A B-spline collocation method for solving non-linear singular boundary value problems

We propose a new collocation method for the solution of non-linear singular two-point boundary value problems by using B-spline functions. The quesilinearization technique is used to reduce the given non-linear problem to a sequence of linear problems. Picking the equidistance collocation points, we transform the systems to some sparse algebraic equations which are easy to be solved. At last, we give some numerical illustrations from physical model problems to demonstrate the efficiency of the presented method.