Results 171 to 180 of about 6,585 (218)

Numerical solutions of the nonlinear Volterra–Fredholm integral equations by using homotopy perturbation method

Applied Mathematics and Computation, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghasemi, M., Tavassoli Kajani, M., Babolian, E.   +2 more
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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.
H. Brunner
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Convergence analysis of hybrid functions method for two-dimensional nonlinear Volterra–Fredholm integral equations

Journal of Computational and Applied Mathematics, 2020
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Maleknejad, K., Saeedipoor, E.
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On the rate of convergence of the Legendre spectral collocation method for multi-dimensional nonlinear Volterra–Fredholm integral equations

Communications in Theoretical Physics, 2021
While the approximate solutions of one-dimensional nonlinear Volterra–Fredholm integral equations with smooth kernels are now well understood, no systematic studies of the numerical solutions of their multi-dimensional counterparts exist.
N. Elkot, M. A. Zaky, E. H. Doha, I. G. Ameen   +3 more
semanticscholar   +1 more source

Numerical algorithm for two-dimensional nonlinear Volterra-Fredholm integral equations and fractional integro-differential equations (of Hammerstein and mixed types)

Engineering computations, 2021
Purpose This paper aims to propose an efficient and convenient numerical algorithm for two-dimensional nonlinear Volterra-Fredholm integral equations and fractional integro-differential equations (of Hammerstein and mixed types).
Jiao Wang
semanticscholar   +1 more source

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
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An Existence Theorem for Some Nonlinear Volterra-Fredholm Integral Equations in the Space of Continuous Tempered Functions

Numerical Functional Analysis and Optimization, 2021
The aim of the present paper is to study the existence and asymptotic behavior of the solutions of some functional integral equations which contain a number of classical nonlinear integral equations as special cases.
I. Özdemir
semanticscholar   +1 more source

Solving Nonlinear Volterra-Fredholm Integral Equations via New Basis Functions

2021
In this paper, by introducing a class of new orthogonal basis functions (NFs), we propose a numerical method to solve the nonlinear Volterra-Fredholm integral equations of the second kind (NVFIE2). To do this, first, we present the operational matrix of integration of NFs.
A. A. Cheraghi Tofigh, Reza Ezzati
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Numerical Solution of 2D Nonlinear Volterra-Fredholm Integral Equations using Polynomial Collocation Method

International Journal of Development Mathematics (IJDM)
In this research, polynomial collocation method was used to develop and implement numerical solutions of nonlinear two-dimensional (2D) mixed Volterra-Fredholm integral equations.
A. A. Shalangwa, M. R. Odekunle, S. Adee
semanticscholar   +1 more source

Approximate Solution of a Nonlinear Volterra–Fredholm Integral Equations Via New 𝒵‐Iterative Algorithm

Mathematical methods in the applied sciences
In this paper, we pay attention to explore the existence of common fixed points of a pair of C$$ C $$ ‐ α$$ \alpha $$ nonexpansive mappings. To execute the objective, firstly, we propose a novel three step iterative algorithm, namely 𝒵 ‐iteration, for a ...
S. Zaheer, A. Chanda, Hemant Kumar Nashine   +2 more
semanticscholar   +1 more source