A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability
نویسندگان
1 Department of Mathematics, Jimma University, Jimma, Ethiopia.
2 Department of Mathematics, Wollega University, Nekemte, Ethiopia.
doi
10.22034/cmde.2021.44306.1873چکیده
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) $.
