Tension Trigonometric Splines Interpolation Method for Solving aLinear Boundary Value Problem

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  • Omar El Khayyari1,
  • Abdellah Lamnii*1,
  • Jaoud Dabounou1,
  1. Faculty of Science and Technology, University Hassan first, Settat Morocco

Received: 12-01-2014

Revised: 20-03-2014

Accepted: 28-04-2014

Published in Issue 21-03-2014

Copyright (c) 2024 International Journal of Mathematical Modeling & Computations

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

El Khayyari, O., Lamnii, A., & Dabounou, J. (2014). Tension Trigonometric Splines Interpolation Method for Solving aLinear Boundary Value Problem. International Journal of Mathematical Modelling & Computations, 4(4), 365-376. https://oiccpress.com/ijm2c/article/view/11232

Abstract

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

Keywords

  • Trigonometric B-splines,
  • Tension factor,
  • Boundary value problems
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