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Feng, X. F.; Tian, Z. F.

Alternating group explicit method with exponential-type for the diffusion-convection equation. (English) Zbl 1114.65100

Int. J. Comput. Math. 83, No. 10, 765-775 (2006).
Summary: Based on the semi-explicit asymmetric exponential schemes, a new alternating group explicit method with exponential-type for the numerical solution of the convection-diffusion equation is derived. The method has the obvious property of parallelism and is unconditionally stable. The results of numerical examples are given to show the effectiveness of the present methods that are in preference to the method of D. J. Evans and A. R. Abdullah [Comput. Math. Appl. 11, 145–154 (1985; Zbl 0579.65094)].

Cited in 1 Review
Cited in 8 Documents

MSC:

65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35K15 Initial value problems for second-order parabolic equations
65Y05 Parallel numerical computation

Keywords:

diffusion-convection equation; alternating group explicit method; parallel computation; stability; semi-explicit asymmetric exponential schemes; numerical examples

Citations:

Zbl 0579.65094
Cite Review PDF
Full Text: DOI

References:

[1] Evans D. J., International Journal of Computer Mathematics 14 pp 73– (1983) · Zbl 0517.65069 · doi:10.1080/00207168308803377
[2] Evans D. J., International Journal of Computer Mathematics 14 pp 325– (1983) · Zbl 0517.65070 · doi:10.1080/00207168308803394
[3] Evans D. J., Computing 32 pp 239– (1984) · Zbl 0523.65071 · doi:10.1007/BF02243575
[4] Evans D. J., Applied Mathematical Modelling 9 pp 201– (1985) · Zbl 0591.65068 · doi:10.1016/0307-904X(85)90008-3
[5] DOI: 10.1080/00207168808803651 · Zbl 0683.65093 · doi:10.1080/00207168808803651
[6] Evans D. J., International Journal of Computer Mathematics 26 pp 117– (1988) · Zbl 0683.65094 · doi:10.1080/00207168908803689
[7] Evans D. J., International Journal of Computer Mathematics 29 pp 39– (1989) · Zbl 0675.65107 · doi:10.1080/00207168908803747
[8] Kellogg R. B., Journal of SIAM 12 pp 848– (1964)
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