A high-precision projection method for a fourth-order differential equation
β Scribed by A. A. Klunnik; V. G. Prikazchikov
- Publisher
- Springer US
- Year
- 1994
- Tongue
- English
- Weight
- 260 KB
- Volume
- 68
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
In a recent paper (Mckee, 19751 the Hopscotch method was applied to solve the fourth-order parabolic (beam) equation. Several computational schemes were discussed which prove to be conditionally stable with the stability range no better than that of the usual explicit scheme. By using two different
## 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.
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