We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Numerical simulation of initial value problem of integro-differential equation models.
- Authors
Alharbi, F. M.; Althubiti, S. S.
- Abstract
In this article, the Volterra-Fredholm integral equation is derived from an initial value problem of kind integro-differential equation. We discuss the existence and uniqueness of the solution to the problem in Hilbert space. A numerical method is used to reduce this type of equation to the system of Fredholm integral equations of the second kind. In light of this, the Collocation method and the Galerkin method are used to solve the system of second-order Fredholm integral equations and calculate the error in each case. Finally, the approximate and exact solutions are plotted on the same coordinate plane using MATLAB code (2022).
- Subjects
INITIAL value problems; FREDHOLM equations; INTEGRAL equations; GALERKIN methods; COMPUTER simulation; INTEGRO-differential equations; COLLOCATION methods; VOLTERRA equations
- Publication
European Journal of Pure & Applied Mathematics, 2024, Vol 17, Issue 1, p286
- ISSN
1307-5543
- Publication type
Article
- DOI
10.29020/nybg.ejpam.v17i1.5024