Analysis on two approaches for high order accuracy finite difference computation

Jun Zhang, Xinyu Geng, Ruxin Dai

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We analyze two approaches for enhancing the accuracy of the standard second order finite difference schemes in solving one dimensional elliptic partial differential equations. These are the fourth order compact difference scheme and the fourth order scheme based on the Richardson extrapolation techniques. We study the truncation errors of these approaches and comment on their regularity requirements and computational costs. We present numerical experiments to demonstrate the validity of our analysis.

Original languageEnglish
Pages (from-to)2081-2085
Number of pages5
JournalApplied Mathematics Letters
Issue number12
StatePublished - Dec 2012


  • Elliptic partial differential equations
  • Finite difference scheme
  • Fourth order compact scheme
  • Richardson extrapolation

ASJC Scopus subject areas

  • Applied Mathematics


Dive into the research topics of 'Analysis on two approaches for high order accuracy finite difference computation'. Together they form a unique fingerprint.

Cite this