TY - JOUR
ID - 12797
TI - A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Daba, Imiru Takele
AU - Duressa, Gemechis File
AD - Department of Mathematics, Wollega University, Nekemte, Ethiopia.
AD - Department of Mathematics, Jimma University, Jimma, Ethiopia.
Y1 - 2022
PY - 2022
VL - 10
IS - 2
SP - 475
EP - 488
KW - Singularly perturbed problem
KW - Exponential cubic spline method
KW - implicit Euler method
KW - Delay parabolic differential equation
DO - 10.22034/cmde.2021.44306.1873
N2 - 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) $.
UR - https://cmde.tabrizu.ac.ir/article_12797.html
L1 - https://cmde.tabrizu.ac.ir/article_12797_0ce1b865e3f8ad5955d7c1541d608a5c.pdf
ER -