A Quarter-Step Hybrid Block Method for First-Order Ordinary Differential Equations
J. Sunday, Y. Skwame, P. Tumba
Journal of Advances in Mathematics and Computer Science · pp. 269–278 · Published 9 Jan 2015
10.9734/BJMCS/2015/14139Abstract
In this paper, we derive a new quarter-step hybrid block method for the solution of first-order Ordinary Differential Equations (ODEs). We employ the approach of interpolating the power series and collocating the differential system within a quarter-step interval of integration. The evaluation is carried out at off grid points within the step of the method to produce various discrete schemes to form our block method. The basic properties of the new hybrid block method were further investigated. The new method was also tested on some problems and the results obtained were found to compete favorably with those of the existing ones.
Cited by 8
A. K. Jimoh · Earthline Journal of Mathematical Sciences · 2024
A. Muhammad, J. Kwanamu, Joshua Sunday · International Journal of Development Mathematics (IJDM) · 2024
A. Oluwaseun, O. Zurni · 2021
P. Tumba, J. Sabo, A. Okeke · Asian Research Journal of Mathematics · 2019
B. S. Kashkari, M. Syam · Results in Physics · 2019
J. Sunday · 2018
J. Sunday, D. Yusuf, J. Andest · 2016
J. Sunday, D. Yusuf, J. Andest · 2016
Related research
- Design and Development of Solar-biogas Hybrid Dryer for Onion Drying — shares topic coverage
- Quantifying the Nitrogen Requirement of Castor Cultivars in Post Monsoon Season on Alfisols — shares topic coverage
- To Assess the Impact of Insecticidal Spray on Leaf Curling Caused Due to Sucking Pest and Phytotoxic Effect of Higher Doses of Insecticides in Chilli — shares topic coverage
- Assessment of Bio-efficacy of Insecticides against Mites and Thrips Insect Pest of Chilli — shares topic coverage
- Computational Approach for the Solution of Some Electric Circuit Problems — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
8
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.