An a posteriori truncation regularization method for an ill-posed problem for the heat equation with an integral boundary condition

DOI10.1515/gmj-2017-0021zbMath1490.65182OpenAlexW2757997611MaRDI QIDQ2418539

Abdelali Benchikha, Mohamed Denche

Publication date: 27 May 2019

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2017-0021

zbMATH Keywords

parabolic equationregularization methodintegral boundary conditiontruncation methoda posteriori parameter choice rule

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Cites Work

• Two regularization methods for backward heat problems with new error estimates
• Hermite spectral and pseudospectral methods for numerical differentiation
• A modified quasi-boundary value method for ill-posed problems
• A non-local boundary value problem method for parabolic equations backward in time
• An approximate solution for nonlinear backward parabolic equations
• The truncation method for a two-dimensional nonhomogeneous backward heat problem
• A nonlinear parabolic equation backward in time: regularization with new error estimates
• A problem book in real analysis
• An a posteriori parameter choice rule for the truncation regularization method for solving backward parabolic problems
• Stability and regularization of a backward parabolic PDE with variable coefficients
• Numerical analytic continuation by a mollification method based on Hermite function expansion
• An a posteriori truncation method for some Cauchy problems associated with Helmholtz-type equations
• Regularization of parabolic equations backward in time by a non-local boundary value problem method
• A new version of quasi-boundary value method for a 1-D nonlinear ill-posed heat problem
• Quasi-boundary value method for non-well posed problem for a parabolic equation with integral boundary condition
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