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  1. University of Mandalay
  1. University of Mandalay
  2. Department of Mathematics

Stability and Oscillatory Behavior of Higher Order Difference Methods for One-Dimensional Diffusion-Convection Problems

http://hdl.handle.net/20.500.12678/0000005591
http://hdl.handle.net/20.500.12678/0000005591
bf0f78df-35f9-4328-b6e3-476bcb20faee
a148aaf8-f566-4992-a31b-8132b5a9a9b8
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Stability Stability and Oscillatory Behavior of Higher Order Difference Methods .pdf (432 Kb)
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Publication type
Journal article
Upload type
Publication
Title
Title Stability and Oscillatory Behavior of Higher Order Difference Methods for One-Dimensional Diffusion-Convection Problems
Language en
Publication date 2020-05-30
Authors
Saw Aung Kyaw
Description
In this paper, an extensive analysis of two-level three-point finite-difference methods of order 2 in
time and 4 in space, for one-dimensional diffusion-convection problems is carried out. Then, as to
avoid difficulties near boundaries, higher order methods which only need three points in space are
formulated. And then the stability and the oscillatory behavior of the methods are determined.
Finally, the implementations of the methods to get accurate numerical results are obtained.
Keywords
Forward diffusive,, Stable,, Non-oscillatory, Truncation error,, Implementations.
Journal articles
3
University of Mandalay, Research Journal,
336-347
11
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