Analysis of numerical schemes of a mathematical model for sickle cell depolymerization

The purpose of this paper is to present and discuss numerical schemes for a mathematical model that describes carbon monoxide mediated sickle cell polymer melting. Two Runge–Kutta methods are analyzed and shown to be unstable by calculating the first failure value of step size and displaying the bif...

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Vydáno v:Applied mathematics and computation Ročník 216; číslo 5; s. 1489 - 1500
Hlavní autoři: Chen, Mingxiang, Clemence, Dominic P., Gibson, Gregory
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier Inc 01.05.2010
Elsevier
Témata:
Carbon monoxide
Computation
Depolymerization
Exact sciences and technology
Failure
Finite difference schemes
Mathematical analysis
Mathematical models
Mathematics
Melting
NSFD methods
Numerical analysis
Numerical analysis in abstract spaces
Numerical analysis. Scientific computation
Numerical methods in probability and statistics
Ordinary differential equations
Runge-Kutta method
Sciences and techniques of general use
Sickle cell melting
Finite difference schemes
Sickle cell melting
NSFD methods
Differential equation
Bifurcation
Polymer
Numerical method
Runge Kutta method
Stochastic method
Extrapolation
Numerical analysis
Multistep method
Applied mathematics
Abstract space
Mathematical model
Finite difference method
ISSN:0096-3003, 1873-5649
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Abstract The purpose of this paper is to present and discuss numerical schemes for a mathematical model that describes carbon monoxide mediated sickle cell polymer melting. Two Runge–Kutta methods are analyzed and shown to be unstable by calculating the first failure value of step size and displaying the bifurcation diagram of RK4. Two nonstandard finite difference (NSFD) schemes are proposed and analyzed; one is shown to be stable subject to a predictable bound on step size, while the second one is unconditionally stable.
AbstractList The purpose of this paper is to present and discuss numerical schemes for a mathematical model that describes carbon monoxide mediated sickle cell polymer melting. Two Runge-Kutta methods are analyzed and shown to be unstable by calculating the first failure value of step size and displaying the bifurcation diagram of RK4. Two nonstandard finite difference (NSFD) schemes are proposed and analyzed; one is shown to be stable subject to a predictable bound on step size, while the second one is unconditionally stable.
Author Gibson, Gregory
Chen, Mingxiang
Clemence, Dominic P.
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Issue 5
Keywords Finite difference schemes
Sickle cell melting
NSFD methods
Differential equation
Bifurcation
Polymer
Numerical method
Runge Kutta method
Stochastic method
Extrapolation
Numerical analysis
Multistep method
Applied mathematics
Abstract space
Mathematical model
Finite difference method
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Chen (10.1016/j.amc.2010.02.051_bib3) 2006; 12
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Aroutiounian (10.1016/j.amc.2010.02.051_bib1) 2001; 91
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SubjectTerms Carbon monoxide
Computation
Depolymerization
Exact sciences and technology
Failure
Finite difference schemes
Mathematical analysis
Mathematical models
Mathematics
Melting
NSFD methods
Numerical analysis
Numerical analysis in abstract spaces
Numerical analysis. Scientific computation
Numerical methods in probability and statistics
Ordinary differential equations
Runge-Kutta method
Sciences and techniques of general use
Sickle cell melting
Title Analysis of numerical schemes of a mathematical model for sickle cell depolymerization
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