A FAMILY OF HYBRID LINEAR MULTI-STEP METHODS TYPE FOR SPECIAL THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS

Abstract

In this paper, we derive a family of three step hybrid linear multi-step method type with one to three off-step points. Orders and error constants and convergence analysis of the proposed method are established. Numerical experiments on special third order initial and boundary value problems (IVPs, BVPs) are performed to show the efficiency and accuracy of the proposed methods over existing method found in the literature.