A fitted approximate method for a Volterra delay-integro-differential equation with initial layer

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Hacettepe Journal of Mathematics and Statistics
Volume:48 Issue:5
A fitted approximate method for a Volterra delay-integro-differential equation with initial layer

A fitted approximate method for a Volterra delay-integro-differential equation with initial layer

Authors : Gabil M AMİRALİYEV, Ömer YAPMAN, Mustafa KUDU

Pages : 1417-1429

View : 52 | Download : 7

Publication Date : 2019-10-08

Article Type : Research Paper

Abstract :This study is concerned with the finite-difference solution of singularly perturbed initial value problem for a linear first order Volterra integro-differential equation with delay. The method is based on the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with the weight and remainder terms in integral form. The emphasis is on the convergence of numerical method. It is shown that the method displays uniform convergence in respect to the perturbation parameter. Numerical results are also given.
Keywords : Volterra delay integro differential equation, singular perturbation, finite difference, uniform convergence

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.