Some Numerical Techniques For Solving Nonlinear Fredholm-Volterra Integral Equation [PDF]
in this paper, the existence and uniqueness of the solution of nonlinear Fredholm-Volterra integral equations is consider (NF-VIE) with continuous kernel, then we use a numerical method to reduce this type of equation to a system of Fredholm integral ...
AL-Bugami, Abeer, Al-Juaid, J. G.
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Distributed-memory parallelization of an explicit time-domain volume integral equation solver on Blue Gene/P [PDF]
Two distributed-memory schemes for efficiently parallelizing the explicit marching-on in-time based solution of the time domain volume integral equation on the IBM Blue Gene/P platform are presented.
Cheeseman, M, Bağcı, H, Al-Jarro, A
core
Comparison between variational iteration method and Gegenbauer–Galerkin method for solving two dimensional nonlinear Volterra integral equations of the second kind [PDF]
This paper intends to introduce two numerical techniques—the variational iteration method and the Gegenbauer–Galerkin method—for obtaining solutions to two dimensional nonlinear Volterra integral equations of the second kind.
M. H. Ahmed
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In this paper, we use quasilinearization technique, product integration rule, and collocation method to present a new numerical method to solve nonlinear fractional Volterra integro-differential equations with logarithmic weakly singular kernel.
Qays Atshan Almusawi, Esmaeil Najafi
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Existence theory for nonlinear volterra integral and differential equations
The technique of measures of noncompactness and measures of weak noncompactness is used in order to derive existence results for integrodifferential equation of the form \[ y'(t)= f\left(t,y(t), \int^t_0 k\bigl(t,s,y(s)\bigr)ds \right),\;t\in[0,T],\;y(0)=0.
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Existence of solutions for mixed Volterra-Fredholm integral equations
In this article, we give some results concerning the continuity of the nonlinear Volterra and Fredholm integral operators on the space $L^{1}[0,infty)$.
Asadollah Aghajani +2 more
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On a certain nonlinear integral equation of the Volterra type [PDF]
Roberts, J. H., Mann, W. R.
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On the Variational Iteration Method for the Nonlinear Volterra Integral Equation
9 pages, 2 ...
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ADAPTED SOLUTION WITH NEWTON-KANTOROVICH METHOD FOR NONLINEAR VOLTERRA INTEGRAL EQUATIONS
[[abstract]]Find an approximate solution is one of the most important problems in our days, in this paper we look for an approximate solution for Volterra nonlinear integral equation using a combination between Newton-Kantorovich method and adapted ...
KHIRANI AMINA, MOSTEFA NADIR
core
Approximate Solutions of Nonlinear Integral Equations Using the Cubic B-Spline Scaling Method
This paper examines a category of general nonlinear integral equations. These equations also include many special cases, such as functional equations and nonlinear integral equations of the Volterra type.
Mohammed Jabbar Adaay Al-Sharea
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