Orthogonal Boubaker-Turki polynomials algorithm for problems arising in engineering

The approximate solutions of optimal control problems are investigated in this article with Duffing oscillator model. Duffing oscillator models have lots of interesting engineering application. The orthogonal Boubaker-Turki polynomials first are presented with some new interesting properties. Then,...

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Bibliographic Details
Main Authors: Alabdali, Osama, Shihab, Suha, Rasheed, Mohammed, Rashid, Taha
Format: Conference Proceeding
Language:English
Subjects:
Algorithms
Basis functions
Duffing oscillators
Iterative methods
Optimal control
Polynomials
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Online Access:Get full text
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Summary:The approximate solutions of optimal control problems are investigated in this article with Duffing oscillator model. Duffing oscillator models have lots of interesting engineering application. The orthogonal Boubaker-Turki polynomials first are presented with some new interesting properties. Then, an algorithm based on iterative technique is considered with orthogonal Boubaker-Turki polynomials as a basis functions. By utilizing OBTPs, the proposed technique produces a simple procedure to get an optimal approximate solution that can use to problems that are more complex. Convergence of the algorithm is discussed and numerical examples are solved. The results obtained illustrate and emphasize the efficiency of the suggested algorithm when comparing the results with results obtained in previous works.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0066860