An improved quasi-reversibility method for a terminal-boundary value multi-species model with white Gaussian noise

DOI10.1016/J.CAM.2020.113176zbMath1466.65108arXiv1902.10784OpenAlexW3082990701MaRDI QIDQ2222081

Vo Anh Khoa, Nguyen Huy Tuan, Phan Thi Khanh Van, Vo Van Au

Publication date: 3 February 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.10784

zbMATH Keywords

convergence ratesweak solvabilityGaussian white noiseglobal estimatesquasi-reversibility methodbackward reaction-diffusion systems

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ill-posed problems for PDEs (35R25) White noise theory (60H40) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Cell biology (92C37) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Initial-boundary value problems for second-order parabolic systems (35K51) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (3)

On the convergence rate of an improved quasi-reversibility method for an inverse source problem of a nonlinear parabolic equation with nonlocal diffusion coefficient ⋮ Analysis of a quasi-reversibility method for nonlinear parabolic equations with uncertainty data ⋮ The regularized solution approximation of forward/backward problems for a fractional pseudo-parabolic equation with random noise

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