3 papers
math.NA2018
A class of difference schemes uniformly convergent on a modified Bakhvalov mesh
Samir Karasuljić, Helena Zarin, Enes Duvnjaković
In this paper we consider the numerical solution of a singularly perturbed one-dimensional semilinear reaction-diffusion problem. A class of differential schemes is constructed. Th…
math.NA2017
On the Discontinuous Galerkin Finite Element Method for Reaction-Diffusion Problems: Error Estimates in Energy and Balanced Norms
Helena Zarin, Hans-Goerg Roos
A nonsymmetric discontinuous Galerkin FEM with interior penalties has been applied to one-dimensional singularly perturbed reaction-diffusion problems. Using higher order splines o…
math.NA2014
A uniformly convergent difference scheme on a modified Shishkin mesh for the singular perturbation boundary value problem
Enes Duvnjaković, Samir Karasuljić, Vedad Pasic +1
In this paper we are considering a semilinear singular perturbation reaction -- diffusion boundary value problem, which contains a small perturbation parameter that acts on the hig…