Two-Step Hybrid Block Method for Solving First Order Ordinary Differential Equations Using Power Series Approach
G. Ajileye, S. A. Amoo, O. D. Ogwumu
Journal of Advances in Mathematics and Computer Science · pp. 1–7 · Published 16 Jul 2018
10.9734/JAMCS/2018/41557Abstract
In this paper, we consider the derivation of hybrid block method for the solution of general first order Initial Value Problem (IVP) in Ordinary Differential Equation. We adopted the method of Collocation and Interpolation using power series approximation to generate the continuous formula. The properties and features of the methods are analyzed and some numerical examples are also presented to illustrate the accuracy and effectiveness of the method.
Cited by 4
J. Sunday, G. Kumleng, N. Kamoh · Journal of the Nigerian Society of Physical Sciences · 2022
A. Salawu, I. O. Isah, K. S. Olayemi · FUDMA Journal of Sciences · 2022
I. Esuabana, S. E. Ekoro, B. Ojo · Journal of Mathematics and Computer Science · 2021
Hira Soomro, Nooraini Zainuddin, Hanita Daud · Computers, Materials & Continua · 2022
Related research
- Nonparametric Analysis of Two Distributed Motion Control Algorithms — shares topic coverage
- Direct Solution of Initial Value Problems of Fourth Order Ordinary Differential Equations Using Modified Implicit Hybrid Block Method — shares topic coverage
- Numerical Treatment of General Third Order Ordinary Differential Equations Using Taylor Series as Predictor — shares topic coverage
- Path Loss Modeling for Next Generation Wireless Network Using Fuzzy Logic - Spline Interpolation Technique — shares topic coverage
- Trigonometrically Fitted Block Backward Differentiation Methods for First Order Initial Value Problems with Periodic Solution — 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.