TITLE:
A New Block-Predictor Corrector Algorithm for the Solution of y’’’=f(x, y, y’, y’’)
AUTHORS:
Adetola O. Adesanya, Mfon O. Udo, Adam M. Alkali
KEYWORDS:
Collection; Interpolation; Power Series; Approximant; Linear Multistep; Continuous Coefficient; Block Method
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.2 No.4,
December
31,
2012
ABSTRACT: We consider direct solution to third order ordinary differential equations in this paper. Method of collection and interpolation of the power series approximant of single variable is considered to derive a linear multistep method (LMM) with continuous coefficient. Block method was later adopted to generate the independent solution at selected grid points. The properties of the block viz: order, zero stability and stability region are investigated. Our method was tested on third order ordinary differential equation and found to give better result when compared with existing methods.