Results 121 to 130 of about 195 (150)

On the Numerical Solution of Nonlinear Volterra–Fredholm Integral Equations by Collocation Methods

SIAM Journal on Numerical Analysis, 1990
Particular cases of nonlinear mixed Volterra–Fredholm integral equations of the second kind arise in the mathematical modeling of the spatio-temporal development of an epidemic. This paper is concerned with the numerical solution of general integral equations of this type by continuous-time and discrete-time spline collocation methods.
Hermann Brunner
exaly   +2 more sources

Solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via rationalized Haar functions

Applied Mathematics and Computation, 2006
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Yadollah Ordokhani
exaly   +3 more sources

A spectral collocation method with piecewise trigonometric basis functions for nonlinear Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2020
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Sadegh Amiri, Mojtaba Hajipour, Dumitru Baleanu   +2 more
exaly   +2 more sources

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
openaire   +1 more source

An efficient algorithm for solving nonlinear Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2015
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Zhong Chen 0008, Wei Jiang 0012
openaire   +1 more source

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_ ...
Minggen Cui, Hong Du
openaire   +2 more sources

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 a class of nonlinear Volterra-Fredholm q-integral equations

Fractional Calculus and Applied Analysis, 2013
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openaire   +1 more source

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 ...
Seyyed Ahmad Hosseini, Sedaghat Shahmorad, Faramarz Talati   +2 more
openaire   +2 more sources

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 0011
openaire   +1 more source