Computational moving boundary problems

Zerroukat, M and Chatwin, C R (1994) Computational moving boundary problems. Applied and Engineering Mathematics Series, 8 . Research Studies Press. ISBN 9780471951766

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Abstract

Moving boundary and boundary value problems occur in many physical and engineering processes involving heat transfer and phase changes, they range from icing problems, for example the Stefan problem, to the melting of metals and plastics using lasers. This book reviews and compares some well known and some recently developed methods to solve these problems. Recent advances in the finite difference solution of linear and non-linear partial differential equations are presented and algorithmic manipulations that enhance the computational efficiency are incorporated into the overall schemes. In this new approach, the the finite difference substitutions are made into the solutions of the partial differential equation rather than classically into the partial differential equation itself. This approach can be exploited for many types of partial differential equation and they may therefore be of interest to researchers studying a wide range of applications in physical problems such as diffusion and heat transfer equations, optoelectronic paraxial wave equations, the quantum mechanical wave equations, time dependent pulse propagation, and similar WKB-derived problemsM

Item Type: Book
Keywords: Moving boundary problems, boundary value problems, heat transfer, phase changes, Stefan problems, melting of metals and plastics using lasers. This book reviews finite difference solutions, linear partial differential equations, non-linear partial differential equations, computational efficiency, diffusion, heat transfer equations, optoelectronic paraxial wave equations, the quantum mechanical wave equations, time dependent pulse propagation
Schools and Departments: School of Engineering and Informatics > Engineering and Design
Subjects: Q Science
T Technology
Depositing User: Chris Chatwin
Date Deposited: 14 Jul 2015 09:32
Last Modified: 14 Jul 2015 09:32
URI: http://sro.sussex.ac.uk/id/eprint/55329

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