## Abstract The generalized differential quadrature rule (GDQR) proposed here is aimed at solving highβorder differential equations. The improved approach is completely exempted from the use of the existing __Ξ΄__βpoint technique by applying multiple conditions in a rigorous manner. The GDQR is used
Asymptotic Theory for a General Fourth - Order Differential Equation
β Scribed by A. S. A. Al-Hammadi
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 364 KB
- Volume
- 199
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
An asymptotic theory is developed for a general fourthβorder differential equation. The theory is applied with large coefficients. The forms of the asymptotic solutions are given under general conditions on the coefficients.
π SIMILAR VOLUMES
## Abstract Oscillation criteria for selfβadjoint fourthβorder differential equations were established for various conditions on the coefficients __r__(__x__) > 0, __q__(__x__) and __p__(__x__). However, most of these results deal with the case when lim~__x__ β β~β«^__x__^~1~__q__(__s__)β__ds__ < +
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