Numerical Solutions of Second Order Boundary Value Problem by Using Hyperbolic Uniform B-Splines of Order 4

In this paper, using the hyperbolic uniform spline of order 4 we develop the classes of methods for the numerical solution of second order boundary value problems with Dirichlet, Neumann and Cauchy types boundary conditions. The second derivative is approximated by the three-point central diff erence scheme. The approximate results, obtained by the proposed method, con rm the convergence of numerical solutions. Numerical results are given to illustrate the e ffciency of our methods.