Numerical inversions for a nonlinear source term in the heat equation by optimal perturbation algorithm

DOI10.1016/J.AMC.2010.03.086zbMath1193.65166OpenAlexW1985350359MaRDI QIDQ983991

Guangsheng Chi, Gongsheng Li

Publication date: 13 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.086

zbMATH Keywords

heat equationinverse problemnumerical examplesnumerical inversionnonlinear source termoptimal perturbation algorithm

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (3)

Determination of the time-dependent reaction coefficient and the heat flux in a nonlinear inverse heat conduction problem ⋮ Numerical inversions for diffusion coefficients in two-dimensional space fractional diffusion equation ⋮ Numerical approximation of a non-linear source term for an inverse parabolic problem

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