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An Asymptotic-Numerical Hybrid Method for Solving Singularly Perturbed Linear Delay Differential Equations.
- Source :
-
International Journal of Differential Equations . 2/8/2017, p1-8. 8p. - Publication Year :
- 2017
-
Abstract
- In this work, approximations to the solutions of singularly perturbed second-order linear delay differential equations are studied. We firstly use two-term Taylor series expansion for the delayed convection term and obtain a singularly perturbed ordinary differential equation (ODE). Later, an efficient and simple asymptotic method so called Successive Complementary Expansion Method (SCEM) is employed to obtain a uniformly valid approximation to this corresponding singularly perturbed ODE. As the final step, we employ a numerical procedure to solve the resulting equations that come from SCEM procedure. In order to show efficiency of this numerical-asymptotic hybrid method, we compare the results with exact solutions if possible; if not we compare with the results that are obtained by other reported methods. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16879643
- Database :
- Academic Search Index
- Journal :
- International Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 121185179
- Full Text :
- https://doi.org/10.1155/2017/7269450