Open AccessDirect Block Predictor-Corrector Method for the Solution of General Fourth Order Odes
Author(s) -
B T Olabode,
T.J. Alabi
Publication year - 2013
Publication title -
journal of mathematics research
Language(s) - English
Resource type - Journals
eISSN - 1916-9809
pISSN - 1916-9795
DOI - 10.5539/jmr.v5n1p26
Subject(s) - mathematics , predictor–corrector method , collocation (remote sensing) , block (permutation group theory) , linear multistep method , ode , ordinary differential equation , interpolation (computer graphics) , initial value problem , power series , mathematical analysis , differential equation , geometry , computer science , differential algebraic equation , animation , computer graphics (images) , machine learning
This article presented the direct block predictor-corrector method for solving general higher order initial value problems of ordinary differential equation. Method of collocation and interpolation of power series approximate solution was used to derive a continuous linear multistep method. Block method was later used to generate the non overlapping solution at selected grid points. The method developed, is self starting, consistent, symmetric, zero-stable and convergent. The performance of the new block method was tested with some fourth order initial value problems and it was found to compare favorably with the existing methods