A numerical integration technique for conservative oscillators combining nonstandard finite-difference methods with a Hamilton's principle

Ronald E. Mickens

doi:10.1016/j.jsv.2004.09.027

A numerical integration technique for conservative oscillators combining nonstandard finite-difference methods with a Hamilton's principle

Journal of Sound and Vibration ◽

10.1016/j.jsv.2004.09.027 ◽

2005 ◽

Vol 285 (1-2) ◽

pp. 477-482 ◽

Cited By ~ 15

Author(s):

Ronald E. Mickens

Keyword(s):

Finite Difference ◽

Numerical Integration ◽

Finite Difference Methods ◽

Hamilton’S Principle ◽

Integration Technique ◽

Hamilton's Principle ◽

Difference Methods ◽

Nonstandard Finite Difference

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Nonstandard Finite Difference Methods for Solving ODEs

Practical Numerical and Scientific Computing with MATLAB® and Python ◽

10.1201/9780429021985-8 ◽

2020 ◽

pp. 207-239

Author(s):

Eihab B. M. Bashier

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Difference Methods ◽

Nonstandard Finite Difference

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Nonstandard finite difference methods: recent trends and further developments

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2016.1144748 ◽

2016 ◽

Vol 22 (6) ◽

pp. 817-849 ◽

Cited By ~ 28

Author(s):

K. C. Patidar

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Recent Trends ◽

Difference Methods ◽

Nonstandard Finite Difference

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Analysis of a mathematical model for cancer treatment by the nonstandard finite difference methods

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2017.1318863 ◽

2017 ◽

Vol 23 (7) ◽

pp. 1222-1240 ◽

Cited By ~ 1

Author(s):

Marc E. Songolo ◽

Issa Ramadhani

Keyword(s):

Mathematical Model ◽

Finite Difference ◽

Cancer Treatment ◽

Finite Difference Methods ◽

Difference Methods ◽

Nonstandard Finite Difference

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Nonstandard finite-difference methods for predator–prey models with general functional response

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2007.05.001 ◽

2008 ◽

Vol 78 (1) ◽

pp. 1-11 ◽

Cited By ~ 36

Author(s):

Dobromir T. Dimitrov ◽

Hristo V. Kojouharov

Keyword(s):

Finite Difference ◽

Functional Response ◽

Finite Difference Methods ◽

Predator Prey ◽

Difference Methods ◽

Predator Prey Models ◽

Nonstandard Finite Difference

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Exact nonstandard finite-difference methods for a linear system – the case of centers

The Journal of Difference Equations and Applications ◽

10.1080/10236190701607669 ◽

2008 ◽

Vol 14 (4) ◽

pp. 381-389 ◽

Cited By ~ 11

Author(s):

Lih-Ing W. Roeger

Keyword(s):

Linear System ◽

Finite Difference ◽

Finite Difference Methods ◽

Difference Methods ◽

Nonstandard Finite Difference

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Nonstandard finite difference methods for solving models of population dynamics

10.1063/1.5141655 ◽

2019 ◽

Author(s):

Especially Angelina Kono ◽

Sudi Mungkasi

Keyword(s):

Population Dynamics ◽

Finite Difference ◽

Finite Difference Methods ◽

Difference Methods ◽

Nonstandard Finite Difference

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Construction and analysis of some nonstandard finite difference methods for the FitzHugh–Nagumo equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22468 ◽

2020 ◽

Vol 36 (5) ◽

pp. 1145-1169 ◽

Cited By ~ 1

Author(s):

Koffi M. Agbavon ◽

Appanah Rao Appadu

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Nagumo Equation ◽

Difference Methods ◽

Nonstandard Finite Difference

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Universal approaches to approximate biological systems with nonstandard finite difference methods

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2016.04.007 ◽

2017 ◽

Vol 133 ◽

pp. 337-350 ◽

Cited By ~ 8

Author(s):

Daniel T. Wood ◽

Hristo V. Kojouharov ◽

Dobromir T. Dimitrov

Keyword(s):

Finite Difference ◽

Biological Systems ◽

Finite Difference Methods ◽

Difference Methods ◽

Nonstandard Finite Difference

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On the use of nonstandard finite difference methods†

The Journal of Difference Equations and Applications ◽

10.1080/10236190500127471 ◽

2005 ◽

Vol 11 (8) ◽

pp. 735-758 ◽

Cited By ~ 61

Author(s):

Kailash C. Patidar

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Difference Methods ◽

Nonstandard Finite Difference

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Applications of Nonstandard Finite Difference Methods to Nonlinear Heat Transfer Problems

Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology ◽

10.5772/14439 ◽

2011 ◽

Cited By ~ 1

Author(s):

Alaeddin Malek

Keyword(s):

Heat Transfer ◽

Finite Difference ◽

Finite Difference Methods ◽

Nonlinear Heat Transfer ◽

Difference Methods ◽

Transfer Problems ◽

Nonstandard Finite Difference

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