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Time fractional IHCP with Caputo fractional derivatives

✍ Scribed by Diego A. Murio

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
744 KB
Volume
56
Category
Article
ISSN
0898-1221

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✦ Synopsis

The numerical solution of the time fractional inverse heat conduction problem (TFIHCP) on a finite slab is investigated in the presence of measured (noisy) data when the time fractional derivative is interpreted in the sense of Caputo. A finite difference space marching scheme with adaptive regularization, using mollification techniques, is introduced. Error estimates are derived for the numerical solution of the mollified problem and several numerical examples of interest are provided.

πŸ“œ SIMILAR VOLUMES

Representation of radiation damping by f
Representation of radiation damping by fractional time derivatives
✍ P. Ruge; C. Trinks πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 226 KB

## Abstract When modelling unbounded domains, formulation of a matrix‐valued force–displacement relationship which can take radiation damping into account is of major importance. In this paper, a method to describe the dynamic stiffness by a system of fractional differential equations in the time‐d