Name
Abstract | ||
|---|---|---|
This paper investigates the inverse problems of simultaneous reconstruction of time-dependent thermal conductivity, convection or absorption coefficients in the parabolic heat equation governing transient heat and bio-heat thermal processes. Using initial and boundary conditions, as well as heat moments as over-determination conditions ensure that these inverse problems have a unique solution. However, the problems are still ill-posed since small errors in the input data cause large errors in the output solution. To overcome this instability we employ the Tikhonov regularization. A discussion of the choice of multiple regularization parameters is provided. The finite-difference method with the CrankNicolson scheme is employed as a direct solver. The resulting inverse problems are recast as nonlinear minimization problems and are solved using the lsqnonlin routine from the MATLAB toolbox. Numerical results are presented and discussed. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.amc.2016.12.028 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Inverse problem,Tikhonov’s regularization,Heat transfer,Heat moments | Tikhonov regularization,Boundary value problem,Mathematical optimization,Mathematical analysis,Heat transfer,Regularization (mathematics),Inverse problem,Heat equation,Solver,Mathematics,Thermal conductivity | Journal |
Volume | Issue | ISSN |
301 | C | 0096-3003 |
Citations | PageRank | References |
1 | 0.38 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. J. Huntul | 1 | 1 | 1.39 |
| D. Lesnic | 2 | 74 | 19.47 |
| M. S. Hussein | 3 | 5 | 1.94 |