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• W2089759941 abstract "We focus on a numerical scheme applied for a fractional oscillator equation in a finite time interval. This type of equation includes a complex form of left- and right-sided fractional derivatives. Its analytical solution is represented by a series of left and right fractional integrals and therefore is difficult in practical calculations. Here we elaborated two numerical schemes being dependent on a fractional order of the equation. The results of numerical calculations are compared with analytical solutions. Then we illustrate convergence and stability of our schemes." @default.
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• W2089759941 date "2011-11-01" @default.
• W2089759941 modified "2023-09-26" @default.
• W2089759941 title "Numerical solution of fractional oscillator equation" @default.
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• W2089759941 doi "https://doi.org/10.1016/j.amc.2011.07.062" @default.
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