A Fifth-Order Hybrid Block Integrator for Third-Order Initial Value Problems

Abstract

The formulation of hybrids block method as integrator of third-order Initial Value Problems in Ordinary Differential Equations is our focus in this paper. Chebyshev polynomials were used as trial function to develop a hybrid One-step Method (HBOSM3) adopting collocation and interpolation technique. The basic properties of HBOSM3 were integrated and findings revealed that the method was accurate and convergent. One of desirable features of these methods is the production of exact solutions at the grid points.