@article { author = {Daba, Imiru Takele and Duressa, Gemechis File}, title = {A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability}, journal = {Computational Methods for Differential Equations}, volume = {10}, number = {2}, pages = {475-488}, year = {2022}, publisher = {University of Tabriz}, issn = {2345-3982}, eissn = {2383-2533}, doi = {10.22034/cmde.2021.44306.1873}, abstract = {‎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) $‎.}, keywords = {Singularly perturbed problem,Exponential cubic spline method,implicit Euler method,Delay parabolic differential equation}, url = {https://cmde.tabrizu.ac.ir/article_12797.html}, eprint = {https://cmde.tabrizu.ac.ir/article_12797_0ce1b865e3f8ad5955d7c1541d608a5c.pdf} }