Error analysis of Haar wavelet-based Galerkin numerical method with application to various nonlinear optimal control problems

DOI10.1080/00207160.2024.2341295MaRDI QIDQ6625125

Aghalaya S. Vatsala, Unnamed Author, Amit Setia, M. Muniyasamy

Publication date: 28 October 2024

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical approximation and evaluation of special functions (33F05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Application of variational iteration method for Hamilton-Jacobi-Bellman equations
• An introduction to optimal control problems in life sciences and economics. From mathematical models to numerical simulation with MATLAB.
• Analytical solution for optimal control by the second kind Chebyshev polynomials expansion
• Rationalized Haar approach for nonlinear constrained optimal control problems
• Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
• Wavelet collocation method for optimal control problems
• A numerical method based on Cardan polynomials for solving optimal control problems
• Müntz-Legendre spectral collocation method for solving delay fractional optimal control problems
• An approximate-analytical solution for the Hamilton-Jacobi-Bellman equation via homotopy perturbation method
• Higher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation
• A non-uniform Haar wavelet method for numerically solving two-dimensional convection-dominated equations and two-dimensional near singular elliptic equations
• Solving optimal control problem using Hermite wavelet
• A new approach based on using Chebyshev wavelets for solving various optimal control problems
• A Bessel collocation method for solving fractional optimal control problems
• Haar wavelets. With applications
• Optimal control of nonlinear Volterra integral equations via Legendre polynomials
• Solving the Hamilton–Jacobi–Bellman equation using Adomian decomposition method
• Finding the optimal control of linear systems via He's variational iteration method
• Haar wavelet method for solving lumped and distributed-parameter systems
• Optimal Control Applied to Competing Chemotherapeutic Cell-Kill Strategies
• Solving fractional optimal control problems with fixed or free final states by Haar wavelet collocation method
• A computational method for solving optimal control and parameter estimation of linear systems using Haar wavelets
• An hp‐adaptive pseudospectral method for solving optimal control problems
• SOLVING INFINITE-HORIZON OPTIMAL CONTROL PROBLEMS USING THE HAAR WAVELET COLLOCATION METHOD
• A wavelet collocation method for optimal control of non-linear time-delay systems via Haar wavelets
• An Introduction to Mathematical Epidemiology
• The Chebyshev–Legendre collocation method for a class of optimal control problems
• Combination of non-classical pseudospectral and direct methods for the solution of brachistochrone problem

This page was built for publication: Error analysis of Haar wavelet-based Galerkin numerical method with application to various nonlinear optimal control problems