Numerical analysis of heat and moisture transport with a finite difference method

Buyang Li, Weiwei Sun

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 Citations (Scopus)

Abstract

In this article, we study a system of nonlinear parabolic partial differential equations arising from the heat and moisture transport through textile materials with phase change. A splitting finite difference method with semi-implicit Euler scheme in time direction is proposed for solving the system of equations. We prove the existence and uniqueness of a classical positive solution to the parabolic system as well as the existence and uniqueness of a positive solution to the splitting finite difference system. We provide optimal error estimates for the splitting finite difference system under the condition that the mesh size and time step size are smaller than a positive constant which solely depends upon the physical parameters involved. Numerical results are presented to confirm our theoretical analysis. Numer Methods Partial Differential Eq 2013
Original languageEnglish
Pages (from-to)226-250
Number of pages25
JournalNumerical Methods for Partial Differential Equations
Volume29
Issue number1
DOIs
Publication statusPublished - 1 Jan 2013
Externally publishedYes

Keywords

  • existence and uniqueness
  • global boundedness
  • heat and moisture transport
  • splitting finite difference method

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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