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Caspian Journal of Mathematical Sciences، جلد ۱۰، شماره ۲، صفحات ۲۱۰-۲۲۳
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| عنوان فارسی |
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| چکیده فارسی مقاله |
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| کلیدواژه‌های فارسی مقاله |
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| عنوان انگلیسی |
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 |
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| چکیده انگلیسی مقاله |
In this paper, an efficient procedure based on the multiquadric radialbasis 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 pointbehavior which is added to the complexity in the construction of numericalapproximation to the solution of the problem. The proposed algorithm isvery simple to perform. Some numerical examples are given to validate thecomputational efficacy of the suggested numerical scheme. |
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| کلیدواژه‌های انگلیسی مقاله |
differential-difference equation, neuronal variability, multiquadric col- location method, Radial basis function |
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| نویسندگان مقاله |
Fahimeh Akhavan Ghassabzade |
Department of Mathematics, Faculty of Sciences, University of Gonabad, Gonabad, Iran.
Jafar Saberi-Nadjafi |
Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
Ali Reza Soheili |
Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
Mashhad‎, ‎Iran.
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| نشانی اینترنتی |
https://cjms.journals.umz.ac.ir/article_2587_b5e998ad4cc4cc280f1d5232186da122.pdf |
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| کد مقاله (doi) |
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| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
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