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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Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:

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.

Language:
English
Published:
Caspian Journal of Mathematical Sciences, Volume:10 Issue: 2, Summer Autumn 2021
Pages:
210 to 223
https://www.magiran.com/p2441283  
سامانه نویسندگان
  • Jafar Saberi Nadjafi
    Author (2)
    Full Professor Applied MathematicsDepartment of Applied Mathematics, Ferdowsi University, Mashhad, Iran
    Saberi Nadjafi، Jafar
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