Implicit-explicit time discretization schemes for a class of semilinear
wave equations with nonautonomous dampings
Implicit-explicit time discretization schemes for a class of semilinear
wave equations with nonautonomous dampings
This paper is concerned about the implicit-explicit (IMEX) methods for a class of dissipative wave systems with time-varying velocity feedbacks and nonlinear potential energies, equipped with different boundary conditions. Firstly, we approximate the problems by using a vanilla IMEX method, which is a second-order scheme for the problems when the …