A Note on the integral approach to non-linear heat conduction with jeffrey's fading memory
No Thumbnail Available
Date
2013-01-01
External link to pdf file
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886794987&origin=inward
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Integral approach by using approximate profile is successfully applied to heat conduction equation with fading memory expressed by a Jeffrey's kernel. The solution is straightforward and the final form of the approximate temperature profile clearly delineates the ``viscous effects`` corresponding tothe classical Fourier law and the relaxation (fading memory). The optimal exponent of the approximatesolution is discussed in case of Dirichlet boundary condition.