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- W1997978467 abstract "We deal with a 1D differential-difference equation governing the behavior of a n-mass oscillator. It is known that a string-type approximation is justified for low part of frequency spectra of a continuous model, but for free and forced oscillations a solution of a discrete model and of a wave equation can be quite different. The difference operator makes analysis difficult due to its non-local form. Approximate equations can be gained by replacing the difference operators via a local derivative operator. Although the application of a model with derivative of more than second order improves the continuous model, a higher order of approximated differential equation seriously complicates a solution to the stated problem. It is known that accuracy of the approximation can dramatically increase using one-point Padé approximation. In this report, we show that better results may be obtained when a two-point Padé approximation is applied." @default.
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- W1997978467 date "2005-09-01" @default.
- W1997978467 modified "2023-09-27" @default.
- W1997978467 title "Continuous models for 1D discrete media valid for higher-frequency domain" @default.
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- W1997978467 doi "https://doi.org/10.1016/j.physleta.2005.06.117" @default.
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