In this paper, we consider coupled semi-infinite diffusion problems of the form ut(x, t)-A2uxx (x,t) = 0, x > 0, t > 0, subject to u(0, t) = B and u(x,O) = O, where A is a matrix in C r×r, and u(x, t), and B axe vectors in C r. Using the Fourier sine transform, an explicit exact solution of the prob
Analytic and numerical solution of coupled implicit semi-infinite diffusion problems
✍ Scribed by L. Jódar; J. Pérez; R.J. Villanueva
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 567 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
This paper deals with singular coupled implicit semi-infinite mixed diffusion problems. By application of the sine Fourier transform, existence conditions and an analytic closed form solution is first obtained. Given an admissible error and a rectangular bounded closed domain, analyticnumerical approximations whose error with respect to the exact solution is less than the admissible error in the bounded domain are constructed. An algorithm and an illustrative example are included.
📜 SIMILAR VOLUMES
In this paper, the method proposed in [11 tbr the construction of stable solutions of strongly coupled mixed diffusion problems is extended to more general initial value conditions.