Variable stepsize SDIMSIMs for ordinary differential equations

Second derivative general linear methods (SGLMs) have been already implemented in a variable stepsize environment using Nordsieck technique. In this paper, we introduce SGLMs directly on nonuniform grid. By deriving the order conditions of proposed $p$ and stage $q=p$, some explicit examples these up to four are given. numerical experiments, show efficiency solving nonstiff problems confirm theoretical convergence.