O numeri\v{c}kom rje\v{s}avanju Cauchyjevog problema Runge-Kutta metodama na Shishkinovoj mre\v{z}i

Abstract

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.