A Self Starting Block Adams Methods for Solving Stiff Ordinary Differential Equation

A self starting multistep method with continuous coefficient is developed through interpolation and collocation procedures and used to obtain the Adams-type methods that are assembled into block matrix equation for solving initial value problems (IVPs) with emphasis on stiff ordinary differential equations. The methods are numerical integrators which are combined to simultaneously provide the approximate solution for IVPs. The stability of the resulting block methods is discussed and the superiority of the block methods over existing ones, such as the boundary value methods and the standard Adams methods is established numerically.