Results 81 to 90 of about 303 (178)

A new computational method for Volterra-Fredholm integral equations

Computers & Mathematics with Applications, 1999
The decomposition method is applied to mixed Volterra-Fredholm integral equations. The presented method needs the Adomian decomposition series for that the bound is established. The considered theory is illustrated by two numerical examples.
Maleknejad, K., Hadizadeh, M.
openaire   +1 more source

A Projection Method for Solving Nonlinear Volterra-Fredholm Integral Equations using Legendre Hybrid Functions

Journal of Mathematical Extension, 2013
Since various problems in science and engineering fields can be modeled by nonlinear Volterra-Fredholm integral equations, the main focus of this study is to present an effective numerical method for solving them.
M. Roodaki, Z. JafariBehbahani
doaj  

The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w-distances

Advances in Difference Equations, 2017
In this work, we establish new fixed point theorems for w-generalized weak contraction mappings with respect to w-distances in complete metric spaces by using the concept of an altering distance function. As an application, we use the obtained results to
Teerawat Wongyat, Wutiphol Sintunavarat
doaj   +1 more source

A Fibonacci collocation method for solving a class of Fredholm–Volterra integral equations in two-dimensional spaces

Beni-Suef University Journal of Basic and Applied Sciences, 2014
In this paper, we present a numerical method for solving two-dimensional Fredholm–Volterra integral equations (F-VIE). The method reduces the solution of these integral equations to the solution of a linear system of algebraic equations.
Farshid Mirzaee, Seyede Fatemeh Hoseini
doaj   +1 more source

Theoretical and numerical results about some weakly singular Volterra-Fredholm equations

Journal of Numerical Analysis and Approximation Theory, 2008
In this paper existence, uniqueness results for the solution of some weakly singular linear Volterra and Volterra-Fredholm integral equations are given.
F. Calió, E. Marchetti, V. Mureșan
doaj   +2 more sources

Time-stepping methods for Volterra-Fredholm integral equations

Rendiconti di Matematica e delle Sue Applicazioni, 2003
Summary: The semidiscretization in space of Volterra-Fredholm integral equations (arising for example, as mathematical models of the spreading of epidemics) leads to large systems of Volterra integral equations. Here, we study inexpensive time-stepping methods using certain direct quadrature methods which are employed in a way that exploits the local ...
BRUNNER H, MESSINA, ELEONORA
openaire   +3 more sources

An approximate solution for a mixed linear Volterra–Fredholm integral equation

Applied Mathematics Letters, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Zhong, Jiang, Wei
openaire   +2 more sources

Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]

BMC Res Notes, 2023
Badeye SR, Woldaregay MM, Dinka TG.
europepmc   +1 more source

Haar wavelets method for solving class of coupled systems of linear fractional Fredholm integro-differential equations. [PDF]

Heliyon, 2023
Darweesh A, Al-Khaled K, Al-Yaqeen OA.
europepmc   +1 more source

A NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

Journal of Applied Analysis & Computation, 2013
In this paper, a numerical procedure for solving a class ofnonlinear Volterra-Fredholm integral equations is presented. Themethod is based upon the globally defined sinc basis functions.Properties of the sinc procedure are utilized to reduce thecomputation of the nonlinear integral equations to some algebraicequations.
openaire   +1 more source