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Some Powerful Techniques for Solving Nonlinear Volterra-Fredholm Integral Equations

Journal of Applied Nonlinear Dynamics, 2021
Summary: The main object of the present paper is to study the behavior of the approximated solutions of the nonlinear mixed Volterra-Fredholm integral equations by using Adomian Decomposition Method (ADM), Modified Adomian Decomposition Method (MADM), Variational Iteration Method (VIM) and Homotopy Analysis Method (HAM).
Hamoud, Ahmed A.   +2 more
openaire   +1 more source

Numerical approaches for systems of Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CALIO', FRANCA   +3 more
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Modified decomposition method for nonlinear Volterra–Fredholm integral equations

Chaos, Solitons & Fractals, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bildik, Necdet, Inc, Mustafa
openaire   +1 more source

On Volterra-Fredholm integral equations

Periodica Mathematica Hungarica, 1993
The Ważewski method associated with the convergence of successive approximations is used in order to obtain existence and uniqueness results for the functional-integral equation of Volterra-Fredholm type of the form \[ \begin{multlined} x(t)=F \Biggl( t,x(t), \int_ 0^ t f_ 1(t,s,x(s))ds,\dots, \int_ 0^ t f_ n(t,s,x(s))ds,\\ \int_ 0^ T g_ 1(t,s,x(s))ds,\
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Modified Galerkin method for Volterra-Fredholm-Hammerstein integral equations

Computational and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, Payel   +2 more
openaire   +1 more source

On Volterra–Fredholm Equations with Partial Integrals

Differential Equations, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

An efficient algorithm for solving nonlinear Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Zhong, Jiang, Wei
openaire   +1 more source

On a certain Volterra-Fredholm integral equation

Journal of Interdisciplinary Mathematics
The presence of these solutions is established by employing well-established fixed point theorems in Banach spaces. The aim of this research is to study the existence and unique characteristics of continuous solutions within compact intervals for specific integral equations.
Lamiaa H. Al-Taee   +2 more
openaire   +1 more source

Volterra-Fredholm Integral Equations

2011
The Volterra-Fredholm integral equations [1–2] arise from parabolic boundary value problems, from the mathematical modelling of the spatio-temporal development of an epidemic, and from various physical and biological models. The Volterra-Fredholm integral equations appear in the literature in two forms, namely $$u\left( x \right) = f\left( x \right)
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A computational method for system of Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maleknejad, K., Fadaei Yami, M. R.
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