Operational Matrix of New Shifted Wavelet Functions for Solving Optimal Control Problem

Gufran Abass and Suha Shihab ()
Additional contact information
Gufran Abass: Department of Applied Science, University of Technology, Baghdad 10066, Iraq
Suha Shihab: Department of Applied Science, University of Technology, Baghdad 10066, Iraq

Mathematics, 2023, vol. 11, issue 14, 1-14

Abstract: This paper is devoted to proposing an approximate numerical algorithm based on the use of the state parameterization technique in order to find the solution to the optimal control problem (OCP). An explicit formula for new shifted wavelet (NSW) functions is constructed. A new formula that expresses the first-order derivative of the NSW in terms of their original NSW is established. The development of our suggested numerical algorithms begins with the extraction of a new operational matrix of derivative from this derivative formula. The expansion’s convergence study is performed in detail, and some illustrative examples of OCP are displayed. The proposed algorithm is compared with the exact one and some other methods in the literature. This confirms the accuracy and the high efficiency of the presented algorithm.

Keywords: new shifted wavelet functions; optimal control problem; convergence criteria; error analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/14/3040/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/14/3040/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:14:p:3040-:d:1189819

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().