J. Biazar, H. Ebrahimi
semanticscholar   +1 more source

Numerical algorithm for two-dimensional nonlinear Volterra-Fredholm integral equations and fractional integro-differential equations (of Hammerstein and mixed types)

Engineering computations, 2021
Purpose This paper aims to propose an efficient and convenient numerical algorithm for two-dimensional nonlinear Volterra-Fredholm integral equations and fractional integro-differential equations (of Hammerstein and mixed types).
Jiao Wang
semanticscholar   +1 more source

Kinetic and thermodynamical interpretation of the conservation laws of a nonlinear Schrödinger equation and other completely integrable systems

Il Nuovo Cimento B Series 11, 1985
A kinetic interpretation of the conservation laws of a class of completely integrable nonlinear evolution equations is obtained by introducing a distribution function depending on the spectral parameter of the inverse spectral transform of the equations.
T. A. Minelli, A. Pascolini
openaire   +1 more source

New explicit soliton and other solutions for the conformable fractional Biswas–Milovic equation with Kerr and parabolic nonlinearity through an integration scheme

Optik, 2018
Abstract In this paper, we derived new explicit complex hyperbolic and complex trigonometric function solutions, especially dark, bright, combined dark–bright, singular, combined singular soliton and other soliton solutions from the conformable fractional Biswas–Milovic equation with Kerr law and Parabolic law nonlinearity that describes the long ...
Mohammadreza Foroutan   +3 more
openaire   +1 more source

Efficient sustainable algorithm for numerical solution of nonlinear delay Fredholm‐Volterra integral equations via Haar wavelet for dense sensor networks in emerging telecommunications

Transactions on Emerging Telecommunications Technologies, 2020
Emerging technologies such as cloud computing, integration of Internet of Things, data science, self‐powered data centers, dense sensor network, artificial intelligence convergence, machine learning and deep learning, self‐service IT for business users ...
Rohul Amin   +2 more
semanticscholar   +1 more source

Approximate solutions of nonlinear Volterra integral equations of the first kind

, 2020
We find numerical solutions of nonlinear Volterra integral equations of the first kind by first converting them into linear Volterra integral equations of the second kind.
Christian Kasumo, Edwin Moyo
semanticscholar   +1 more source

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