2-stage explicit total variation diminishing preserving Runge-Kutta methods

نویسندگان
Khodadosti, F. ID 1
Mehdizadeh Khalsaraei, M. ID 2

1 University of Maragheh

2 University of Maragheh

doi
چکیده

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.

کلیدواژه‌ها
Initial value problem, Method of line, Total-variation-diminishing, Rung-Kutta methods