5 citations · 5 across the 3 of their papers we have counts for
3 papers
math.NA2020
The parameter-uniform convergence of a fitted operator method on non-uniform meshes for a singularly perturbed initial value problem
John J. H. Miller
The parameter-uniform convergence of a fitted operator method for a singularly perturbed differential equation is normally available only for uniform meshes. Here we establish the…
math.NA2019
A parameter uniform essentially first order convergent numerical method for a parabolic singularly perturbed differential equation of reaction-diffusion type with initial and Robin boundary conditions
R. Ishwariya, J. J. H. Miller, S. Valarmathi
In this paper, a class of linear parabolic singularly perturbed second order differential equations of reaction-diffusion type with initial and Robin boundary conditions is conside…
math.NA2018★ 5 cited
A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations
Saravana Sankar Kalaiselvan, John J. H. Miller, Valarmathi Sigamani
In this paper, a boundary value problem for a singularly perturbed linear system of two second order ordinary differential equations of convection- diffusion type is considered on…