Newton-Krylov generalized minimal residual algorithm in solving nonlinear Volterra-Fredholm-Hammerstein integral equations [PDF]
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
doaj +1 more source
Periodic solutions for an impulsive system of integro-differential equations with maxima [PDF]
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
A collocation method to the solution of nonlinear fredholm-hammerstein integral and integro-differential equation [PDF]
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
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 +3 more
doaj +1 more source
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 +2 more
doaj +1 more source
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 +3 more
doaj +1 more source
On the integrability of the discrete nonlinear Schrödinger equation [PDF]
In this letter we present an analytic evidence of the non-integrability of the discrete nonlinear Schroedinger equation, a well-known discrete evolution equation which has been obtained in various contexts of physics and biology. We use a reductive perturbation technique to show an obstruction to its integrability.
LEVI, Decio, Petrera M, Scimiterna C.
openaire +2 more sources
An Innovative Approach to Nonlinear Fractional Shock Wave Equations Using Two Numerical Methods
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
doaj +1 more source
Solvability of integral equations through fixed point theorems: a survey [PDF]
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
An approach of extrapolation methods for the solution of nonlinear Volterra–Fredholm integral equations of the second kind [PDF]
This study presents the process of using extrapolation methods to solve the nonlinear Volterra–Fredholm integral equations of the second kind. To do this, by approximating the integral terms contained in equations by a quadrature rule, the nonlinear ...
H. Safdari +2 more
doaj +1 more source

