arXiv subjects

Elvir Memić

Publications and source records attributed to Elvir Memić.

2 recordsLinked to original sources

arXiv2023

O numeričkom rješavanju Cauchyjevog problema Runge-Kutta metodama na Shishkinovoj mreži

In this paper, the numerical solution of the singular-perturbation Cauchy problem by Runge-Kutta methods on the Shishkin grid is discussed. Numerical solutions of the observed problem were obtained using two explicit and one implicit Runge-Kutta method on the simplest layer-adaptive network. Finally, the obtained results were compared.

math.NA↗

arXiv2017

Uniformly Convergent Difference Scheme for a Semilinear Reaction-Diffusion Problem on Shishikin mesh

In this paper we consider two difference schemes for numerical solving of a one--dimensional singularly perturbed boundary value problem. We proved an $\varepsilon$--uniform convergence for both difference schemes on a Shiskin mesh. Finally, we present four numerical experiments to confirm the theoretical results.

math.NA↗