An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition

Autor:	Muhammet Enes Durmaz, Ilhame Amirali, Gabil M. Amiraliyev
Rok vydání:	2022
Předmět:	Computational Mathematics Applied Mathematics
Zdroj:	Journal of Applied Mathematics and Computing. 69:505-528
ISSN:	1865-2085 1598-5865
Popis:	In this paper, a linear singularly perturbed Fredholm integro-differential initial value problem with integral condition is being considered. On a Shishkin-type mesh, a fitted finite difference approach is applied using a composite trapezoidal rule in both; in the integral part of equation and in the initial condition. The proposed technique acquires a uniform second-order convergence in respect to perturbation parameter. Further provided the numerical results to support the theoretical estimates.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3db2a3a6a4a0a843ee34442a703ee3e https://doi.org/10.1007/s12190-022-01757-4 Zobrazit plný text záznamu Full text from SpringerLink