Dynamically consistent nonstandard finite difference schemes for continuous dynamical systems

Nonstandard finite-difference schemes for general two-dimensional autonomous dynamical systems

Applied Mathematics Letters ◽

10.1016/j.aml.2004.08.011 ◽

2005 ◽

Vol 18 (7) ◽

pp. 769-774 ◽

Cited By ~ 32

Author(s):

Dobromir T. Dimitrov ◽

Hristo V. Kojouharov

Keyword(s):

Dynamical Systems ◽

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Autonomous Dynamical Systems ◽

Nonstandard Finite Difference

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Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations

The Journal of Difference Equations and Applications ◽

10.1080/10236190412331334527 ◽

2005 ◽

Vol 11 (7) ◽

pp. 645-653 ◽

Cited By ~ 100

Author(s):

Ronald E. Mickens

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Fundamental Principle ◽

Difference Schemes ◽

Dynamic Consistency ◽

Finite Difference Schemes ◽

Nonstandard Finite Difference

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Coupling finite volume and nonstandard finite difference schemes for a singularly perturbed Schrödinger equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1076569 ◽

2015 ◽

Vol 93 (11) ◽

pp. 1833-1844 ◽

Cited By ~ 5

Author(s):

A.A. Aderogba ◽

M. Chapwanya ◽

J. Djoko Kamdem ◽

J.M.-S. Lubuma

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Finite Volume ◽

Schrodinger Equation ◽

Difference Schemes ◽

Singularly Perturbed ◽

Finite Difference Schemes ◽

Nonstandard Finite Difference

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On the convergence of Mickens’ type nonstandard finite difference schemes on Lane-Emden type equations

Journal of Mathematical Chemistry ◽

10.1007/s10910-018-0880-y ◽

2018 ◽

Vol 56 (6) ◽

pp. 1667-1706 ◽

Cited By ~ 15

Author(s):

Amit Kumar Verma ◽

Sheerin Kayenat

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Nonstandard Finite Difference

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Numerical dynamics of nonstandard finite difference schemes for a computer virus propagation model

International Journal of Dynamics and Control ◽

10.1007/s40435-019-00604-y ◽

2019 ◽

Vol 8 (3) ◽

pp. 772-778 ◽

Cited By ~ 2

Author(s):

Quang A. Dang ◽

Manh Tuan Hoang

Keyword(s):

Finite Difference ◽

Computer Virus ◽

Difference Schemes ◽

Propagation Model ◽

Finite Difference Schemes ◽

Virus Propagation ◽

Computer Virus Propagation Model ◽

Nonstandard Finite Difference ◽

Numerical Dynamics

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Nonstandard finite difference schemes for solving an SIS epidemic model with standard incidence

Rendiconti del Circolo Matematico di Palermo (1952 -) ◽

10.1007/s12215-019-00436-x ◽

2019 ◽

Vol 69 (3) ◽

pp. 753-769 ◽

Cited By ~ 2

Author(s):

Manh Tuan Hoang ◽

Oluwaseun Francis Egbelowo

Keyword(s):

Finite Difference ◽

Epidemic Model ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Sis Epidemic Model ◽

Nonstandard Finite Difference ◽

Sis Epidemic

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Uniform asymptotic stability of a Logistic model with feedback control of fractional order and nonstandard finite difference schemes

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2019.03.031 ◽

2019 ◽

Vol 123 ◽

pp. 24-34 ◽

Cited By ~ 13

Author(s):

Manh Tuan Hoang ◽

A.M. Nagy

Keyword(s):

Feedback Control ◽

Asymptotic Stability ◽

Finite Difference ◽

Fractional Order ◽

Logistic Model ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Uniform Asymptotic Stability ◽

Nonstandard Finite Difference

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Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.04.021 ◽

2014 ◽

Vol 68 (9) ◽

pp. 1071-1082 ◽

Cited By ~ 11

Author(s):

Michael Chapwanya ◽

Jean M.-S. Lubuma ◽

Ronald E. Mickens

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Diffusion Equations ◽

Finite Difference Schemes ◽

Positivity Preserving ◽

Cross Diffusion ◽

Nonstandard Finite Difference

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A simple construction of nonstandard finite-difference schemes for small nonlinear systems applied to SIR models

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.06.034 ◽

2013 ◽

Vol 66 (11) ◽

pp. 2165-2177 ◽

Cited By ~ 5

Author(s):

K.F. Gurski

Keyword(s):

Nonlinear Systems ◽

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Simple Construction ◽

Nonstandard Finite Difference

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Nonstandard finite difference schemes for numerical solution of the fractional neutron point kinetics equations

Annals of Nuclear Energy ◽

10.1016/j.anucene.2016.12.031 ◽

2017 ◽

Vol 102 ◽

pp. 359-367 ◽

Cited By ~ 12

Author(s):

Yasser Mohamed Hamada ◽

M.G. Brikaa

Keyword(s):

Finite Difference ◽

Numerical Solution ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Point Kinetics ◽

Nonstandard Finite Difference

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