Nonstandard finite difference schemes for a class of generalized convection-diffusion-reaction equations

Lisha Wang; L.-I. W. Roeger

doi:10.1002/num.21951

Nonstandard finite difference schemes for a class of generalized convection-diffusion-reaction equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21951 ◽

2014 ◽

Vol 31 (4) ◽

pp. 1288-1309 ◽

Cited By ~ 1

Author(s):

Lisha Wang ◽

L.-I. W. Roeger

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Diffusion Reaction ◽

Finite Difference Schemes ◽

Convection Diffusion ◽

Reaction Equations ◽

Nonstandard Finite Difference

Download Full-text

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

Download Full-text

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

Download Full-text

Spectral analysis of finite difference schemes for convection diffusion equation

Computers & Fluids ◽

10.1016/j.compfluid.2017.04.009 ◽

2017 ◽

Vol 150 ◽

pp. 95-114 ◽

Cited By ~ 14

Author(s):

V.K. Suman ◽

Tapan K. Sengupta ◽

C. Jyothi Durga Prasad ◽

K. Surya Mohan ◽

Deepanshu Sanwalia

Keyword(s):

Spectral Analysis ◽

Finite Difference ◽

Diffusion Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Convection Diffusion ◽

Convection Diffusion Equation

Download Full-text

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

Download Full-text

Conditioning of finite difference schemes for a singularly perturbed convection-diffusion parabolic equation

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542508050072 ◽

2008 ◽

Vol 48 (5) ◽

pp. 769-785 ◽

Cited By ~ 6

Author(s):

G. I. Shishkin

Keyword(s):

Parabolic Equation ◽

Finite Difference ◽

Difference Schemes ◽

Singularly Perturbed ◽

Finite Difference Schemes ◽

Convection Diffusion

Download Full-text

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

Download Full-text

Uniformly Convergent Finite Difference Schemes for Singularly Perturbed Convection Diffusion Type Delay Differential Equations

Differential Equations and Dynamical Systems ◽

10.1007/s12591-018-00451-x ◽

2019 ◽

Author(s):

V. Subburayan ◽

N. Ramanujam

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Delay Differential Equations ◽

Difference Schemes ◽

Singularly Perturbed ◽

Finite Difference Schemes ◽

Diffusion Type ◽

Convection Diffusion ◽

Uniformly Convergent ◽

Delay Differential

Download Full-text

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

Download Full-text

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

Download Full-text

Explicit finite difference schemes adapted to advection–reaction equations

International Journal of Computer Mathematics ◽

10.1080/00207160701389978 ◽

2008 ◽

Vol 85 (3-4) ◽

pp. 547-558 ◽

Cited By ~ 1

Author(s):

J. Martín-Vaquero ◽

J. Vigo-Aguiar

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Explicit Finite Difference ◽

Reaction Equations

Download Full-text