Journal
MATHEMATICS
Volume 9, Issue 23, Pages -Publisher
MDPI
DOI: 10.3390/math9233082
Keywords
positivity; elementary stability; nonstandard finite difference
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This paper introduces two nonstandard finite difference methods to solve an SIR epidemic model with superior accuracy compared to existing standard methods.
This paper aims to present two nonstandard finite difference (NFSD) methods to solve an SIR epidemic model. The proposed methods have important properties such as positivity and boundedness and they also preserve conservation law. Numerical comparisons confirm that the accuracy of our method is better than that of other existing standard methods such as the second-order Runge-Kutta (RK2) method, the Euler method and some ready-made MATLAB codes.
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