Stability and error analysis on modified nodal expansion method for transient convection-diffusion equation

Zhi Hong Deng, Yu Liang Sun, Fu Li, Rizwan-uddin

Research output: Research - peer-reviewArticle

Abstract

To further investigate the features of modified nodal expansion method (MNEM) for solving the convection-diffusion equation, the stability and error analysis were carried out. Based on sign preservation principle, the stability analysis reveals that the MNEM has inherent stability. The error analysis was implemented through a series of numerical experiments, and the results show that the MNEM is 3rd order scheme for one dimensional problem, while as 2nd order scheme for multi-dimensional problem because of using simple transverse leakage approximation.

LanguageEnglish (US)
Pages298-304
Number of pages7
JournalYuanzineng Kexue Jishu/Atomic Energy Science and Technology
Volume48
Issue number2
DOIs
StatePublished - 2014

Fingerprint

Convergence of numerical methods
Error analysis
Convection
Experiments

Keywords

  • Convection-diffusion equation
  • Error analysis
  • Modified nodal expansion method
  • Stability

ASJC Scopus subject areas

  • Nuclear Energy and Engineering

Cite this

Stability and error analysis on modified nodal expansion method for transient convection-diffusion equation. / Deng, Zhi Hong; Sun, Yu Liang; Li, Fu; Rizwan-uddin.

In: Yuanzineng Kexue Jishu/Atomic Energy Science and Technology, Vol. 48, No. 2, 2014, p. 298-304.

Research output: Research - peer-reviewArticle

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