Direct Solution of Initial Value Problems of Fourth Order Ordinary Differential Equations Using Modified Implicit Hybrid Block Method
S. J. Kayode, M. K. Duromola, Bolarinwa Bolaji
Journal of Scientific Research and Reports · pp. 2792–2800 · Published 1 Sep 2014
10.9734/JSRR/2014/11953Abstract
Our focus in this article is the derivation; analysis and implementation of a new modified implicit hybrid block method for the direct solution of initial value problems of fourth order ordinary differential equations. In the derivation of the method, we adopted the approach of collocation approximation to obtain the main scheme with continuous coefficients. From the main scheme, additional schemes were developed. The implementation strategy of the new method is by combining the main scheme and the additional schemes as simultaneous integrator to initial value problem of fourth order ordinary differential equations. As required of any numerical method, the properties analysis of the block was done and the result showed that it is consistent, convergent, zero stable and absolutely stable. We then test our method with numerical examples solved using existing method and were found to give better results.
Cited by 18
M. K. Duromola · 2016
S. J. Kayode, A. A. Ganiyu, A. S. Ajiboye · 2016
K. H. Mansor, Z. Omar, Azizah Mohd Rohni · International Congress on Mathematical Software · 2019
O. Adeyeye, Z. Omar · International Congress on Mathematical Software · 2019
E. Adeyefa, A. Olagunju
Department of Mathematics, College of Science, Covenant University, P.M.B. 1023, Ota, Ogun State, Nigeria, Oghonyon Jimevwo Godwin, Bishop Sheila Amina · International Journal of ADVANCED AND APPLIED SCIENCES · 2018
O.M Ogunlaran, Michael Adeyinka Kehinde · Edumania-An International Multidisciplinary Journal · 2024
J. G. Oghonyon, S. A. Okunuga, K. S. Eke · Engineering, Technology & Applied Science Research · 2018
Related research
- Nonparametric Analysis of Two Distributed Motion Control Algorithms — shares topic coverage
- Numerical Treatment of General Third Order Ordinary Differential Equations Using Taylor Series as Predictor — shares topic coverage
- Two-Step Hybrid Block Method for Solving First Order Ordinary Differential Equations Using Power Series Approach — shares topic coverage
- Path Loss Modeling for Next Generation Wireless Network Using Fuzzy Logic - Spline Interpolation Technique — shares topic coverage
- A Self-Starting Five-Step Eight-Order Block Method for Stiff Ordinary Differential Equations — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
18
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.