A new and applicable approach based on cubic B-spline wavelets and spectral
methods is applied for solving a special case of strongly nonlinear two-point boundary value
problems, namely Troesch problem. The purposed method is devoted to application of cubic
B-spline wavelets and their operational matrix of derivative via Galerkin and collocation
methods to approximate the numerical solution of Troesch equation. Comparison the results
of presented method with the results of some other exiting methods for solving this kind of
equations, show the high accuracy and efficiency of suggested scheme.