- Hacettepe Journal of Mathematics and Statistics
- Vol: 52 Issue: 2
- An efficient numerical method for a singularly perturbed Volterra-Fredholm integro-differential equa...
An efficient numerical method for a singularly perturbed Volterra-Fredholm integro-differential equation
Authors : Muhammet Enes Durmaz, Ömer Yapman, Mustafa Kudu, Gabil Amirali
Pages : 326-339
Doi:10.15672/hujms.1050505
View : 11 | Download : 4
Publication Date : 2023-03-31
Article Type : Research
Abstract :The scope of this study is to establish an effective approximation method for linear first order singularly perturbed Volterra-Fredholm integro-differential equations. The finite difference scheme is constructed on Shishkin mesh by using appropriate interpolating quadrature rules and exponential basis function. The recommended method is second order convergent in the discrete maximum norm. Numerical results illustrating the preciseness and computationally attractiveness of the proposed method are presented.Keywords : finite difference methods, integro-differential equation, Shishkin mesh, singular perturbation, uniform convergence