期刊
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
卷 13, 期 12, 页码 1179-1185出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/10236190701466439
关键词
exact numerical methods; ordinary differential equations; fixed-points; nonstandard finite-difference schemes
We construct nonstandard finite-difference (NSFD) schemes that provide exact numerical methods for a first-order differential equation having three distinct fixed-points. An explicit, but also nonexact, NSFD scheme is also constructed. It has the feature of preserving the critical properties of the original differential equation such as the positivity of the solutions and the stability behavior of the three fixedpoints.
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