Simultaneous space diffusivity and source term reconstruction in 2D IHCP

DOI10.1016/S0898-1221(01)00261-9zbMath1005.65106MaRDI QIDQ1609025

C. W. Coles, Diego A. Murio

Publication date: 15 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityCauchy problemnumerical exampleserror analysisparabolic equationfinite differencesautomatic filteringIHCPidentification of parameter and sources

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (11)

Parameter estimation in the 1-D transport equation with advection. ⋮ Numerical identification of a nonlinear diffusion coefficient by discrete mollification ⋮ A Nonlocal Inverse Problem for the Two-Dimensional Heat-Conduction Equation ⋮ Identification of an unknown source depending on both time and space variables by a variational method ⋮ An inverse problem for a 2D parabolic equation with nonlocal overdetermination condition ⋮ Application of the method of fundamental solutions and radial basis functions for inverse transient heat source problem ⋮ Identification of source terms in 2-D IHCP ⋮ Source term identification in 1-D IHCP ⋮ Parameter identification using mollification for predator-prey models in spatially heterogeneous environments ⋮ Identification of a multi-dimensional space-dependent heat source from boundary data ⋮ The determination of heat sources in two dimensional inverse steady heat problems by means of the method of fundamental solutions

Cites Work

• Discrete mollification and automatic numerical differentiation
• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• Mollified hyperbolic method for coefficient identification problems
• Identification of parameters in the 2-D IHCP
• Automatic numerical solution of generalized 2-D IHCP by discrete mollification
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