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Contributions to the mathematics of the nonstandard finite difference method and applications

Contributions to the mathematics of the nonstandard finite difference method and applications,10.1002/num.1025,Numerical Methods for Partial Different

Contributions to the mathematics of the nonstandard finite difference method and applications   (Citations: 48)
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    • ...This scheme, developed by Mickens 20-22, is well known and has brought the creation of new numerical schemes that preserve the properties of the continuous model [2,3,6,7,9,10,12,15,23]...

    Deqiong Dinget al. A non-standard finite difference scheme for an epidemic model with vac...

    • ...2) is similar to some non-standard finite difference schemes, compare [2,28,29]...

    Jan L. Cieśliński. On the exact discretization of the classical harmonic oscillator equat...

    • ...The next definition establishes stronger dynamic correspondence between the differential system (<0002" ref-type="disp-formula">2) and the numerical method (<0003" ref-type="disp-formula">3) regarding stability of their equilibrium points [2]...

    Dobromir T. Dimitrovet al. Dynamically consistent numerical methods for general productive–destru...

    • ...Two of the authors introduced in [2] the concept of qualitative stability of an NSFDS with respect to a given property...

    R. Anguelovet al. Topological dynamic consistency of non-standard finite difference sche...

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