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 |
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Rok vydání: | 2022 |
Předmět: | |
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 |
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