A Family of L(α) − stable Block Methods for Stiff Ordinary Differential Equations

摘要

A family of self-starting L(α)-stable linear multistep block methods (LMBMs) for solving stiff initial value problems (IVPs) in ordinary differential equations (ODEs) is proposed. The constructions are done by pairing three-step Top Order Method (TOM) and k-step Backward Differentiation Formulas (BDF) and using the shifting techniques introduced by Ajie et al (2011). The performance of the resultant block methods on the numerical examples considered shows their effectiveness.