TY - JOUR
T1 - Forward-backward alternating parallel shooting method for multi-layer boundary value problems
AU - Hajji, Mohamed Ali
N1 - Publisher Copyright:
© 2020, Erdal Karapinar. All rights reserved.
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
KW - Boundary value problem
KW - Fluid flow
KW - Porous media
KW - Shooting method
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U2 - 10.31197/atnaa.753561
DO - 10.31197/atnaa.753561
M3 - Article
AN - SCOPUS:85098485582
SN - 2587-2648
VL - 4
SP - 432
EP - 442
JO - Advances in the Theory of Nonlinear Analysis and its Applications
JF - Advances in the Theory of Nonlinear Analysis and its Applications
IS - 4
ER -