Orthogonal Boubaker-Turki polynomials algorithm for problems arising in engineering
Osama Alabdali, Suha SHIHAB, Mohammed Rasheed, Taha Rashid
Abstract
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.