A Family of Continuous Blended Block A-Stable Second Derivative Linear Multistep Methods for the solutions of Stiff System of Ordinary Differential Equations
In this paper, the formulation of the block second derivative Blended Linear Multistep methods for step numbers k=5,6 and7 was considered. We present a new family of blended block A-stable second derivative linear multistep methods of order p=k+2 for step numbers k=5,6 and 7 for the solution of stiff initial value problems. The newly constructed blended block methods are all A-stable, consistent, zero-stable and as such convergent. Numerical examples are considered to show the performance of the new methods.
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机译：本文考虑了阶数为k = 5,6和7的块二阶导数Blended Linear Multistep方法的制定。我们提出了一个新的混合块A稳定的二阶线性导数线性多步方法系列，其阶数为k = 5,6和7的阶数为p = k + 2，用于解决刚性初始值问题。新构造的混合块方法都是A稳定的，一致的，零稳定的，并且是收敛的。数值算例表明了新方法的性能。
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