Characteristic Analysis of Exponential Compact Higher Order Schemes for Convection-Diffusion Equations

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DOI: 10.4236/ajcm.2011.12005   PDF   HTML     5,069 Downloads   10,214 Views   Citations

Abstract

This paper looks at the development of a class of Exponential Compact Higher Order (ECHO) schemes and attempts to comprehend their behaviour by introducing different combinations of discrete source function and its derivatives. The characteristic analysis is performed for one-dimensional schemes to understand the efficiency of the scheme and a similar analysis has been introduced for higher dimensional schemes. Finally, the developed schemes are used to solve several example problems and compared the error norms and rates of convergence.

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Y. Sanyasiraju and N. Mishra, "Characteristic Analysis of Exponential Compact Higher Order Schemes for Convection-Diffusion Equations," American Journal of Computational Mathematics, Vol. 1 No. 2, 2011, pp. 39-54. doi: 10.4236/ajcm.2011.12005.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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