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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 66, 2017 - Issue 5
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Articles

High-order adaptive Gegenbauer integral spectral element method for solving non-linear optimal control problems

Kareem T. ElgindyFaculty of Science, Mathematics Department, Assiut University, Assiut, Egypt.Correspondence[email protected] [email protected]
Pages 811-836 | Received 15 Sep 2016, Accepted 18 Feb 2017, Published online: 06 Mar 2017

Citations (10)

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Read on this site (2)

Sayed A. Dahy & Kareem T. Elgindy. (2022) High-order numerical solution of viscous Burgers' equation using an extended Cole–Hopf barycentric Gegenbauer integral pseudospectral method. International Journal of Computer Mathematics 99:3, pages 446-464.
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Kareem T. Elgindy & Bülent Karasözen. (2019) High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation. International Journal of Computer Mathematics 96:10, pages 2039-2078.
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Articles from other publishers (8)

Kareem T. Elgindy. (2023) New optimal periodic control policy for the optimal periodic performance of a chemostat using a Fourier–Gegenbauer-based predictor-corrector method. Journal of Process Control 127, pages 102995.
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Kareem T. Elgindy & Hareth M. Refat. (2023) A direct integral pseudospectral method for solving a class of infinite-horizon optimal control problems using Gegenbauer polynomials and certain parametric maps. AIMS Mathematics 8:2, pages 3561-3605.
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Luxin Yang, Yutong Chun, Yucheng Liu, Chuansheng Wang & Jing Yang. (2022) A novel quality evaluation method for standardized experiment teaching. Soft Computing 26:14, pages 6889-6906.
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Kareem T. Elgindy & Hareth M. Refat. (2020) High-order Gegenbauer integral spectral element method integrated with an adaptive Chebyshev optimization strategy for solving linear singularly perturbed differential equations. Journal of Computational and Applied Mathematics 372, pages 112722.
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Kareem T. Elgindy & Bülent Karasözen. (2019) Distributed optimal control of viscous Burgers' equation via a high‐order, linearization, integral, nodal discontinuous Gegenbauer‐Galerkin method. Optimal Control Applications and Methods 41:1, pages 253-277.
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Kareem T. Elgindy & Sayed A. Dahy. (2018) High-order numerical solution of viscous Burgers' equation using a Cole-Hopf barycentric Gegenbauer integral pseudospectral method. Mathematical Methods in the Applied Sciences 41:16, pages 6226-6251.
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Kareem T. Elgindy & Hareth M. Refat. (2018) High-order shifted Gegenbauer integral pseudo-spectral method for solving differential equations of Lane–Emden type. Applied Numerical Mathematics 128, pages 98-124.
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Kareem T. Elgindy. (2018) Optimal control of a parabolic distributed parameter system using a fully exponentially convergent barycentric shifted gegenbauer integral pseudospectral method. Journal of Industrial & Management Optimization 14:2, pages 473-496.
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