|
Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 11, Pages 2044–2051
(Mi zvmmf571)
|
|
|
|
This article is cited in 7 scientific papers (total in 7 papers)
Approximate solutions to a nonlinear heat conduction problem
N. A. Kudryashov Moscow Engineering Physics Institute (State University), Kashirskoe sh. 31, Moscow, 115409, Russia
Abstract:
A nonlinear heat conduction problem on a half-line is examined. It is assumed that the temperature at the medium boundary varies with time according to a power or exponential law and that the initial temperature of the medium is zero. An approximate solution to the problem is obtained. Exact solutions are found in special cases. The convergence of the solutions found is discussed.
Key words:
radiant heat conduction, nonlinear heat equation, gas filtration, approximate solutions, exact solutions.
Received: 06.09.2004
Citation:
N. A. Kudryashov, “Approximate solutions to a nonlinear heat conduction problem”, Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005), 2044–2051; Comput. Math. Math. Phys., 45:11 (2005), 1965–1972
Linking options:
https://www.mathnet.ru/eng/zvmmf571 https://www.mathnet.ru/eng/zvmmf/v45/i11/p2044
|
Statistics & downloads: |
Abstract page: | 580 | Full-text PDF : | 411 | References: | 61 | First page: | 1 |
|