Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1153.76049
Chen, Changming; Liu, F.; Anh, V.
A Fourier method and an extrapolation technique for Stokes' first problem for a heated generalized second-grade fluid with fractional derivative. (English)
[J] J. Comput. Appl. Math. 223, No. 2, 777-789 (2009). ISSN 0377-0427

Summary: We consider Stokes' first problem for a heated generalized second-grade fluid with fractional derivative (SFP-HGSGF). Implicit and explicit numerical approximation schemes for the SFP-HGSGF are presented. The stability and convergence of the numerical schemes are discussed using a Fourier method. In addition, the solvability of the implicit numerical approximation scheme is also analyzed. A Richardson extrapolation technique for improving the order of convergence of the implicit scheme is proposed. Finally, a numerical test is given. The numerical results demonstrate good performance of our theoretical analysis.

MSC 2000:: *76M25 Other numerical methods
76A10 Viscoelastic fluids
80A20 Heat and mass transfer

Keywords: stability; convergence; Richardson technique

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]