New Spline Method for Solving Linear Two-Point Boundary Value Problems

Authors

  • Ahmed Salem Heilat Ahmed Salem Heilat Department of Mathematics, Jadara University, P.O. Box(733), 21111 Irbid, Jordan
  • Hamzeh Zureigat
  • Ra’ed Hatamleh
  • Belal Batiha

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i4.4124

Keywords:

Two-point boundary value problems, Cubic B-spline, Trigonometric cubic B-spline, Hybrid cubic B-spline.

Abstract

In this research, second order linear two-point boundary value problems are treated using new method based on hybrid cubic B-spline. The values of the free parameter,Gamma , are chosen via optimization. The value of the free parameter plays an important role in giving accurate results. Optimization of this parameter is carried out. This method is tested on four examples and a comparison with cubic B-spline, trigonometric cubic B-spline and extended cubic B-spline methods has been carried out. The examples suggest that this method produces more accurate results than the other three methods. The numerical results are presented to illustrate the efficiency of our method.

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Published

2021-11-10

How to Cite

Heilat, A. S., Zureigat, H., Hatamleh, R., & Batiha, B. (2021). New Spline Method for Solving Linear Two-Point Boundary Value Problems. European Journal of Pure and Applied Mathematics, 14(4), 1283–1294. https://doi.org/10.29020/nybg.ejpam.v14i4.4124

Issue

Vol. 14 No. 4: (October 2021)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.