Forward-Backward Alternating Parallel Shooting Method for Multi-layer Boundary Value Problems

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:4 Issue:4
Forward-Backward Alternating Parallel Shooting Method for Multi-layer Boundary Value Problems

Forward-Backward Alternating Parallel Shooting Method for Multi-layer Boundary Value Problems

Pages : 432-442

View : 96 | Download : 8

Publication Date : 2020-12-30

Article Type : Research Paper

Abstract :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-layer porous media such as ground water and oil reservoirs. In this work, we present a new method for solving multi-layer boundary value problems. The method is based on an efficient adaption of the classical shooting method, where a boundary value problem is solved by means of solving a sequence of initial value problems. We propose, an alternating forward-backward shooting strategy that reduces computational cost. 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.
Keywords : Boundary value problem, Shooting method, Fluid flow, Porous media

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