This book is primarily focused on identifying the potential of B-spline collocation technique in finding approximate solutions for linear, non-linear as well as coupled equations of two point boundary value problems. The main advantage of this technique is its smoothness, local support and hence low cost of computation. It has been shown that this technique can be efficient and at par to other established techniques. The B-spline collocation method provides a piecewise continuous, closed form solution while working on complex shapes and profiles. The beauty of such an application is that the former procedure is simpler and easy to apply to many problems involving differential equations.