  This paper represents a mixed numerical method for the multi-resolution
solution of non-linear partial differential equations based on B-Spline
wavelets. The method is based on a second-order finite difference formula
combined with the collocation method which uses the wavelet basis and applied
to the Burgers equation. Performance and accuracy of the numerical solutions
are studied using three standard test cases with Dirichlet and Neumann boundary
conditions. Comparing the results with other methods such as the fully implicit
finite difference method and mixed finite difference/boundary element method
shows a greater accuracy while using the smaller number of basis functions.
