Implementation of α-type multistep methods for stiff differential equations

摘要

The α-type multistep methods have the form of Yn+kαnYn+k-1+(αn-1)Yn+k-2=hn+kΣi=0kβi,nfn+1 where 0 < αn < 2. They are stable for all order and step size changing sequences when implemented in a variable coefficient form. This paper will discuss some of the results of when these methods are applied to stiff differential equations.