Russian Mathematics
0021-3446
1934-810X
Allerton Press
articles
time interval
conduction problem
boundary conditions
relation
plate
function
analytic solution
small time interval
mismatch
simple form
2010-03-12
temperature perturbation front
range
https://doi.org/10.3103/s1066369x10040079
temperature state
Fourier number
2022-01-01T18:21
special functions
approximate analytic solution
en
2010-03-12
integral relations
false
perturbation front
55-61
state
intervals
solution
method
form
infinite plate
full range
article
algebraic polynomials
front
Approximate analytic solution of heat conduction problems with a mismatch between initial and boundary conditions
number
problem
polynomials
We consider a heat conduction problem for an infinite plate with a mismatch between initial and boundary conditions. Using the method of integral relations, we obtain an approximate analytic solution to this problem by determining the temperature perturbation front. The solution has a simple form of an algebraic polynomial without special functions. It allows us to determine the temperature state of the plate in the full range of the Fourier numbers (0≤F<∞) and is especially effective for very small time intervals.
conditions
https://scigraph.springernature.com/explorer/license/
heat conduction problem
V. A.
Kudinov
Stefanyuk
E. V.
10.3103/s1066369x10040079
doi
Springer Nature - SN SciGraph project
4
dimensions_id
pub.1011087420
54
Mathematical Sciences
Pure Mathematics
Samara State Technical University, ul. Molodogvardeiskaya 244, 443100, Samara, Russia
Samara State Technical University, ul. Molodogvardeiskaya 244, 443100, Samara, Russia