A mollified space marching finite differences algorithm for the inverse heat conduction problem with slab symmetry

✍ Scribed by L. Guo; D.A. Murio; C. Roth

• Book ID: 103930732
• Publisher: Elsevier Science
• Year: 1990
• Tongue: English
• Weight: 716 KB
• Volume: 19
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/0898-1221(90)90196-q

✦ Synopsis

The one-dimensional inverse heat conduction problem (IHCP) for a slab is considered. A new solution algorithm based on a data filtering interpretation of the mollification method is presented and a fully explicit space marching finite differences scheme is developed. After showing the numerical stability of the algorithm, the efficiency of the method is demonstrated by means of several examples. The numerical results show the procedure to be very useful in the presence of noisy data, even for some nonlinear cases.