Fitted second order numerical method for a singularly perturbed Fredholm integro-differential equation
| Autor: | Mustafa Kudu, Muhammet Enes Durmaz, Gabil M. Amiraliyev |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Singular perturbation
45J05 65L20 Fredholm integro-differential equation 65L11 General Mathematics Uniform convergence Numerical analysis 65L12 Finite difference method shishkin mesh 65R20 uniform convergence Quadrature (mathematics) Integro-differential equation Norm (mathematics) Applied mathematics Remainder singular perturbation finite difference methods Mathematics |
| Zdroj: | Bull. Belg. Math. Soc. Simon Stevin 27, no. 1 (2020), 71-88 |
| Popis: | In this paper, we consider the linear first order singularly perturbed Fredholm integro-differential equation. For the solution of this problem, fitted difference scheme is constructed on a Shishkin mesh. 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 method is proved to be second-order convergent in the discrete maximum norm. Also, numerical results are given to support theoretical analysis. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|