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

PDF
  • Abdellah Lamnii1,
  1. Faculty of Science and Technology, University Hassan first, Settat, Morocco Morocco

Revised: 15-04-2016

Accepted: 15-04-2016

Published in Issue 21-03-2014

How to Cite

Lamnii, A. (2014). NUMERICAL SOLUTIONS OF SECOND ORDER BOUNDARY VALUE PROBLEM BY USING HYPERBOLIC UNIFORM B-SPLINES OF ORDER 4. International Journal of Mathematical Modelling & Computations, 4(1), 25-36. https://oiccpress.com/ijm2c/article/view/11205

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.
PDF

Most read articles by the same author(s)