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An Exponentially Fitted Spline Method for Second Order Singularly Perturbed Delay Differential Equations | ||
| Iranian Journal of Science | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 16 شهریور 1394 | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2015.3163 | ||
| نویسندگان | ||
| Podila Pramod Chakravarthy* 1؛ Dinesh Kumar S1؛ Nageshwar Rao R2 | ||
| 1Visvesvaraya National Institute of Technology, Nagpur | ||
| 2School of Advanced Sciences, VIT Univesity, Vellore, Tamilnadu, 632014, INDIA | ||
| چکیده | ||
| 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. An exponentially fitted difference scheme on a uniform mesh which is accomplished by the method based on cubic spline in compression. The difference scheme is shown to converge to the continuous solution uniformly with respect to the perturbation parameter is illustrated with numerical results. | ||
| کلیدواژهها | ||
| Singular perturbations؛ Cubic spline in compression؛ boundary layer؛ delay differential equation؛ exponentially fitted finite difference method | ||
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