A First-Second Order Splitting Method for a Third-Order Partial Differential Equation

Q. Duan, G. Li, F. A. Milner

Research output: Contribution to journalArticlepeer-review

Abstract

A splitting of a third-order partial differential equation into a first-order and a second-order one is proposed as the basis for a mixed finite element method to approximate its solution. A time-continuous numerical method is described and error estimates for its solution are demonstrated. Finally, a full discretization is described based on backward Euler finite differences in time, and error estimates for the resulting approximation are established.

Original languageEnglish (US)
Pages (from-to)89-96
Number of pages8
JournalNumerical Methods for Partial Differential Equations
Volume14
Issue number1
DOIs
StatePublished - Jan 1998
Externally publishedYes

Keywords

  • Finite element method
  • Third-order differential equation

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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