# Article

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Keywords:
second derivative method; collocation and interpolation; initial value problem; stiff stability; boundary locus
Summary:
In this paper, a class of A($\alpha$)-stable linear multistep formulas for stiff initial value problems (IVPs) in ordinary differential equations (ODEs) is developed. The boundary locus of the methods shows that the schemes are A-stable for step number $k\le 3$ and stiffly stable for $k=4, 5$ and $6$. Some numerical results are reported to illustrate the method.
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