A New One-Twelfth Step Continuous Block Method for the Solution of Modeled Problems of Ordinary Differential Equations

Areo, Emmanuel Adegbemiro and Omojola, Micheal Temitope (2015) A New One-Twelfth Step Continuous Block Method for the Solution of Modeled Problems of Ordinary Differential Equations. American Journal of Computational Mathematics, 05 (04). pp. 447-450. ISSN 2161-1203

[thumbnail of AJCM_2015121615593332.pdf] Text
AJCM_2015121615593332.pdf - Published Version

Download (362kB)

Abstract

In this paper, we developed a new continuous block method by the method of interpolation and collocation to derive new scheme. We adopted the use of power series as a basis function for approximate solution. We evaluated at off grid points to get a continuous hybrid multistep method. The continuous hybrid multistep method is solved for the independent solution to yield a continuous block method which is evaluated at selected points to yield a discrete block method. The basic properties of the block method were investigated and found to be consistent, zero stable and convergent. The results were found to compete favorably with the existing methods in terms of accuracy and error bound. In particular, the scheme was found to have a large region of absolute stability. The new method was tested on real life problem namely: Dynamic model.

Item Type: Article
Subjects: STM Academic > Mathematical Science
Depositing User: Unnamed user with email support@stmacademic.com
Date Deposited: 24 Jun 2023 07:34
Last Modified: 22 Jan 2024 04:56
URI: http://article.researchpromo.com/id/eprint/1082

Actions (login required)

View Item
View Item