In this paper, we propose a numerical boundary treatment for simulating shock propagation
in the fractional KdV-Burgers equation, based on a machine learning strategy. Numerical …

We consider numerical boundary treatment for solving the Cauchy problems of the Riesz
space fractional diffusion equation with compact initial data in one and two space dimension …

In this paper, we propose a stable heat jet approach for accurate temperature control of the
nonlinear Fermi-Pasta-Ulam beta (FPU-β) chain. First, we design a stable nonlinear …