Block Milne’s Implementation For Solving Fourth Order Ordinary Differential Equations
Journal Title: Engineering, Technology & Applied Science Research - Year 2018, Vol 8, Issue 3
Abstract
Block predictor-corrector method for solving non-stiff ordinary differential equations (ODEs) started with Milne’s device. Milne’s device is an extension of the block predictor-corrector method providing further benefits and better results. This study considers Milne’s devise for solving fourth order ODEs. A combination of Newton’s backward difference interpolation polynomial and numerical integration method are applied and integrated at some selected grid points to formulate the block predictor-corrector method. Moreover, Milne’s devise advances the computational efficiency by applying the principal local truncation error (PLTE) of the block predictor-corrector method after establishing the order. The numerical results were exhibited to attest the functioning of Milne’s devise in solving fourth order ODEs. The complete results were obtained with the aid of Mathematica 9 kernel for Microsoft Windows. Numerical results showcase that Milne’s device is more effective than existent methods in terms of design new step size, determining the convergence criteria and maximizing errors at all examined convergence levels.
Authors and Affiliations
J. G. Oghonyon, S. A. Okunuga, K. S. Eke, O. A. Odetunmibi
Keywords
Related Articles
- EP ID EP168800
- DOI -
- Views 286
- Downloads 0
Implementation of MPPT Algorithm and Supervision of Shading on Photovoltaic Module
This paper presents an implementation of MPPT (maximum power point tracking) algorithm based on real-time measurements and on model-based simulation. For the supervision of a photovoltaic module, different cases of shadi...
Multicriteria Decision Making (MCDM) Methods for Ranking Estimation Techniques in Extreme Programming
It is essential to use multicriteria decision making (MCDM) methods to evaluate human judgments, for decision problems requiring the measuring of tangible and intangible criteria. Among the MCDM techniques, the analytic...
Rail-Route Planning Using a Geographical Information System (GIS)
The aim of this study is to analyse the potential of geographical information system (GIS) in decision making in rail route planning process. The various parameters affecting the alignment of rail route are considered in...
Geotechnical Properties of Rubber Tires and Sediments Mixtures
An experimental work was undertaken to study the effect of rubber tires on the geotechnical properties of a dredged sediment, using a mixing ratio of large size. For comparison, two types of soil were studied (dredged se...
Development of the Contiguous-cells Transportation Problem
The issue of scheduling a long string of multi-period activities which have to be completed without interruption has always been an industrial challenge. The existing production/maintenance scheduling algorithms can only...