A positivity-preserving nonstandard finite difference scheme for the damped wave equation

Ronald E. Mickens; P. M. Jordan

doi:10.1002/num.20003

A positivity-preserving nonstandard finite difference scheme for the damped wave equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20003 ◽

2004 ◽

Vol 20 (5) ◽

pp. 639-649 ◽

Cited By ~ 56

Author(s):

Ronald E. Mickens ◽

P. M. Jordan

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Damped Wave Equation ◽

Positivity Preserving ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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A new positivity-preserving nonstandard finite difference scheme for the DWE

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20073 ◽

2005 ◽

Vol 21 (5) ◽

pp. 976-985 ◽

Cited By ~ 28

Author(s):

Ronald E. Mickens ◽

P. M. Jordan

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Positivity Preserving ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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A note on a positivity preserving nonstandard finite difference scheme for a modified parabolic reaction–advection–diffusion PDE

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2020.1841755 ◽

2020 ◽

Vol 26 (11-12) ◽

pp. 1423-1427

Author(s):

Ronald E. Mickens ◽

Talitha M. Washington

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Positivity Preserving ◽

Advection Diffusion ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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Mathematical modeling and nonstandard finite difference scheme analysis for the environmental and spillover transmissions of Avian Influenza A model

Dynamical Systems ◽

10.1080/14689367.2021.1872503 ◽

2021 ◽

pp. 1-40

Author(s):

A. Feukouo Fossi ◽

J. Lubuma ◽

C. Tadmon ◽

B. Tsanou

Keyword(s):

Mathematical Modeling ◽

Finite Difference ◽

Avian Influenza ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Influenza A ◽

Nonstandard Finite Difference Scheme ◽

Scheme Analysis ◽

Nonstandard Finite Difference

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A dynamically-consistent nonstandard finite difference scheme for the SICA model

Mathematical Biosciences and Engineering ◽

10.3934/mbe.2021231 ◽

2021 ◽

Vol 18 (4) ◽

pp. 4552-4571

Author(s):

Sandra Vaz ◽

◽

Delfim F. M. Torres ◽

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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A Nonstandard Finite Difference Scheme for SIS Epidemic Model with Delay: Stability and Bifurcation Analysis

Applied Mathematics ◽

10.4236/am.2012.36080 ◽

2012 ◽

Vol 03 (06) ◽

pp. 528-534 ◽

Cited By ~ 1

Author(s):

Agus Suryanto

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Bifurcation Analysis ◽

Epidemic Model ◽

Finite Difference Scheme ◽

Sis Epidemic Model ◽

Nonstandard Finite Difference Scheme ◽

Stability And Bifurcation Analysis ◽

Nonstandard Finite Difference ◽

Sis Epidemic

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Exact finite-difference scheme and nonstandard finite-difference scheme for coupled Burgers equation

Advances in Difference Equations ◽

10.1186/1687-1847-2014-122 ◽

2014 ◽

Vol 2014 (1) ◽

pp. 122 ◽

Cited By ~ 2

Author(s):

Lei Zhang ◽

Lisha Wang ◽

Xiaohua Ding

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Burgers Equation ◽

Nonstandard Finite Difference Scheme ◽

Coupled Burgers Equation ◽

Nonstandard Finite Difference

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A nonlinear nonstandard finite difference scheme for the linear time-dependent Schrödinger equation

The Journal of Difference Equations and Applications ◽

10.1080/10236190500489426 ◽

2006 ◽

Vol 12 (3-4) ◽

pp. 313-320 ◽

Cited By ~ 1

Author(s):

Ronald E. Mickens

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

Linear Time ◽

Time Dependent ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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A Nonstandard Finite Difference Scheme for Water-Related Disease Mathematical Model,

Applied Mathematics & Information Sciences ◽

10.18576/amis/130405 ◽

2019 ◽

Vol 13 (4) ◽

pp. 545-551 ◽

Cited By ~ 1

Author(s):

Meksianis Z., Bertha S., David Ndii, Djahi, Tambaru

Keyword(s):

Mathematical Model ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Related Disease ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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A smart nonstandard finite difference scheme for second order nonlinear boundary value problems

Journal of Computational Physics ◽

10.1016/j.jcp.2011.04.033 ◽

2011 ◽

Vol 230 (17) ◽

pp. 6464-6474 ◽

Cited By ~ 24

Author(s):

Utku Erdogan ◽

Turgut Ozis

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Boundary Value Problems ◽

Finite Difference Scheme ◽

Nonlinear Boundary ◽

Boundary Value ◽

Second Order ◽

Nonlinear Boundary Value Problems ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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A nonstandard finite difference scheme for a multi-group epidemic model with time delay

Advances in Difference Equations ◽

10.1186/s13662-017-1415-8 ◽

2017 ◽

Vol 2017 (1) ◽

Cited By ~ 1

Author(s):

Jinhu Xu ◽

Yan Geng

Keyword(s):

Time Delay ◽

Finite Difference ◽

Difference Scheme ◽

Epidemic Model ◽

Finite Difference Scheme ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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