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
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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Local Fractional Yang-Laplace Variational Method for Solving KdV Equation on Cantor Set
Homa Afraz *, Jafar Saberi-Nadjafi, Morteza Gachpazan, Hosein Jafari
Journal of Mathematical Extension, Mar 2023 -
Local Fractional Variational Yang-Laplace Method for solving local fractional partial differential Equations
Homa Afraz *,
New research in Mathematics,