| Issue |
ESAIM: M2AN
Volume 57, Number 1, January-February 2023
|
|
|---|---|---|
| Page(s) | 227 - 241 | |
| DOI | https://doi.org/10.1051/m2an/2022075 | |
| Published online | 30 January 2023 | |
Asymptotic-numerical solvers for linear neutral delay differential equations with high-frequency extrinsic oscillations
1
University Ibn Tofail, Dept of Mathematics, B.P. 242, Kenitra, Morocco
2
University Cadi-Ayyad, FST-Guelitz, Dept of Mathematics, B.P. 517, Marrakech, Morocco
* Corresponding author: mus.kzaz@gmail.com
Received:
25
October
2021
Accepted:
20
July
2022
We present a method to compute efficiently and easily solutions of systems of linear neutral delay differential equations with highly oscillatory forcing terms. This method is based on asymptotic expansions in inverse powers of a perturbed oscillatory parameter. Each term of the asymptotic expansion is derived by recursion. The cost of the computation is essentially independent of the oscillatory parameter. Numerical examples are provided and show that with few terms of the asymptotic expansion, the solutions are approximated with high accuracy.
Mathematics Subject Classification: 34E05 / 34E99 / 42A99 / 34K28
Key words: Asymptotic expansion / neutral delay differential equations
© The authors. Published by EDP Sciences, SMAI 2023
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