Positivity of an explicit Runge–Kutta method

This paper deals with the numerical solution of initial value problems (IVPs), for systems of ordinary differential equations (ODEs), by an explicit fourth-order Runge–Kutta method (we will refer to it as the classical fourth-order method) with special nonlinear stability property indicated by the p...

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Bibliographic Details
Main Author: M. Mehdizadeh Khalsaraei
Format: Article
Language:English
Published: Elsevier 2015-12-01
Series:Ain Shams Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447915001008