A Three-Point Combined Compact Difference Scheme

Abstract

A new three-point combined compact difference (CCD) scheme is developed for numerical models. The major features of the CCD scheme are: three point, implicit, sixth order accuracy, and inclusion of boundary values. Due to its combination of the first and second derivatives, the CCD scheme becomes more compact and more accurate than normal compact difference schemes. The efficient twin-tridiagonal (for calculating derivatives) and triple-tridiagonal (for solving partial difference equation with the CCD scheme) methods are also presented. Beside, the CCD scheme has sixth-order accuracy at periodic boundaries and fifth-order accuracy at non periodic boundaries. The possibility of extending to a three-point eighth-order scheme is also included.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1998
Accession Number
ADA480666

Entities

People

  • Chenwu Fan
  • Peter Cheng Chu

Organizations

  • Naval Postgraduate School

Tags

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  • Difference Equations
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Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Image Processing and Computer Vision.