Method of homogeneous solutions in problems with mixed boundary conditions
β Scribed by G. S. Bulanov; V. A. Shaldyrvan
- Publisher
- Springer US
- Year
- 1989
- Tongue
- English
- Weight
- 321 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1573-8582
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π SIMILAR VOLUMES
Mixed boundary value problems are characterised by a combination of Dirichlet and Neumann conditions along at least one boundary. Historically, only a very small subset of these problems could be solved using analytic series methods ("analytic" is taken here to mean a series whose terms are analytic
In this paper, existence conditions and construction of an exsct series solution for coupled diffusion problems of the type ut -Ausr = G(z,t), u(O,t) = 0, Bzl(1, t) + C&(1, t) = o, u(qO) = f(z), 0 < x 5 1, t > 0 are treated. Here A is a positive stable matrix, matrix C-'B has real eigenvalues, and n