In this paper, we construct the general odd degree semi-orthogonal multi-knots spline wavelets space with point value vanishing properties under energy inner product, and present two kinds of low order compactly supported spline wavelets. Then we get the inheritive fast adaptive spline interpolation scheme and the prop- erties of singularity detecting with waveltets. As a result, the adaptive spline wavelets orthogonal collocation methods for initial boundary value problems are obtained.
