Results 91 to 100 of about 18,920 (215)

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

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

Simple Two-Sided Convergence Method for a Special Boundary Value Problem with Retarded Argument

Axioms
This study utilizes approximation techniques to address a boundary value problem involving a differential equation with a delayed argument. The problem is approached through analytical techniques by transforming it firstly into an equivalent integral ...
Arzu Aykut, Ercan Çelik, İsrafil Okumuş   +2 more
doaj   +1 more source

Numerical Treatment of Nonlinear Volterra-Fredholm Integral Equation with a Generalized Singular Kernel

, 2016
In the paper, the approximate solution for the two-dimensional linear and nonlinear Volterra-Fredholm integral equation (V-FIE) with singular kernel by utilizing the combined Laplace-Adomian decomposition method (LADM) was studied.
F. A. Hendi, M. M. Al-Qarni
semanticscholar   +1 more source

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

Approximate solutions to several classes of Volterra and Fredholm integral equations using the neural network algorithm based on the sine-cosine basis function and extreme learning machine. [PDF]

Front Comput Neurosci, 2023
Lu Y, Zhang S, Weng F, Sun H.
europepmc   +1 more source

Fredholm boundary-value problem for the system of fractional differential equations. [PDF]

Nonlinear Dyn, 2023
Boichuk O, Feruk V.
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

Solution of nonlinear mixed integral equation via collocation method basing on orthogonal polynomials. [PDF]

Heliyon, 2022
Jan AR.
europepmc   +1 more source