Multi-layer parallel shooting method for multi-layer boundary value problems

Multi-layer boundary value problems have received a great deal of attention in the past few years. This is due to the fact that they model many engineering applications. Examples of applications include fluid flow though multi-layers porous media such as ground water and oil reservoirs. In this work...

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Bibliographic Details
Published in2009 International Conference on Innovations in Information Technology (IIT) pp. 289 - 293
Main Authors Allan, Fathi M, Hajji, Mohamed Ali
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.12.2009
Subjects
Boundary conditions
Boundary value problems
Differential equations
Finite difference methods
Fluid flow
Hydrocarbon reservoirs
Nonhomogeneous media
Parallel processing
Petroleum
Water resources
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Summary:Multi-layer boundary value problems have received a great deal of attention in the past few years. This is due to the fact that they model many engineering applications. Examples of applications include fluid flow though multi-layers porous media such as ground water and oil reservoirs. In this work, we present a new method for solving multilayer boundary value problems. The method is based on an efficient adaption of the classical shooting method, where boundary value problems are solved for by means of solving a sequence of initial value problems. Illustration of the method is presented on application to fluid flow through multi-layer porous media. The examples presented suggested that the method is reliable and accurate.
ISBN:9781424456987
1424456983
DOI:10.1109/IIT.2009.5413402