Efficient Chebyshev collocation methods for solving optimal control problems governed by Volterra integral equations

DOI10.1016/j.amc.2015.07.055zbMath1410.65507OpenAlexW1250269019MaRDI QIDQ668645

Xiao-jun Tang

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.055

zbMATH Keywords

optimal controlChebyshev polynomialscollocation methodsVolterra integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Discrete approximations in optimal control (49M25) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (2)

Unnamed Item ⋮ Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations

Uses Software

• SNOPT

Cites Work

• Unnamed Item
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• Legendre spectral collocation method for neutral and high-order Volterra integro-differential equation
• Haar wavelet method for nonlinear integro-differential equations
• Lagrange collocation method for solving Volterra-Fredholm integral equations
• Optimal control of nonlinear Volterra integral equations via Legendre polynomials
• A numerical method to solve a class of linear integro-differential equations with weakly singular kernel
• Spectral Methods
• Optimal control of a system governed by nonlinear Volterra integral equations with delay
• SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
• Spectral Methods
• Chebyshev Solution of Differential, Integral and Integro-Differential Equations

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