The space marching solution of the inverse heat conduction problem and the identification of the initial temperature distribution

DOI10.1016/0898-1221(93)90248-TzbMath0781.65100MaRDI QIDQ2365940

Diego A. Murio, Doris Hinestroza G.

Publication date: 29 June 1993

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

zbMATH Keywords

computational experimentsnumerical stabilityinverse heat conductionidentification of the initial temperature distributionspace marching finite difference method

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Applications to the sciences (65Z05)

Related Items (4)

Recovery of the transient heat transfer coefficient in the nonlinear boundary value problem for the heat equation ⋮ Shannon-Taylor technique for solving one-dimensional inverse heat conduction problem ⋮ Two-dimensional formulation for inverse heat conduction problems by the calibration integral equation method (CIEM) ⋮ Global time method for inverse heat conduction problem

Cites Work

• A mollified space marching finite differences algorithm for the inverse heat conduction problem with slab symmetry
• Parameter selection by discrete mollification and the numerical solution of the inverse heat conduction problem
• The mollification method and the numerical solution of the inverse heat conduction problem by finite differences
• On the Numerical Computation of Parabolic Problems for Preceding Times
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