A generalized and more complete methodology for treating boundary conditions in the Differential Quadrature Method (DQM) is presented. This improved approach eliminates the deficiencies of the -type grid arrangement, which represents an approximation, by applying the boundary conditions exactly. Two
New approaches in application of differential quadrature method to fourth-order differential equations
β Scribed by Wang, Xinwei ;Liu, Feng ;Wang, Xinfeng ;Gan, Lifei
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 89 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1069-8299
- DOI
- 10.1002/cnm.727
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The entry flow of viscoelastic second-order fluid between two parallel plates is discussed. The governing equations of vorticity and the streamfunction are expanded with respect to a small parameter that characterizes the elasticity of the fluid by means of the standard perturbation method. By using
## Abstract The generalized differential quadrature rule (GDQR) proposed recently by the authors is applied here to thirdβorder nonβlinear differential equations of the Blasius type and to sixthβorder linear Onsager differential equations. High (β©Ύ3rd)βorder differential equations in fluid mechanics
In this paper, the Fourier expansion-based differential quadrature (FDQ) and the polynomial-based differential quadrature (PDQ) methods are applied to simulate the natural convection in a concentric annulus with a horizontal axis. The comparison and grid independence of PDQ and FDQ results are studi