ROTHE APPROXIMATION TO AN ABLATION-TRANSPIRATION COOLING CONTROL-SYSTEM

Authors
GUO BZ
Citation
Bz. Guo, ROTHE APPROXIMATION TO AN ABLATION-TRANSPIRATION COOLING CONTROL-SYSTEM, Mathematical and computer modelling, 18(2), 1993, pp. 63-74
Citations number
8
Categorie Soggetti
Mathematics,Mathematics,"Computer Applications & Cybernetics
Journal title
Mathematical and computer modelling → ACNP
ISSN journal
08957177
Volume
18
Issue
2
Year of publication
1993
Pages
63 - 74
Database
ISI
SICI code
0895-7177(1993)18:2<63:RATAAC>2.0.ZU;2-P
Abstract
A controlled ordinary differential equation model of an ablation-trans piration cooling system is considered, based on the Rothe approximatio n scheme for the corresponding partial differential equation model in which the thermal swelling is neglected. It is different from the byli nes approximation method proposed in [1]. The convergence is proved un der the estimates of the approximation solutions, and the numerical re sults of an experimental example are presented.