In this study, a robust computational method involving exponential cubic spline for solving singularly perturbed parabolic convection-diffusion equations arising in the modeling of neuronal variability has been presented. Some numerical examples are considered to validate the theoretical findings. The proposed scheme is shown to be an $\varepsilon-$uniformly convergent accuracy of order $ O\left( \left( \Delta t\right) +h^2 \right) $.
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Daba, I. T., & Duressa, G. F. (2022). A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability. Computational Methods for Differential Equations, 10(2), 475-488. doi: 10.22034/cmde.2021.44306.1873
MLA
Imiru Takele Daba; Gemechis File Duressa. "A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability". Computational Methods for Differential Equations, 10, 2, 2022, 475-488. doi: 10.22034/cmde.2021.44306.1873
HARVARD
Daba, I. T., Duressa, G. F. (2022). 'A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability', Computational Methods for Differential Equations, 10(2), pp. 475-488. doi: 10.22034/cmde.2021.44306.1873
VANCOUVER
Daba, I. T., Duressa, G. F. A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability. Computational Methods for Differential Equations, 2022; 10(2): 475-488. doi: 10.22034/cmde.2021.44306.1873
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