- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 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
Authors : Mohamed Ali Hajji
Pages : 432-442
Doi:10.31197/atnaa.753561
View : 5 | Download : 3
Publication Date : 2020-12-30
Article Type : Research
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