University of Tabriz Computational Methods for Differential Equations 2345-3982 1 1 2013 12 20 2-stage explicit total variation diminishing preserving Runge-Kutta methods 30 38 259 EN M. Mehdizadeh Khalsaraei University of Maragheh F. Khodadosti University of Maragheh Journal Article 2013 12 14 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. Initial value problem Method of line Total-variation-diminishing Rung-Kutta methods https://cmde.tabrizu.ac.ir/article_259_f275211af12c25479a94ac0787dc3e03.pdf