Results 81 to 90 of about 303 (179)

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

Fredholm-Volterra integral equation of the first kind with potential kernel

Le Matematiche, 2000
A series method is used to separate the variables of position and time for the Fredholm-Volterra integral equation of the first kind and the solution of the system in L_2 [0,1] × C[0,T], 0 ≤ t ≤ T < ∞ is obtained, the Fredholm integral equation is discussed using Krein's method. The kernel is written in a Legendre polynomial form.
M. H. Fahmy, M. A. Abdou, E. I. Deebs
openaire   +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

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

Analysis of the Error in a Numerical Method Used to Solve Nonlinear Mixed Fredholm-Volterra-Hammerstein Integral Equations [PDF]

Journal of Function Spaces and Applications, 2012
This work presents an analysis of the error that is committed upon having obtained the approximate solution of the nonlinear Fredholm-Volterra-Hammerstein integral equation by means of a method for its numerical resolution. The main tools used in the study of the error are the properties of Schauder bases in a Banach space.
openaire   +4 more sources

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

Numerical solution for Fredholm–Volterra integral equation of the second kind by using collocation and Galerkin methods

Journal of King Saud University - Science, 2010
AbstractThe Fredholm–Volterra integral equation of the second kind with continuous kernels with respect to position and time, is solved numerically, using the Collocation and Galerkin methods. Also the error, in each case, is estimated.
Hendi, F.A., Albugami, A.M.
openaire   +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