Euler’s Method for Solving Initial Value Problems in Ordinary Differential Equations.

Fadugba, Sunday and Ogunrinde, Bosede and Okunlola, Tayo (2012) Euler’s Method for Solving Initial Value Problems in Ordinary Differential Equations. Euler’s Method for Solving Initial Value Problems in Ordinary Differential Equations., 13 (2). pp. 1-7.

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Abstract

This work presents Euler’s method for solving initial value problems in ordinary differential equations. This method is presented from the point of view of Taylor’s algorithm which considerably simplifies the rigorous analysis. We discuss the stability and convergence of the method under consideration and the result obtained is compared to the exact solution. The error incurred is undertaken to determine the accuracy and consistency of Euler’s method.

Item Type: Article
Uncontrolled Keywords: differential equation, Euler’s method, error, convergence, stability
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mr. Victor Sebiotimo
Date Deposited: 15 Mar 2019 16:17
Last Modified: 15 Mar 2019 16:17
URI: http://eprints.abuad.edu.ng/id/eprint/244

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