Forward-backward alternating parallel shooting method for multi-layer boundary value problems

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)432-442
Number of pages11
JournalAdvances in the Theory of Nonlinear Analysis and its Applications
Volume4
Issue number4
DOIs
Publication statusPublished - 2020

Keywords

  • Boundary value problem
  • Fluid flow
  • Porous media
  • Shooting method

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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