A unified approach to identifying an unknown spacewise dependent source in a variable coefficient parabolic equation from final and integral overdeterminations

DOI10.1016/J.APNUM.2013.11.006zbMath1284.65123OpenAlexW2044231677MaRDI QIDQ2437364

Burhan Pektaş, Alemdar Hasanov

Publication date: 3 March 2014

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2013.11.006

zbMATH Keywords

singular value decompositionnumerical experimentsparabolic equationconjugate gradient algorithmTikhonov regularizationFourier methodinverse source problemLagrange multiplier methodfilter functionintegral representation formulafinal and time-average temperature overdeterminations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Iterative numerical methods for linear systems (65F10) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (10)

Determination of a term in the right-hand side of parabolic equations ⋮ Fourier collocation algorithm for identification of a spacewise dependent source in wave equation from Neumann-type measured data ⋮ Iterative computational identification of a space-wise dependent source in parabolic equation ⋮ Determination of a spacewise-dependent heat source by a logarithmic-type regularization method ⋮ Identification of separable sources for advection-diffusion equations with variable diffusion coefficient from boundary measured data ⋮ Space-time finite element method for determination of a source in parabolic equations from boundary observations ⋮ Convergence analysis of a Crank-Nicolson Galerkin method for an inverse source problem for parabolic equations with boundary observations ⋮ Fourier collocation algorithm for identifying the spacewise-dependent source in the advection-diffusion equation from boundary data measurements ⋮ Identification of a multi-dimensional space-dependent heat source from boundary data ⋮ Determination of an unknown time-dependent heat source from a nonlocal measurement by finite difference method

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