MMN-2930
A numerical method for a second order singularly perturbed Fredholm integro-differential equation
Gabil M. Amiraliyev; Muhammet Enes Durmaz; Mustafa Kudu;Abstract
The boundary-value problem for a second order singularly perturbed Fredholm integro-differential equation was considered in this paper. For the numerical solution of this problem, we use an exponentially fi tted difference scheme on an uniform mesh which is succeeded by 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. Also, the method is first order convergent in the discrete maximum norm. Numerical example shows that recommended method
has a good approximation characteristic.
Vol. 22 (2021), No. 1, pp. 37-48
DOI: 10.18514/MMN.2021.2930