A Class of Linear Multi-step Method for Direct Solution of Second Order Initial Value Problems in Ordinary Differential Equations by Collocation Method

Yakusak, N and Owolanke, A (2018) A Class of Linear Multi-step Method for Direct Solution of Second Order Initial Value Problems in Ordinary Differential Equations by Collocation Method. Journal of Advances in Mathematics and Computer Science, 26 (1). pp. 1-11. ISSN 24569968

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Abstract

In this work, we proposed a linear multi-step method for solution of second order Initial Value Problems (IVP), using power series function as the trail solution for the approximation via collocation techniques. The resulting scheme is self-starting, consistent, zero-stable, convergent with good region of absolute stability. Numerical and graphical results are presented tabularly.

Item Type: Article
Subjects: Eprints STM archive > Mathematical Science
Depositing User: Unnamed user with email admin@eprints.stmarchive
Date Deposited: 25 Apr 2023 10:59
Last Modified: 27 Sep 2023 06:49
URI: http://public.paper4promo.com/id/eprint/203

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