a robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability

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 ε−uniformly convergent accuracy of order o ((δt) + h^2).