Solving the backward heat conduction problem by homotopy analysis method

DOI10.1016/J.APNUM.2018.02.002zbMath1393.65039OpenAlexW2789839484MaRDI QIDQ1743403

Bingxian Wang, Jijun Liu

Publication date: 13 April 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.02.002

zbMATH Keywords

convergenceheat conductionerror boundsill-posed problemnumericsbackward conductionhomotopy iteration

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (8)

The method based on series solution for identifying an unknown source coefficient on the temperature field in the quasiperiodic media ⋮ Entropy generation optimization in nanofluid flow by variable thicked sheet ⋮ Simultaneous identification of initial field and spatial heat source for heat conduction process by optimizations ⋮ Double-parameter regularization for solving the backward diffusion problem with parallel-in-time algorithm ⋮ Quasi-boundary value methods for regularizing the backward parabolic equation under the optimal control framework ⋮ The backward problem of parabolic equations with the measurements on a discrete set ⋮ The backward problem of stochastic convection-diffusion equation ⋮ Fast parallel-in-time quasi-boundary value methods for backward heat conduction problems

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