Results 151 to 160 of about 7,017 (197)

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.
Zhong Chen, Wei Jiang
semanticscholar   +2 more sources

A matrix based method for two dimensional nonlinear Volterra-Fredholm integral equations

Numerical Algorithms, 2015
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 ...
S. A. Hosseini, S. Shahmorad, F. Talati
semanticscholar   +3 more sources

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
semanticscholar   +2 more sources

Convergence analysis of hybrid functions method for two-dimensional nonlinear Volterra-Fredholm integral equations

Journal of Computational and Applied Mathematics, 2020
An interesting and computationally efficient scheme is proposed for solving a class of two-dimensional nonlinear Volterra–Fredholm integral equations.
K. Maleknejad, E. Saeedipoor
semanticscholar   +2 more sources

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

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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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

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

Applied Mathematics and Computation, 2019
The aim of this paper is to investigate an efficient numerical method based on a novel shifted piecewise cosine basis for solving Volterra–Fredholm integral equations of the second kind.
Sadegh Amiri, M. Hajipour, D. Baleanu
semanticscholar   +1 more source

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.
openaire   +1 more source