TENSION TRIGONOMETRIC SPLINES INTERPOLATION METHOD FOR SOLVING A LINEAR BOUNDARY VALUE PROBLEM

Subject Areas : International Journal of Mathematical Modelling & Computations

Omar El Khayyari ¹ , Abdellah Lamnii ² , Jaoud Dabounou ³

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

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

Keywords: Boundary value problems, Trigonometric B-splines, Tension factor,

Abstract :

By using the trigonometric uniform splines of order 3 with a real tension factor, a numericalmethod is developed for solving a linear second order boundary value problems (2VBP) withDirichlet, Neumann and Cauchy types boundary conditions. The moment at the knots isapproximated by central finite-difference method. The order of convergence of the methodand the theory is illustrated by solving test examples. Experimental results demonstrate thatour method is more effective for the problems where the exact solution is trigonometric orhyperbolic.