10.1186/2251-7456-6-48

Survey of B-spline functions to approximate the solution of mathematical problems

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  • Jalil Rashidinia*1,
  • Sh Sharifi2,
  1. School of Mathematics, Iran University of Science and Technology, Tehran, IR Department of Mathematics and Statistics, Islamic Azad University - Central Tehran Branch, Tehran, IR
  2. Department of Mathematics and Statistics, Islamic Azad University - Central Tehran Branch, Tehran, IR

Published in Issue 2012-10-09

How to Cite

Rashidinia, J., & Sharifi, S. (2012). Survey of B-spline functions to approximate the solution of mathematical problems. Mathematical Sciences, 6(1). https://doi.org/10.1186/2251-7456-6-48
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Abstract

Abstract Purpose In the present paper, we describe a survey of B-spline techniques which have been used for numerical solutions of mathematical problems recently. Methods Here, we discussed the definition of B-splines of various degrees by two different approaches to generate the recurrence relation to drive the formulation of B-splines. Results Cubic B-spline applied on two test equations and absolute errors in interpolation are compared with cubic and quintic splines. Some remarks have been included. Conclusions Numerical results are tabulated in tables; these tables show that the results obtained by cubic B-spline are considerable and accurate with respect to the cubic spline and more or less similar to the quintic spline.

Keywords

  • Spline functions,
  • Derivation of formula,
  • Alternative approach,
  • Numerical illustration
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