ADI schemes for higher-order nonlinear diffusion equations

T. P. Witelski*, M. Bowen

*この研究の対応する著者

研究成果査読

113 被引用数 (Scopus)

抄録

Alternating Direction Implicit (ADI) schemes are constructed for the solution of two-dimensional higher-order linear and nonlinear diffusion equations, particularly including the fourth-order thin film equation for surface tension driven fluid flows. First and second-order accurate schemes are derived via approximate factorization of the evolution equations. This approach is combined with iterative methods to solve nonlinear problems. Problems in the fluid dynamics of thin films are solved to demonstrate the effectiveness of the ADI schemes.

本文言語English
ページ(範囲)331-351
ページ数21
ジャーナルApplied Numerical Mathematics
45
2-3
DOI
出版ステータスPublished - 2003 5
外部発表はい

ASJC Scopus subject areas

  • 数値解析
  • 計算数学
  • 応用数学

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