NUMERICAL SOLUTIONS OF SECOND ORDER BOUNDARY VALUE PROBLEM BY USING HYPERBOLIC UNIFORM B-SPLINES OF ORDER 4

Subject Areas : International Journal of Mathematical Modelling & Computations

Abdellah Lamnii ¹

1 - Faculty of Science and Technology, University Hassan first, Settat, Morocco Morocco

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2014-03-21

Keywords: interpolation, Boundary Value Problem, hyperbolic uniform spline,

Abstract :

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 (2VBP) with Dirichlet, Neumann and Cauchy types boundary conditions. The second derivativeis approximated by the three-point central difference scheme. The approximate results, obtained by the proposed method, confirm theconvergence of numerical solutions. Numerical results are given to illustrate the efficiency of our methods.