The use of implicit single-step linear block method on third order ordinary differential equations by interpolation and collocation procedure

Abstract

This research showed the use of implicit single-step linear block method on third order ordinary differential equations by interpolation and collocation procedure. The block method is found using power series as a basic function through interpolation and collocation. The properties of the block method were considered. The outcome achieves on the application of new block method on selected tested modeled third order linear problems was found to give better approximation than the current methods in literature.