An Exponentially Fitted Spline Method for Second-Order Singularly Perturbed Delay Differential Equations
| Autor: | P. Pramod Chakravarthy, S. Dinesh Kumar, R. Nageshwar Rao |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
0209 industrial biotechnology
General Mathematics Mathematical analysis General Physics and Astronomy Perturbation (astronomy) 020206 networking & telecommunications 02 engineering and technology General Chemistry Delay differential equation Mixed boundary condition Method of matched asymptotic expansions Boundary layer Spline (mathematics) 020901 industrial engineering & automation 0202 electrical engineering electronic engineering information engineering Free boundary problem General Earth and Planetary Sciences Boundary value problem General Agricultural and Biological Sciences Mathematics |
| Zdroj: | Iranian Journal of Science and Technology, Transactions A: Science. 41:515-519 |
| ISSN: | 2364-1819 1028-6276 |
| Popis: | This paper deals with the singularly perturbed boundary value problem for the second-order delay differential equation. Similar boundary value problems are associated with expected first-exit times of the membrane potential in models of neurons. A fitted numerical scheme has been developed to solve the boundary value problem. The difference scheme which is shown to converge to the continuous solution uniformly with respect to the perturbation parameter is illustrated with numerical results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink