On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation

DOI10.1016/j.camwa.2021.12.020OpenAlexW4226241847MaRDI QIDQ2074145

Shengyue Li, Yi-Bo Wang, Wan-Rong Cao

Publication date: 4 February 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.10436

zbMATH Keywords

weighted Sobolev spaceerror estimateoptimal control problemdiffusion-advection-reactionspectral Petrov-Galerkin method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Approximation by polynomials (41A10) Discrete approximations in optimal control (49M25) Fractional partial differential equations (35R11)

Related Items (3)

A spectral Petrov-Galerkin method for optimal control problem governed by a fractional ordinary differential equation ⋮ Application of the extended Chebyshev cardinal wavelets in solving fractional optimal control problems with ABC fractional derivative ⋮ On spectral Petrov-Galerkin method for solving optimal control problem governed by fractional diffusion equations with fractional noise

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