Approximate solution of the backward problem for Kirchhoff's model of parabolic type with discrete random noise

DOI10.1016/j.camwa.2020.03.015zbMath1451.65135OpenAlexW3016012359MaRDI QIDQ2197859

Nguyen Anh Triet, Nguyen Huy Tuan, Nguyen Duc Phuong, Donal O'Regan

Publication date: 1 September 2020

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.03.015

zbMATH Keywords

ill-posed problemrandom noiseregularized solutionKirchhoff's model

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs with randomness, stochastic partial differential equations (35R60) Finite difference methods for boundary value problems involving PDEs (65N06) 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)

Related Items (3)

On a pseudo-parabolic equations with a non-local term of the Kirchhoff type with random Gaussian white noise ⋮ Backward problem for time-space fractional diffusion equations in Hilbert scales ⋮ The regularized solution approximation of forward/backward problems for a fractional pseudo-parabolic equation with random noise

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