The Construction of Implicit One-step Block Hybrid Methods with Multiple Off-grid Points for the Solution of Stiff Differential Equations
Y. Skwame, J. Sabo, T. Y. Kyagya
Journal of Scientific Research and Reports · pp. 1–7 · Published 27 Sep 2017
10.9734/JSRR/2017/36187Abstract
This paper is focused on the construction and implementation of implicit one-step hybrid block methods for the solution of stiff ordinary differential equation. The research further investigates the basic properties of implicit one-step block hybrid method. We noticed that the moment the value of an error constant is positive, the order P is odd. And when the value of an error constant is negative then the order P is of even number and the block hybrid method with three off-grid point is of uniform order. The performance of the methods was demonstrated on some stiff initial value problems (IVPs). The result revealed that the hybrid block methods are efficient, accurate and convergent on some stiff ordinary differential equations.
Cited by 4
Aloko Macdonald Damilola, Ayinde Muhammed Abdullahi, Usman A. Danbaba · Scientific Journal of Engineering, and Technology · 2025
Atabo Victor Oboni, Solomon Ortwer Adee, Peter Oluwafemi Olatunji · 2024
Sabo John, Abdullahi Muhammed Ayinde, Taiye Oyedepo · Cumhuriyet Science Journal · 2024
Atabo Victor Oboni, Solomon Ortwer Adee, Peter Oluwafemi Olatunji · Qeios · 2024
Related research
- The Formation of 6 and 8 Members Block Hybrid Methods with Multiple-mesh Points for the Solution of Stiff Ordinary Differential Equations — shares topic coverage
- One-Step Five Offgrid Implicit Hybrid Block Method for the Direct Solution of Stiff Second-Order Ordinary Differential Equations — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
4
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.