Adaptive wavelet collocation method for the solution of Burgers equation
Silvia Bertoluzza · Transport Theory and Statistical Physics · 1996
In this paper we present the application of an adaptive wavelet method to the numerical solution of the viscous Burgers equation. Unlike other approaches6,7, such a method is based on a collocation technique. The properties of wavelet bases are exploited in order to adaptively design the grid at each time-step. Numerical results are presented for several 1-D test problems with small viscosity.