Vesna Divković’s scientific contributions

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Publications (2)


O numeričkom rješavanju Cauchyjevog problema Runge-Kutta metodama na Shishkinovoj mreži
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November 2023

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22 Reads

Vesna Divković

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Laura Lukić

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U ovom radu razmatrano je numeričko rješavanje singularno-perturbacionog Cauchyjevog problema Runge-Kutta metodama na Shishkinovoj mreži. Numerička rješenja posmatranog problema dobijena su korištenjem dvije eksplicitne i jedne implicitne Runge-Kutta metode na najjednostavnijoj slojno-adaptivnoj mreži. Na kraju su dobijeni rezultati uporedeni.

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Table 2 :
Figure 3: Generisanje Shishkinove mreže iz uniformne mreže funkcijom φ
Vrijednosti greške E N i brzine konvergencije Ord za različite vrijednosti N i ε
O numeričkom rješavanju Cauchyjevog problema Runge-Kutta metodama na Shishkinovoj mreži

June 2023

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32 Reads

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.