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

International Journal of Mathematical Modelling & Computations

مقاله 6، دوره 4، 4 (FALL)، فروردین 2014، صفحه 365-376   

نویسندگان

Omar El Khayyari¹؛ Abdellah Lamnii²؛ Jaoud Dabounou²

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

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

چکیده

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.
 

کلیدواژه‌ها

Trigonometric B-splines؛ Tension factor؛ Boundary value problems