Title of article
An improvement on the positivity results for 2-stage explicit Runge–Kutta methods
Author/Authors
Mehdizadeh Khalsaraei ، M . نويسنده University of Maragheh Mehdizadeh Khalsaraei , M. , M.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
7
From page
137
To page
143
Abstract
In this paper, we investigate the positivity property for a class of 2-stage explicit Runge–Kutta (RK2) methods of order two when applied to the numerical solution of special nonlinear initial value problems (IVPs) for ordinary differential equations (ODEs). We also pay particular attention to monotonicity property. We obtain new results for positivity which are important in practical applications. We provide some numerical examples to illustrate our results.
Keywords
ordinary differential equations , Initial value problems , Advection equation , Runge–Kutta methods , Monotonicity , Positivity
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2010
Journal title
Journal of Computational and Applied Mathematics
Record number
1555947
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