A family of two-step second order Runge–Kutta–Chebyshev methods.

In this paper, a new family of second order two-step Runge–Kutta–Chebyshev methods is presented. These methods are a generalization of the one-step stabilized methods and have better computational properties compared to them. A new code TSRKC2 is developed and compared to existing solvers at sufficiently large set of examples. [Display omitted] [ABSTRACT FROM AUTHOR]