Legendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation

DOI10.1080/00207160.2017.1417591zbMath1499.65568OpenAlexW2771971878MaRDI QIDQ5026513

Shengyue Li, Zhaojie Zhou

Publication date: 8 February 2022

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

Full work available at URL: https://doi.org/10.1080/00207160.2017.1417591

zbMATH Keywords

optimality conditionsoptimal control problemtime-fractional diffusion equationprojected gradient algorithmLegendre pseudo-spectral method

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Discrete approximations in optimal control (49M25) Fractional partial differential equations (35R11)

Related Items (9)

A spectral Petrov-Galerkin method for optimal control problem governed by a fractional ordinary differential equation ⋮ A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems ⋮ Error analysis of spectral approximation for space-time fractional optimal control problems with control and state constraints ⋮ Finite element approximation of optimal control problem governed by space fractional equation ⋮ Fractional spectral collocation method for optimal control problem governed by space fractional diffusion equation ⋮ Spectral Galerkin approximation of optimal control problem governed by Riesz fractional differential equation ⋮ A priori error analysis for time-stepping discontinuous Galerkin finite element approximation of time fractional optimal control problem ⋮ Numerical solution of optimal control of atherosclerosis using direct and indirect methods with shooting/collocation approach ⋮ Numerical inversion of reaction parameter for a time-fractional diffusion equation by Legendre spectral collocation and mollification method

Uses Software

• Differentiation Matrix Suite

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