Results 1 to 10 of about 372,947 (286)

Newton-Krylov generalized minimal residual algorithm in solving nonlinear Volterra-Fredholm-Hammerstein integral equations [PDF]

Mathematics and Computational Sciences, 2021
In this paper, Galerkin and collocation methods based on shifted Legendre polynomials and spectral methods have been applied on nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations, these methods transfer the finding solution of a nonlinear ...
Ahmad Zavvartorbati
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Periodic solutions for an impulsive system of integro-differential equations with maxima [PDF]

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022
A periodical boundary value problem for a first-order system of ordinary integro-differential equations with impulsive effects and maxima is investigated.
Tursun K. Yuldashev
doaj   +1 more source

Fractional Integrable Nonlinear Soliton Equations

Physical Review Letters, 2022
Nonlinear integrable equations serve as a foundation for nonlinear dynamics, and fractional equations are well known in anomalous diffusion. We connect these two fields by presenting the discovery of a new class of integrable fractional nonlinear evolution equations describing dispersive transport in fractional media. These equations can be constructed
Mark J. Ablowitz, Joel B. Been, Lincoln D. Carr   +2 more
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A collocation method to the solution of nonlinear fredholm-hammerstein integral and integro-differential equation [PDF]

Journal of Hyperstructures, 2013
This paper presents a computational technique for the solution of the nonlinear Fredholm-Hammerstein integral and integrodifferential equations. A hybrid of block-pulse functions and the second kind Chebyshev polynomials (hereafter called as HBC) is used
F. Mirzaee, Elham Hadadiyan
doaj   +1 more source

Computation of semi-analytical solutions of fuzzy nonlinear integral equations

Advances in Difference Equations, 2020
In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah, Aman Ullah, Kamal Shah, Dumitru Baleanu   +3 more
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Existence and uniqueness of solutions for the system of integro-differential equations with three-point and nonlinear integral boundary conditions

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
The paper examines a system of nonlinear integro-differential equations with three-point and nonlinear integral boundary conditions. The original problem demonstrated to be equivalent to integral equations by using Green function.
M.J. Mardanov, Y.A. Sharifov, K.E. Ismayilova   +2 more
doaj   +1 more source

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

Alexandria Engineering Journal, 2020
In this article, a new collocation technique for numerical solution of Fredholm, Volterra and mixed Volterra-Fredholm integral equations of the second kind is introduced and also developed a numerical integration formula on the basis of linear Legendre ...
Muhammad Asif, Imran Khan, Nadeem Haider, Qasem Al-Mdallal   +3 more
doaj   +1 more source

An Innovative Approach to Nonlinear Fractional Shock Wave Equations Using Two Numerical Methods

Mathematics, 2023
In this research, we propose a combined approach to solving nonlinear fractional shock wave equations using an Elzaki transform, the homotopy perturbation method, and the Adomian decomposition method. The nonlinear fractional shock wave equation is first
Meshari Alesemi
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Solvability of integral equations through fixed point theorems: a survey [PDF]

Surveys in Mathematics and its Applications, 2022
This paper surveys regarding solutions of linear and nonlinear integral equations through fixed point theorem. Banach's contraction mapping principle is the most widely applied fixed point theorem in all of analysis with special applications to the ...
Usha Bag , Reena Jain
doaj  

Integrable Nonlocal Nonlinear Equations

Studies in Applied Mathematics, 2016
A nonlocal nonlinear Schrödinger (NLS) equation was recently found by the authors and shown to be an integrable infinite dimensional Hamiltonian equation. Unlike the classical (local) case, here the nonlinearly induced “potential” is symmetric thus the nonlocal NLS equation is also symmetric.
Ablowitz, Mark J., Musslimani, Ziad H.
openaire   +4 more sources