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- Title
Numerical solution of optimal control problem of the non-linear Volterra integral equations via generalized hat functions.
- Authors
MIRZAEE, FARSHID; HADADIYAN, ELHAM
- Abstract
This paper presents a numerical method for solving optimal control problems including non-linear Volterra integral equations. The method is based upon generalized hat functions (HFs). Using the properties of HFs and associated operational matrices, optimal control problem is converted to an optimization problem. Furthermore, error analysis of the proposed method is studied. Illustrative examples are included to demonstrate the validity and applicability of the approach.
- Subjects
INTEGRAL equations; FUNCTIONAL equations; NUMERICAL solutions for linear algebra; ERROR analysis in mathematics; MATHEMATICAL statistics
- Publication
IMA Journal of Mathematical Control & Information, 2017, Vol 34, Issue 3, p889
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnw002