A finite difference method on layer-adapted mesh for singularly perturbed delay differential equations
| Autor: | Onur Saldır, Fevzi Erdogan, Mehmet Giyas Sakar |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
General Computer Science
Applied Mathematics Numerical analysis Uniform convergence Finite difference method Perturbation (astronomy) 010103 numerical & computational mathematics Delay differential equation 01 natural sciences Mathematics::Numerical Analysis 010101 applied mathematics Modeling and Simulation Applied mathematics Initial value problem 0101 mathematics Engineering (miscellaneous) Mathematics |
| Zdroj: | Applied Mathematics and Nonlinear Sciences. 5:425-436 |
| ISSN: | 2444-8656 |
| DOI: | 10.2478/amns.2020.1.00040 |
| Popis: | The purpose of this paper is to present a uniform finite difference method for numerical solution of a initial value problem for semilinear second order singularly perturbed delay differential equation. A numerical method is constructed for this problem which involves appropriate piecewise-uniform Shishkin mesh on each time subinterval. The method is shown to uniformly convergent with respect to the perturbation parameter. A numerical experiment illustrate in practice the result of convergence proved theoretically. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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