Application of the cut-off projection to solve a backward heat conduction problem in a two-slab composite system

DOI10.1080/17415977.2018.1470623zbMath1472.65116arXiv1710.07245OpenAlexW2950802056WikidataQ112146167 ScholiaQ112146167MaRDI QIDQ4988537

Nguyen Huy Tuan, Mach Nguyet Minh, Vo Anh Khoa, Tran The Hung, Mai Thanh Nhat Truong

Publication date: 17 May 2021

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07245

zbMATH Keywords

error estimatesbackward heat conduction problemill-posednessregularized solutioncut-off projectiontwo-slab system

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Smoothness and regularity of solutions to PDEs (35B65) Sturm-Liouville theory (34B24) Heat equation (35K05) Ill-posed problems for PDEs (35R25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems in thermodynamics and heat transfer (80A23) Boundary eigenvalue problems for ordinary differential equations (34B09) 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)

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