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 267
- Downloads 0
Correlation Between Grain Size Distribution and Silicon and Oxygen Contents at Wadi Arar Sediments, Kingdom of Saudi Arabia
Quartz is the major mineral of Wadi Arar sediments. The top two elements contents are oxygen with 63.96 wt%, followed by silicon with 16.35 wt%. There is a positive, weak to medium correlation between grain size and sili...
3D Buoyancy Induced Heat Transfer in Triangular Solar Collector Having a Corrugated Bottom Wall
A numerical study of the natural convection heat transfer and fluid flow in 3D triangular solar collector having a corrugated bottom wall has been carried out using finite volume method. The aim of the study is to invest...
Highly Compact Design of Trimmed Patch with Modified Partial Ground Structure for Extreme-Wideband Systems
In this paper, a novel highly compact microstrip monopole antenna with adjusted ground plane for ultra-wideband (UWB) applications is proposed. The patch antenna is composed of a trimmed radiator and rectangular ground p...
Effect of Single Oxide Fluxes on Morphology and Mechanical Properties of ATIG on 316 L Austenitic Stainless Steel Welds
Tungsten inert gas (TIG) is a wide common process used in fabrication due to its low cost equipment, high quality and accuracy welds but has low productivity related to the low penetration depth in single pass. A new per...
High-level Synthesis Integrated Verification
It is widely known in the engineering community that more than 60% of the IC design project time is spent on verification. For the very complex contemporary chips, this may prove prohibitive for the IC to arrive at the c...