An Efficient Third Derivative Hybrid Block Method of Order Eleven for the Direct Solution of Second-Order Ordinary Differential Equation
D. Raymond, Y. Skwame, T. S. Kyagya
Asian Research Journal of Mathematics · pp. 1–10 · Published 19 Apr 2018
10.9734/ARJOM/2018/40613Abstract
This paper proposes an efficient third derivative hybrid block method of order eleven for solving second Order Ordinary Differential Equations directly. Method of interpolation and collocation of power series approximate solution to generate the continuous hybrid linear multistep method was used, which was evaluated at non-interpolating points to give a contnuous block method. The discrete block method was recovered when the continuous block method was evaluated at all step points. The basic properties of the method were investigated and were found to be zero-stable, consistent, and convergent. The efficiency of the method was tested on some stiff equations and was found to give better approximation than the existing method compared with our result.
Cited by 0
No indexed citations yet.
Related research
- The Construction of Implicit One-step Block Hybrid Methods with Multiple Off-grid Points for the Solution of Stiff Differential Equations — shares topic coverage
- 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
- Numerical Treatment of General Third Order Ordinary Differential Equations Using Taylor Series as Predictor — shares topic coverage
- Trigonometrically Fitted Block Backward Differentiation Methods for First Order Initial Value Problems with Periodic Solution — shares topic coverage
- Two-Step Hybrid Block Method for Solving First Order Ordinary Differential Equations Using Power Series Approach — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
0
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.