A space-time spectral method for the time fractional diffusion optimal control problems
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Publication:1625508
DOI10.1186/s13662-015-0489-4zbMath1422.35181OpenAlexW1602354198WikidataQ59435237 ScholiaQ59435237MaRDI QIDQ1625508
Publication date: 29 November 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-015-0489-4
spectral methodtime fractional diffusion equationfractional optimal control problem\textit{a priori} error
Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Existence theories for optimal control problems involving partial differential equations (49J20) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)
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A spectral Petrov-Galerkin method for optimal control problem governed by a fractional ordinary differential equation ⋮ Error Analysis of Fully Discrete Finite Element Approximations to an Optimal Control Problem Governed by a Time-Fractional PDE ⋮ Iterative methods for mesh approximations of optimal control problems controlled by linear equations with fractional derivatives ⋮ Error estimates of the space-time spectral method for parabolic control problems ⋮ Galerkin spectral method for the fractional nonlocal thermistor problem ⋮ Optimization method for determining the source term in fractional diffusion equation ⋮ Finite element approximation of optimal control problem governed by space fractional equation ⋮ On the reconstruction of unknown time-dependent boundary sources for time fractional diffusion process by distributing measurement ⋮ On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation ⋮ Discontinuous Galerkin method for a distributed optimal control problem governed by a time fractional diffusion equation
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