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(1)
Finite Difference Method
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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
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Contributions to the mathematics of the nonstandard finite difference method and applications
(
Citations: 48
)
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Roumen Anguelov
,
Jean M.S. Lubuma
Journal:
Numerical Methods for Partial Differential Equations  NUMER METHOD PARTIAL DIFFER E
, vol. 17, no. 5, pp. 518543, 2001
DOI:
10.1002/num.1025
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doi.wiley.com
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Citation Context
(15)
...The finite difference scheme (<0002" reftype="dispformula">2) is an NSFD scheme [
1
,
5
] if (i) in the discrete derivative
LihIng W. Roeger
.
Nonstandard finite difference schemes for the differential equation y...
...This scheme, developed by Mickens
2022
, 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 Ding
,
et al.
A nonstandard finite difference scheme for an epidemic model with vac...
...2) is similar to some nonstandard 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" reftype="dispformula">2) and the numerical method (<0003" reftype="dispformula">3) regarding stability of their equilibrium points [
2
]...
Dobromir T. Dimitrov
,
et 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. Anguelov
,
et al.
Topological dynamic consistency of nonstandard finite difference sche...
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Citations
(48)
Nonstandard finite difference schemes for the differential equation y′(t)=bny +bn−1y +…+b1y+b0
LihIng W. Roeger
Journal:
Journal of Difference Equations and Applications  J DIFFER EQU APPL
, vol. 18, no. 2, pp. 305312, 2012
A nonstandard finite difference scheme for an epidemic model with vaccination
Deqiong Ding
,
Qiang Ma
,
Xiaohua Ding
Journal:
Journal of Difference Equations and Applications  J DIFFER EQU APPL
, vol. aheadofp, no. aheadofp, pp. 112, 2011
On the time discretization for the globally modified three dimensional NavierStokes equations
G. Deugoue
,
J. K. Djoko
Journal:
Journal of Computational and Applied Mathematics  J COMPUT APPL MATH
, vol. 235, no. 8, pp. 20152029, 2011
A Green's function formulation of nonlocal finitedifference schemes for reactiondiffusion equations
Eliseo HernandezMartinez
,
Francisco J. ValdesParada
,
Jose AlvarezRamirez
Journal:
Journal of Computational and Applied Mathematics  J COMPUT APPL MATH
, vol. 235, no. 9, pp. 30963103, 2011
Dynamicallyconsistent nonstandard finite difference method for an epidemic model
S. M. Garba
,
A. B. Gumel
,
J. M.S. Lubuma
Journal:
Mathematical and Computer Modelling  MATH COMPUT MODELLING
, vol. 53, no. 12, pp. 131150, 2011