%0 Journal Article %T 2-stage explicit total variation diminishing preserving Runge-Kutta methods %J Computational Methods for Differential Equations %I University of Tabriz %Z 2345-3982 %A Mehdizadeh Khalsaraei, M. %A Khodadosti, F. %D 2013 %\ 12/20/2013 %V 1 %N 1 %P 30-38 %! 2-stage explicit total variation diminishing preserving Runge-Kutta methods %K Initial value problem %K Method of line %K Total-variation-diminishing %K Rung-Kutta methods %R %X In this paper, we investigate the total variation diminishing property for a class of 2-stage explicit Rung-Kutta methods of order two (RK2) when applied to the numerical solution of special nonlinear initial value problems (IVPs) for (ODEs). Schemes preserving the essential physical property of diminishing total variation are of great importance in practice. Such schemes are free of spurious oscillations around discontinuities. %U https://cmde.tabrizu.ac.ir/article_259_f275211af12c25479a94ac0787dc3e03.pdf