Optimal control of a parabolic distributed parameter system via radial basis functions
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Publication:2300166
DOI10.1016/j.cnsns.2013.01.007OpenAlexW2081462888MaRDI QIDQ2300166
Publication date: 27 February 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.01.007
optimal controlLagrange multiplierscollocation methodradial basis functionsdistributed parameter systemsGaussian RBF
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Cites Work
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- A numerical solution of the nonlinear controlled Duffing oscillator by radial basis functions
- Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via collocation method based on radial basis functions
- A method for solving partial differential equations via radial basis functions: application to the heat equation
- The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional nonlinear Schrödinger equation
- Application of meshfree collocation method to a class of nonlinear partial differential equations
- Radial basis functions methods for solving Fokker-Planck equation
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- A meshless method on non-Fickian flows with mixing length growth in porous media based on radial basis functions: a comparative study
- Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium
- Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity
- A meshless method for numerical solution of the one-dimensional wave equation with an integral condition using radial basis functions
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- Pseudospectral Chebyshev optimal control of constrained nonlinear dynamical systems
- Computational optimal control. Proceedings of the 9th IFAC workshop on control applications of optimization held at the Fachhochschule München in September 1992
- Application of the multiquadric method for numerical solution of elliptic partial differential equations
- An \(h\)-\(p\) adaptive method using clouds
- The partition of unity finite element method: basic theory and applications
- Observations on the behavior of radial basis function approximations near boundaries
- Space-time radial basis functions
- Adaptive radial basis function methods for time dependent partial differential equations
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Numerical solution of the controlled Duffing oscillator by the pseudospectral method
- An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
- The parameter \(R^ 2\) in multiquadric interpolation
- Numerical solution of the nonlinear Fredholm integral equations by positive definite functions
- Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
- On choosing ``optimal shape parameters for RBF approximation
- Optimal Control of Linear Distributed Parameter Systems by Shifted Legendre Polynomial Functions
- Use of radial basis functions for solving the second-order parabolic equation with nonlocal boundary conditions
- Application of shifted Chebyshev series to the optimal control of linear distributed-parameter systems
- Solution of two-point-boundary-value problems by generalized orthogonal polynomials and application to optimal control of lumped and distributed parameter systems
- A Chebyshev technique for solving nonlinear optimal control problems
- Optimal control of linear distributed-parameter systems via polynomial series
- Solution of optimal control problem of linear diffusion equations via Walsh functions
- Scattered Data Interpolation: Tests of Some Method
- A numerical method for heat transfer problems using collocation and radial basis functions
- Element‐free Galerkin methods
- Radial Basis Functions
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- Optimal control of singular systems via piecewise linear polynomial functions
- A Method of Centers Based on Barrier Functions for Solving Optimal Control Problems with Continuum State and Control Constraints
- The pseudospectral Legendre method for discretizing optimal control problems
- Reproducing kernel particle methods
- Finite element method for the solution of state-constrained optimal control problems
- Direct optimization using collocation based on high-order Gauss-Lobatto quadrature rules
- Comparisons between pseudospectral and radial basis function derivative approximations
- Solving high order ordinary differential equations with radial basis function networks
- Multiplier Methods for Nonlinear Optimal Control
- Scattered Data Approximation
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