Convergence of a finite difference method for combustion model problems | |
Ying, LA | |
2004 | |
关键词 | combustion finite difference method detonation wave stiff equation HYPERBOLIC CONSERVATION-LAWS NUMERICAL-METHODS WAVES TERMS |
英文摘要 | We study a finite difference scheme for a combustion model problem. A projection scheme near the combustion wave, and the standard upwind finite difference scheme away from the combustion wave are applied. Convergence to weak solutions with a combustion wave is proved under the normal Courant-Friedrichs-Lewy condition. Some conditions on the ignition temperature are given to guarantee the solution containing a strong detonation wave or a weak detonation wave. Convergence to strong detonation wave solutions for the random projection method is also proved.; Mathematics, Applied; Mathematics; SCI(E); EI; 1; ARTICLE; SUPPL.; 121-135; 47 |
语种 | 英语 |
出处 | EI ; SCI |
出版者 | science in china series a mathematics |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/157999] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Ying, LA. Convergence of a finite difference method for combustion model problems. 2004-01-01. |
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