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A new analytical method for solutions of nonlinear impulsive Volterra-Fredholm integral equations

Nonlinear Analysis and Differential Equations, 2018
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Taylor polynomial solutions of nonlinear Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Yalçınbaş
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Legendre wavelets method for the nonlinear Volterra–Fredholm integral equations

Mathematics and Computers in Simulation, 2005
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Yousefi, S., Razzaghi, M.
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Optimal perturbation iteration technique for solving nonlinear Volterra‐Fredholm integral equations

Mathematical Methods in the Applied Sciences, 2020
In this work, the optimal perturbation iteration method is briefly presented and employed for solving nonlinear Volterra‐Fredholm integral equations. The classical form of the optimal perturbation iteration method is modified, and new algorithms are constructed for integral equations.
S. Deniz
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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., Mohammed, Nedal M., Ghadle, Kirtiwant P.   +2 more
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Collocation method for solving two-dimensional nonlinear Volterra–Fredholm integral equations with convergence analysis

Journal of Computational and Applied Mathematics, 2023
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Jian Mi, Jin Huang
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A matrix based method for two dimensional nonlinear Volterra-Fredholm integral equations

Numerical Algorithms, 2014
This paper investigates a numerical method for solving two-dimensional nonlinear Volterra-Fredholm integral equations of the following form: \[ u(x,t)-\lambda_1\int_{0}^{t}\int_{0}^{x} k_1(x,t,y,z) u^r(y,z)dydz- \] \[ -\lambda_2\int_{0}^{T_2}\int_{0}^{T_1} k_2(x,t,y,z) u^s(y,z)dydz=f(x,t), \quad r,s\in \mathbb{Z}^{+}, \] for the unknown function \(u(x ...
Hosseini, S. A., Shahmorad, S., Talati, F.   +2 more
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Modified decomposition method for nonlinear Volterra–Fredholm integral equations

Chaos, Solitons & Fractals, 2007
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Bildik, Necdet, Inc, Mustafa
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Representation of exact solution for the nonlinear Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2006
This paper is concerned with the existence of the exact solution of the following nonlinear Volterra-Fredholm integral equation \[ u(x)=f(x)+Gu(x), \] where \[ Gu(x)=\lambda_{1}\int_{a}^{x}K_{1}(x,\xi)N_{1}(u(\xi))\,d\xi +\lambda_{2}\int_{a}^{b}K_{2}(x,\xi)N_{2}(u(\xi))\,d\xi, \] \(u(x)\) is the unknown function, \(u(x), \;f(x)\in W^{1}_{2}[a,b], \;N_ ...
Cui, Minggen, Du, Hong
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Triangular functions (TF) method for the solution of nonlinear Volterra–Fredholm integral equations

Communications in Nonlinear Science and Numerical Simulation, 2010
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Maleknejad, K., Almasieh, H., Roodaki, M.   +2 more
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