The Stability Analysis of a Class of Numerical Schemes for Partial Differential Systems
| Autor: | Longsuo Li, Shuxia Zhang, Xinrong Cong |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Partial differential equation Computer simulation Nozzle 02 engineering and technology Stability (probability) Euler equations Physics::Fluid Dynamics symbols.namesake 020901 industrial engineering & automation Exponential stability Flow (mathematics) 0202 electrical engineering electronic engineering information engineering symbols Applied mathematics 020201 artificial intelligence & image processing Mathematics Numerical stability |
| Zdroj: | 2019 Chinese Control Conference (CCC). |
| DOI: | 10.23919/chicc.2019.8865584 |
| Popis: | The stability analysis of the solutions of the one-dimensional Burgers’ equation and the one-dimensional Laval nozzle flow Euler equations are investigated in this paper. To satisfy the stability of the premise condition, the methods for solving these two equations are based on the explicit MacCormack’s scheme. Then the stable solutions are obtained through the computer numerical simulation. In addition, in the one-dimensional Laval nozzle flow Euler equation, we compared its numerical solutions and its analytical solutions, the fully consistent results are found. |
| Databáze: | OpenAIRE |
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