ISSN:
1573-9376
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Boundary-value problems for the heat conduction equation are considered in the case where the boundary conditions contain a fractional derivative. Problems of this type arise when the heat processes are simulated by a nonstationary heat flow by using the one-dimensional thermal model of a two-layer system (coating — base). It is proved that the problem under consideration is correct. A one-parameter family of difference schemes is constructed; it is shown that these schemes are stable and convergent in the uniform metric.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01058643