Modified Hermite Polynomials for Solving Quadratic Optimal Control Problems
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S. N. Al-Rawi, Numerical Solution of Integral Equa tions Using Taylor Series, Journal of the College of Education, 5 (1992) 51-60.
M. N. Sahlan, H. Feyzollahzadeh, Operational matri ces of Chebyshev polynomials for solving singular Volterra integral equations, Math Sci. 11 (2017) 165–171.
F. Dkhilalli, S. M. Borchani, M. Rasheed, R. Barille, S. Shihab, K. Guidara, M Megdiche, Characteriza-tions and morphology of sodium tungstate particles, Royal Society open science, 5 (8) (2018) 1-16.
J. A. Eleiwy, S. N. Shihab, Chebyshev Polynomials and Spectral Method for Optimal Control Problem, Engineering and Technology Journal, 27 (14) (2009) 2642-2652.
E. H. Ouda, An Approximate Solution of some Varia tional Problems Using Boubaker Polynomials, Baghdad Science Journal, 5 (1) (2018) 106-109.
S. N. SHIHAB, M. A. Sarhan, New Operational Ma trices of Shifted Fourth Chebyshev wavelets, Elixir International Journal-Applied Mathematics, 69 (1) (2014) 23239-23244.
S. N. Shihab, T. N. Naif, On the orthonormal Bern stein polynomial of order eight, open Science Jour-nal of Mathematics and Application, 2 (2) (2014) 15-19.
S. N. Shihab, M. A. Sarhan, Convergence analysis of shifted fourth kind Chebyshev wavelets, IOSR jour-nal of mathematics, 10 (2) (2014) 54-58.
Z. Yang, H. Zhang, Chebyshev polynomials for ap proximation of solution of fractional partial differen-tial equations with variable coefficients, in: Atlantis Press, (IC3ME 2015) (2015) 252-260.
S. Al-Rawi, On the solution of Certain Fractional In tegral Equations, Kirkuk University Journal for Scientific Studies 1 (2), (2006) 125-136.
S. Al-Rawi, NUMERICAL SOLUTION OF INTE GRAL EQUATIONS USING TAYLOR SERIES, Journal of the College of Education 5, (1998) 51-60.
M. Delphi, S. SHIHAB, Operational Matrix Basic Spline Wavelets of Derivative for linear Optimal Control Problem, Electronics Science Technology and Application 6 (2), (2019) 18-24.
S. N. Al-Rawi, F. A. Al-Heety, S. S. Hasan, A New Computational Method for Optimal Control Prob-lem with B-spline Polynomials, Engineering and Technology Journal, 28 (18) (2010) 5711-5718.
S. N. Al-Rawi, H. R. Al-Rubaie, An Approximate solution of some continuous time Linear-Quadratic optimal control problem via Generalized Laguerre Polynomial, Journal of Pure and Applied Sciences, 22 (1) (2010) 85-97.
I. N. Ahmed Fahmi, S. F. Ibraheem, E. H. Ouda, In direct Method for Optimal Control Problem Using Boubaker Polynomial, Baghdad Science Journal, 13 (1) (2016) 183-189.
E. H. Ouda, A new Approach for Solving Optimal Control Problems Using Normalized Boubaker Polynomials, Emirates Journal for Engineering Re-search, 23 (1) (2018) 1-12.
A. Wünsche, Associated Hermite Polynomials Re lated to Parabolic Cylinder Functions, Scientific Research, 9 (1) (2019).
C. Cesarano, Operational Methods and New Identi ties for Hermite Polynomials, Math. Model. Nat. Phenom. 12 (3) (2017) 44-50.
DOI: https://doi.org/10.18282/mta.v1i1.209
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