Integration of First-order Modeled Differential Equations Using a Quarter-step Method
J. Sunday, D. Yusuf, J. N. Andest
Advances in Research · pp. 1–8 · Published 15 Apr 2016
10.9734/AIR/2016/25688Abstract
In this paper, we present the derivation and implementation of a quarter-step method for the integration of first-order modeled differential equations. The quarter-step method was developed using Laguerre polynomial of degree six as our basis function via interpolation and collocation techniques. We went further to apply the quarter-step method developed on some modeled first order differential equations. The paper also analyzed the basic properties of the method derived. From the results obtained, it is obvious that the method is computationally reliable.
References (6)
- 1 Numerical Methods for Ordinary Differential Systems: The Initial Value Problem
- 2 Numerical integrators for stiff and highly oscillatory differential equations [DOI]
- 3 Numerical Solution of Stiff and Oscillatory Differential Equations Using a Block Integrator [DOI]
- 4 A Quarter-Step Hybrid Block Method for First-Order Ordinary Differential Equations [DOI]
- 5 Extended Block Integrator for First-Order Stiff and Oscillatory Differential Equations
- 6 Implicit One-Step Legendre Polynomial Hybrid Block Method for the Solution of First-Order Stiff Differential Equations [DOI]
Cited by 4
Jimevwo Godwin Ogh, Olaide Adetola Ad, H. Akewe · Asian Journal of Scientific Research · 2018
J. Sunday, P. Tumba · 2017
Adamu Samuel, Anjikwi Favour, Bukar Hassan · UMYU Scientifica · 2025
Showing 3 of 4 known citations — external sources report more than can currently be individually listed.
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.
69
Page views
0
PDF downloads
15
Outbound clicks
4
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
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.