Multistep Collocation Hybrid Block Method for Direct Solution of High Order Ordinary Differential Equations

Abstract

This paper gives an improve of the estimated solution for fifth-order IVP of ODEs, generalize three-step method with two off- step points are derived. Technique for collocation and interpolation is utilized where the approximated power series is considered as the basis function. The technique is utilized to an assortment of test problems. The stability properties of the technique are instituted. The outcomes produced demonstrated the advancement of the new method over the existing method in terms of error. Several illustrative numerical examples are given, were used to ascertain the accuracy of the method.