A WAVELET COLLOCATION METHOD FOR THE NUMERICAL SOLUTION OF BURGERS EQUATION
Abdou Garba · 1996
We present a numerical resolution of Burgers Equation with small viscosity (y = 1./100) in the basis of Daubechies scaling functions. The spatial discretization is based on a collocation technique. Periodic boundary conditions are considered. Numerical results show that oscillations are confined in the vicinity of the shock. If symmetry is known the oscillations are easily eliminated by decreasing the scale. Moreover when the method is associated with a coordinate transform, accurate results are obtained with relatively small number of points.