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Akhavan Ghassabzade, Fahimeh, Saberi-Nadjafi, Jafar, Soheili, Ali Reza. (1400). A method based on the meshless approach for the numerical solution of the singularly perturbed differential-difference equation arising in the modeling of neuronal variability. پژوهشنامه مدیریت اجرایی, 10(2), 210-223. doi: 10.22080/cjms.2020.18475.1474
Fahimeh Akhavan Ghassabzade; Jafar Saberi-Nadjafi; Ali Reza Soheili. "A method based on the meshless approach for the numerical solution of the singularly perturbed differential-difference equation arising in the modeling of neuronal variability". پژوهشنامه مدیریت اجرایی, 10, 2, 1400, 210-223. doi: 10.22080/cjms.2020.18475.1474
Akhavan Ghassabzade, Fahimeh, Saberi-Nadjafi, Jafar, Soheili, Ali Reza. (1400). 'A method based on the meshless approach for the numerical solution of the singularly perturbed differential-difference equation arising in the modeling of neuronal variability', پژوهشنامه مدیریت اجرایی, 10(2), pp. 210-223. doi: 10.22080/cjms.2020.18475.1474
Akhavan Ghassabzade, Fahimeh, Saberi-Nadjafi, Jafar, Soheili, Ali Reza. A method based on the meshless approach for the numerical solution of the singularly perturbed differential-difference equation arising in the modeling of neuronal variability. پژوهشنامه مدیریت اجرایی, 1400; 10(2): 210-223. doi: 10.22080/cjms.2020.18475.1474

A method based on the meshless approach for the numerical solution of the singularly perturbed differential-difference equation arising in the modeling of neuronal variability

Caspian Journal of Mathematical Sciences
مقاله 7، دوره 10، شماره 2، اسفند 2021، صفحه 210-223    اصل مقاله (311.14 K)
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22080/cjms.2020.18475.1474
نویسندگان
Fahimeh Akhavan Ghassabzade* 1؛ Jafar Saberi-Nadjafi2؛ Ali Reza Soheili3
1Department of Mathematics, Faculty of Sciences, University of Gonabad, Gonabad, Iran.
2Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
3Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran. Mashhad‎, ‎Iran.
تاریخ دریافت: 11 فروردین 1399،  تاریخ بازنگری: 19 اردیبهشت 1399،  تاریخ پذیرش: 23 اردیبهشت 1399 
چکیده
In this paper, an efficient procedure based on the multiquadric radial
basis functions (RBFs) collocation method is applied for the numerical so-
lution of the singularly perturbed differential-difference (SPDDE) equation.
The method is coupled with the Residual subsampling algorithm for sup-
port adaptivity. The problem considered in this paper shows turning point
behavior which is added to the complexity in the construction of numerical
approximation to the solution of the problem. The proposed algorithm is
very simple to perform. Some numerical examples are given to validate the
computational efficacy of the suggested numerical scheme.
کلیدواژه‌ها
differential-difference equation؛ neuronal variability؛ multiquadric col- location method؛ radial basis function
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