Finding unknown heat source in a nonlinear Cauchy problem by the Lie-group differential algebraic equations method

DOI10.1016/j.enganabound.2014.08.009zbMath1403.65052OpenAlexW1984168761WikidataQ115353852 ScholiaQ115353852MaRDI QIDQ1653590

Chein-Shan Liu

Publication date: 6 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2014.08.009

zbMATH Keywords

nonlinear Cauchy problemLie-group differential algebraic equations methodnonlinear inverse heat source problemspace-dependent heat source identification

Mathematics Subject Classification ID

Numerical methods for differential-algebraic equations (65L80) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (4)

A novel approach to solve inverse heat conduction problems: coupling scaled boundary finite element method to a hybrid optimization algorithm ⋮ A meshless method for solving 1D time-dependent heat source problem ⋮ A meshless method to the numerical solution of an inverse reaction–diffusion–convection problem ⋮ Numerical simulation for an inverse source problem in a degenerate parabolic equation

Cites Work

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