Results 51 to 60 of about 195 (150)

A NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

open access: yesJournal of Applied Analysis & Computation, 2013
In this paper, a numerical procedure for solving a class ofnonlinear Volterra-Fredholm integral equations is presented. Themethod is based upon the globally defined sinc basis functions.Properties of the sinc procedure are utilized to reduce thecomputation of the nonlinear integral equations to some algebraicequations.
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On the approximate solution of nonlinear Volterra-Fredholm integral equations on a complex domain by Dzyadyk’s method [PDF]

open access: yesUkrainian Mathematical Journal, 1997
\textit{V. K. Dzyadyk} [Colloq. Math. Soc. János Bolyai. 35, 441-448 (1983; Zbl 0574.34009)] proposed an iterative approximation method for the numerical solution of the Cauchy problem for ordinary differential equations. Later this method was developed and applied for the numerical solution of different types of differential and integral equations. In
Rizk, M. M., Zaher, S. L.
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Numerical treatments for solving nonlinear mixed integral equation

open access: yesAlexandria Engineering Journal, 2016
We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
doaj   +1 more source

Two-dimensional triangular functions and their applications to nonlinear 2D Volterra–Fredholm integral equations

open access: yesComputers & Mathematics with Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Esmail Babolian   +3 more
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A Projection Method for Solving Nonlinear Volterra-Fredholm Integral Equations using Legendre Hybrid Functions

open access: yesJournal of Mathematical Extension, 2013
Since various problems in science and engineering fields can be modeled by nonlinear Volterra-Fredholm integral equations, the main focus of this study is to present an effective numerical method for solving them.
M. Roodaki, Z. JafariBehbahani
doaj  

Estimates on some power nonlinear Volterra-Fredholm type dynamic integral inequalities on time scales

open access: yesAdvances in Difference Equations, 2017
In this paper, some explicit bounds on solutions to a class of new power nonlinear Volterra-Fredholm type dynamic integral inequalities on time scales are established, which can be used as effective tools in the study of certain dynamic equations ...
Jiangfeng Wang, Fanwei Meng, Juan Gu
doaj   +1 more source

A double inverse problem for Fredholm integro-differential equation of elliptic type

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
In this paper the double inverse problem for partial differential equations is considered. The method of studying the one value solvability of the double inverse problem for a Fredholm integro-differential equation of elliptic type with degenerate kernel
Tursun K Yuldashev
doaj   +1 more source

A computational method based on hybrid of block-pulse functions and Taylor series for solving two-dimensional nonlinear integral equations

open access: yesAlexandria Engineering Journal, 2014
In this paper, a new reliable technique, which is based on hybrid functions approximation, is introduced for the approximate solutions of two-dimensional nonlinear Fredholm and Volterra integral equations. The properties of block-pulse functions together
Farshid Mirzaee, Ali Akbar Hoseini
doaj   +1 more source

A modified homotopy perturbation method for solving the nonlinear mixed Volterra–Fredholm integral equation

open access: yesJournal of Computational and Applied Mathematics, 2013
The purpose of this paper is to obtain the approximation solution of the strongly nonlinear mixed Volterra-Fredholm integral equation (VFIE). For some strongly nonlinear problems, the traditional homotopy perturbation method is divergent, so we propose a modified homotopy perturbation method which is still convergent when solving the strongly nonlinear
Chunhuan Dong   +2 more
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Degenerate method in mixed nonlinear three dimensions integral equation

open access: yesAlexandria Engineering Journal, 2019
In this paper, a mixed nonlinear integral equation (MNIE) of The second kind of position and time is introduced. The existence Of at least one solution of this equation is discussed.
M. Basseem
doaj   +1 more source

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