Explicit Monotone Stable Super-Time-Stepping Methods for Finite Time Singularities

Zheng Tan, Tariq D. Aslam, Andrea L. Bertozzi

We explore a novel way to numerically resolve the scaling behavior of finite-time singularities in solutions of nonlinear parabolic PDEs. The Runge--Kutta--Legendre (RKL) and Runge…