The approximate inertial manifolds (AIMs) of Burgers equation is approached by nonlinear Galerkin methods, and it can be used to capture and study the shock wave numerically in a reduced system with low dimension. Following inertial manifolds, the asymptotic behavior of Burgers equation, an infinite
Wavelet approximate inertial manifold and numerical solution of Burgers' equation
β Scribed by Tian Li-xin; Xu Bo-qiang; Liu Zeng-rong
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 647 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0253-4827
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## Abstract The necessary and sufficient conditions of regularity of solutions of von Karman evolution equations are derived. It is proved that a global attractor consists of smooth functions for these evolution equations. The results obtained are used to construct a family of approximate inertial
This paper presents finite-difference solution and analytical solution of the finite-difference approximations based on the standard explicit method to the one-dimensional Burgers equation which arises frequently in the mathematical modelling used to solve problems in fluid dynamics. Results obtaine