A new numerical algorithm for time-dependent singularly perturbed differential-difference convection–diffusion equation arising in computational neuroscience

MP Alam, A Khan - Computational and Applied Mathematics, 2022 - Springer
In this paper, we study and construct a higher order numerical algorithm for singularly
perturbed differential-difference convection–diffusion equation with retarded term appearing …

Haar wavelet based numerical approach for a two-parameter singularly perturbed boundary value problem with discontinuity in convection coefficient and source term

PC Podila, V Sundrani - Lithuanian Mathematical Journal, 2025 - Springer
In this paper, we use nonuniform Haar wavelets to find a numerical solution of a two-
parameter singularly perturbed boundary value problem with discontinuous convection …

A novel quintic B-spline technique for numerical solution of fourth-order singularly-perturbed boundary value problems with discontinuous source terms

ST Mane, RK Lodhi - Boundary Value Problems, 2024 - Springer
The current research proposes a novel efficient quintic B-spline (QBS) numerical technique
based on piecewise uniform mesh for the numerical solution of fourth-order singularly …