Active optimal control of the KdV equation using the variational iteration method

DOI10.1155/2010/929103zbMath1207.35258OpenAlexW2011276065WikidataQ58653426 ScholiaQ58653426MaRDI QIDQ1958915

Ismail Kucuk

Publication date: 30 September 2010

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232798

zbMATH Keywords

KdV equationperformance measureoptimal pointwise controldirect control parametrization

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods applied to PDEs (35A15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Series solutions to PDEs (35C10) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (5)

Optimal control of partial differential equations based on the variational iteration method ⋮ Optimal control based on the polynomial least squares method ⋮ Application of variational iteration method for dropping damage evaluation of the suspension spring packaging system ⋮ Open-loop optimal controller design using variational iteration method ⋮ Optimal control based on the variational iteration method

Cites Work

• Unnamed Item
• Variational iteration method for solving Burgers and coupled Burgers equations
• Numerical simulation of KdV and mKdv equations with initial conditions by the variational iteration method
• Variational iteration method -- some recent results and new interpretations
• Some relatively new techniques for nonlinear problems
• An efficient computational method for the optimal control problem for the Burgers equation
• Numerical solution of KdV equation using modified bernstein polynomials
• Numerical solution of Korteweg-de Vries equation by Galerkin B-spline finite element method
• New applications of variational iteration method
• Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
• The Korteweg–deVries Equation: A Survey of Results
• Exact controllability and stabilizability of the Korteweg-de Vries equation
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• A new approach to nonlinear partial differential equations

This page was built for publication: Active optimal control of the KdV equation using the variational iteration method