New Fourth Order Quartic Spline Method for Solving Second Order Boundary Value Problems

Authors

  • Osama Hasan Ala'yed School of Quantitative Sciences, UUM College of Arts and Sciences, Universiti Utara Malaysia
  • Teh Yuan Ying School of Quantitative Sciences, UUM College of Arts and Sciences, Universiti Utara Malaysia
  • Azizan Saaban School of Quantitative Sciences, UUM College of Arts and Sciences, Universiti Utara Malaysia

DOI:

https://doi.org/10.11113/matematika.v31.n2.789

Abstract

In this article, a fourth order quartic spline method has been developed to obtain the numerical solution of second order boundary value problem with Dirichlet boundary conditions. The development of the quartic spline method and convergence analysis have been presented. Three test problems have been used for numerical experimentations purposes. Numerical experimentations showed that the quartic spline method generates more accurate numerical results compared with an existing cubic spline method in solving second order boundary value problems.

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Published

28-12-2015

How to Cite

Ala'yed, O. H., Yuan Ying, T., & Saaban, A. (2015). New Fourth Order Quartic Spline Method for Solving Second Order Boundary Value Problems. MATEMATIKA, 31(2), 149–157. https://doi.org/10.11113/matematika.v31.n2.789

Issue

Volume 31 (December 2015)

Section

Articles

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.