𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.

✦ 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


Analytic numerical solution of coupled s
✍ L. Jódar; D. Goberna 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 437 KB

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

Stable numerical solution of strongly co
✍ M.C. Casabán; L. Jódar; J.A. Sánchez Cano 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 148 KB

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.