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- W2580459080 abstract "The purpose of this paper is to study oscillation of Runge-Kutta methods for linear advanced impulsive differential equations with piecewise constant arguments. We obtain conditions of oscillation and nonoscillation for Runge-Kutta methods. Moreover, we prove that the oscillation of the exact solution is preserved by the θ-methods. It turns out that the zeros of the piecewise linear interpolation functions of the numerical solution converge to the zeros of the exact solution. We give some numerical examples to confirm the theoretical results." @default.
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- W2580459080 date "2017-01-27" @default.
- W2580459080 modified "2023-10-18" @default.
- W2580459080 title "Oscillation of Runge-Kutta methods for advanced impulsive differential equations with piecewise constant arguments" @default.
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- W2580459080 doi "https://doi.org/10.1186/s13662-016-1067-0" @default.
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