This note deals with the construction of solutions of Dirichlet's problem in a rectangle for separate variable coefficient second-order elliptic equations.
An algorithm for solving variable coefficient hyperbolic problems in a semi-infinite medium
✍ Scribed by J.C. Cortés; L. Jódar; M.D. Roselló
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 377 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
This paper provides an algorithm for constructing numerical solutions of variable coefficient problems in a semi-infinite medium. Using sine Fourier transform an integral expression of the solution is found. Then numerical integration and the numerical solution of certain underlying differential equations are used to establish the algorithm.
📜 SIMILAR VOLUMES
By means of imbedding in a semi infinite medium linear FREDHOLM integral equations are derived for transfer problems of polarized radiation in a scattering slab of finite optical thickness. The integral equations are formulated in terms of surface GREEN'S function matrices and renormalized for the z