Higher Conditional Symmetry and Reduction of Initial Value Problems
โ Scribed by R. Z. Zhdanov
- Book ID
- 110332552
- Publisher
- Springer Netherlands
- Year
- 2002
- Tongue
- English
- Weight
- 93 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0924-090X
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๐ SIMILAR VOLUMES
A new scenario in the renormalization group symmetry method is introduced to solve an initial value problem for a system of partial differential equations. As a specific example, we give an exact solution to the shallow water equations, which describes two-dimensional flow over a flat bottom.
In this paper, various least-squares procedures to solve first-order initial value problems are studied. The accuracy and stability properties are investigated by applying the methods to a linear first-order ordinary differential equation. In relating the least-squares procedures to the weighted res