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Direct and inverse one-phase Stefan problem solved by the variational iteration method

✍ Scribed by Damian Słota

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
504 KB
Volume
54
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, solutions of one-phase direct and inverse Stefan problems are presented. The direct problem consists in a calculation of temperature distribution and of a function which describes the position of the moving interface, whilst the inverse problem consists in a calculation of temperature distribution as well as in the reconstruction of the function which describes the temperature distribution on the boundary, when the position of the moving interface is known. The proposed solution is based on the variational iteration method, after the application of which we obtain the solution in the form of continuous functions.

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Solving elliptic boundary-value problems on parallel processors by approximate inverse matrix semi-direct methods based on the multiple explicit Jacobi iteration
✍ Elias A. Lipitakis 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 836 KB

Approximate inverse matrix semi-direct methods for solving numerically linear systems on parallel processors are presented. The derived first and second order iterative methods possessing a high level of parallelism are based on the multiple explicit Jacobi iteration and originated by the approximat