Discrete Spline Solution for General Type Variational Problems

Authors

W. K. Zahra, Department of Engineering Physics and Mathematics, Faculty of Engineering, Tanta Univ., Tanta, Egypt\\ Department of Applied mathematics, Computer Science and Statistics, Ghent University,Krijgslaan 281 S9,9000 Gent, BelgiumFollow
M. Van Daele, Department of Applied mathematics, Computer Science and Statistics, Ghent University,Krijgslaan 281 S9,9000 Gent, BelgiumFollow

Author Country (or Countries)

Belgium

Abstract

In this paper, a discrete quintic spline method is developed for the solution of general type variational problem with the Lagrangian that depends on the minimizer and its higher derivatives. The proposed technique depends on an arbitrary parameter µ which enables us to construct discrete splines with high order accuracy. These methods are shown to be of fourth order. Numerical illustrations are given to demonstrate the validity and the effectiveness of the proposed approach

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110304

Recommended Citation

K. Zahra, W. and Van Daele, M. (2017) "Discrete Spline Solution for General Type Variational Problems," Applied Mathematics & Information Sciences: Vol. 11: Iss. 3, Article 4.
DOI: http://dx.doi.org/10.18576/amis/110304
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss3/4