A unified approach for solving convection-diffusion problems using the Generalized Integral Transform Technique (GITT) was advanced and coined as the UNIT (UNified Integral Transforms) algorithm, as implied by the acronym. The unified manner through which problems are tackled in the UNIT framework a
On the integral transform solution of convection–diffusion problems within unbounded domain
✍ Scribed by Alcino Resende Almeida; Renato Machado Cotta
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 104 KB
- Volume
- 336
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
✦ Synopsis
The solution of convection}di!usion problems, de"ned within unbounded regions, is investigated by making use of the generalized integral transform technique. This hybrid numericalanalytical approach, widely employed in the solution of various classes of problems within "nite domains, is tested in the handling of unbounded domains through two di!erent schemes, namely, a plain domain truncation procedure and a coordinate transformation approach. Numerical results are obtained from a linear Burgers-type model in order to illustrate the relative merits in each proposed solution scheme.
📜 SIMILAR VOLUMES
We are interested in the following nonlinear elliptic equation u + u (., u) = 0 in D, where D is a smooth unbounded domain in R 2 . Under appropriate conditions on the nonlinearity (x, t), related to a certain Kato class, we give some existence results and asymptotic behavior for positive solutions
## Abstract The forward problem of electrical impedance tomography on unbounded domains can be studied by introducing appropriate function spaces for this setting. In this paper we derive the point‐wise asymptotic behaviour of weak solutions to this problem in the three‐dimensional case. Copyright