Chebyshev pseudospectral method for computing numerical solution of convection-diffusion equation

Applied Mathematics and Computation

Volumn 200, Issue 2, 2008, Pages 537-546

  Bazan F S V ^a  

^a FEDERAL UNIVERSITY OF SANTA CATARINA   (Brazil)

Author keywords

Chebyshev pseudospectral method; Convection; Diffusion; Pseudoeigenvalues; Stability region

Indexed keywords

COMPUTATION THEORY; DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; PROBLEM SOLVING;

CHEBYSHEV PSEUDOSPECTRAL METHOD; PSEUDOEIGENVALUES; STABILITY REGION;

CHEBYSHEV APPROXIMATION;

EID: 44649089153     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.11.026     Document Type: Article

References (13)

1. Chen C.-T. Linear System Theory and Design. third ed. (1999), Oxford University Press, New York
2. Canuto C., Hussaini M.Y., Quarteroni A., and Zang T.A. Spectral Methods in Fluid Dynamics (1988), Springer, New York
3. Ismail H.N.A., Elbarbary E.M.E., and Salem G.S.E. Restrictive Taylor's approximation for solving convection-diffusion equation. Appl. Math. Comput. 147 (2004) 355-363
4. Fornberg B. A Practical Guide to Pseudospectral Methods (1996), Cambridge University Press, Cambridge
5. Meyer C.D. Matrix Analysis and Applied Linear Algebra (2004), SIAM, Philadelphia
6. Morton K.W. Numerical Solution of Convection-Diffusion Problems (1996), Chapman & Hall, London
7. Khojasteh Salkuyeh D. On the finite difference approximation to the convection-diffusion equation. Appl. Math. Comput. 179 (2006) 79-86
8. Reddy S., and Trefethen N. Stability analysis of the method of lines. Numer. Math. 62 (1992) 237-267
9. Smith G.D. Numerical Solution of Partial Differential Equations (1990), Oxford University Press, Oxford
10. Strikwerda J.C. Finite Differences Schemes and Partial Differential Equations. second ed. (2004), SIAM, Philadelphia
11. Thomas J.W. Numerical Partial Differential Equations-Finite Difference Methods (1995), Springer Verlag, New York
12. Trefethen L.N. Lax stability vs. eigenvalue stability of spectral methods. In: Morton K.W., and Baines M.J. (Eds). Numerical Methods for Fluid Dynamics III (1988), Clarendon Press, Oxford
13. Trefethen L.N. Spectral Methods in Matlab (2000), SIAM, Philadelphia, PA