Optimal control of a parabolic distributed parameter system using a fully exponentially convergent barycentric shifted Gegenbauer integral pseudospectral method

DOI10.3934/jimo.2017056zbMath1412.65014OpenAlexW2706066570MaRDI QIDQ1716958

Kareem T. Elgindy

Publication date: 5 February 2019

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2017056

zbMATH Keywords

optimal controlpseudospectral methodintegration matrixBarycentric interpolationshifted Gegenbauer polynomialshifted Gegenbauer quadrature

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical integration (65D30) Computational methods for problems pertaining to operations research and mathematical programming (90-08)

Related Items (3)

High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation ⋮ High-order shifted Gegenbauer integral pseudo-spectral method for solving differential equations of Lane-Emden type ⋮ A high-order embedded domain method combining a predictor-corrector-Fourier-continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains

Uses Software

• Matlab
• GPOPS

Cites Work

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• GEGENBAUER COLLOCATION INTEGRATION METHODS: ADVANCES IN COMPUTATIONAL OPTIMAL CONTROL THEORY

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