Results 151 to 160 of about 303 (178)

On a Nonlinear Volterra-Fredholm Integral Equation

Sarajevo Journal of Mathematics
In this paper we study the existence, uniqueness and other properties of solutions of a certain nonlinear Volterra-Fredholm integral equation. The well known Banach fixed point theorem and the new integral inequality with explicit estimate are used to establish the results.   2000 Mathematics Subject Classification.
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On some Volterra-Fredholm integral equations

2006
Existence, uniqueness and numerical results for some Volterra-Fredholm integral equations are given. To obtain existence and uniqueness Picard operators technique is applied. Numerical method based on collocation using modified q.i. splines is presented. Numerical results are given.
CALIO', FRANCA, MARCHETTI, ELENA MARIA, V. MURESAN   +2 more
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On a class of nonlinear Volterra-Fredholm q-integral equations

Fractional Calculus and Applied Analysis, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Application of Fibonacci collocation method for solving Volterra–Fredholm integral equations

Applied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mirzaee, Farshid, Hoseini, Seyede Fatemeh   +1 more
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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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Numerical solution of Volterra–Fredholm integral equations using parameterized pseudospectral integration matrices

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Modified Adomian Decomposition Method for Solving Fuzzy Volterra-Fredholm Integral Equation

Journal of the Indian Mathematical Society, 2018
In this paper, a modied Adomian decomposition method has been applied to approximate the solution of the fuzzy Volterra-Fredholm integral equations of the first and second Kind. That, a fuzzy Volterra-Fredholm integral equation has been converted to a system of Volterra-Fredholm integral equations in crisp case.
Hamoud, Ahmed A., Ghadle, Kirtiwant P.
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A new general integral transform for solving integral equations

Journal of Advanced Research, 2021
Hossein Jafari
exaly  

BINN: A deep learning approach for computational mechanics problems based on boundary integral equations

Computer Methods in Applied Mechanics and Engineering, 2023
Jia Sun, 一铮 王, Zhenhan Yao
exaly  

Approximate solution of nonlinear Volterra-Fredholm fuzzy integral equations

AIP Conference Proceedings, 2022
Atanaska Georgieva, Iva Naydenova
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