EXPONENTIAL COMPACT HIGHER-ORDER SCHEMES AND THEIR STABILITY ANALYSIS FOR UNSTEADY CONVECTION-DIFFUSION EQUATIONS-Reference-Cited by-同舟云学术

EXPONENTIAL COMPACT HIGHER-ORDER SCHEMES AND THEIR STABILITY ANALYSIS FOR UNSTEADY CONVECTION-DIFFUSION EQUATIONS

Published:2013-09-02 Issue:01 Volume:11 Page:1350053
ISSN:0219-8762
Container-title:International Journal of Computational Methods
language:en
Short-container-title:Int. J. Comput. Methods

Author:

MISHRA NACHIKETA¹,SANYASIRAJU Y. V. S. S.²

Affiliation:

1. Supercomputer Education and Research Centre, Indian Institute of Science, Bangalore 560012, India

2. Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India

Abstract

Exponential compact higher-order schemes have been developed for unsteady convection-diffusion equation (CDE). One of the developed scheme is sixth-order accurate which is conditionally stable for the Péclet number 0 ≤ Pe ≤ 2.8 and the other is fourth-order accurate which is unconditionally stable. Schemes for two-dimensional (2D) problems are made to use alternate direction implicit (ADI) algorithm. Example problems are solved and the numerical solutions are compared with the analytical solutions for each case.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Mathematics,Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219876213500539

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3. A Blended Compact Difference (BCD) Method for Solving 3D Convection–Diffusion Problems with Variable Coefficients;International Journal of Computational Methods;2019-05-07

4. Higher order ADI method with completed Richardson extrapolation for solving unsteady convection–diffusion equations;Computers & Mathematics with Applications;2016-01