English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Fourth order accurate compact schemes for variable coefficientconvection-diffusion equations are considered. A sufficient condition forstability of the schemes have been derived using a difference equation basedapproach. The constant coefficient problems are considered as a special case,and the unconditional stability of compact schemes for such case is provedtheoretically. The condition number of the amplification matrix is alsoanalysed, and an estimate for the same is derived. In order to verify thederived conditions numerically, MATLAB codes are provided in Appendix of themanuscript. An example is provided to support the assumption taken to assurestability.

A Novel Difference Equation Approach for the Stability and Robustness of Compact Schemes for Variable Coefficient PDEs