High accuracy non-equidistant method for singular perturbation reaction-diffusion problem-Reference-Cited by-同舟云学术

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High accuracy non-equidistant method for singular perturbation reaction-diffusion problem

Published:2009-02 Issue:2 Volume:30 Page:175-182
ISSN:0253-4827
Container-title:Applied Mathematics and Mechanics
language:en
Short-container-title:Appl. Math. Mech.-Engl. Ed.

Author:

Cai Xin,Cai Dan-lin,Wu Rui-qian,Xie Kang-he

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials

Link

http://link.springer.com/content/pdf/10.1007/s10483-009-0205-8.pdf

Reference14 articles.

1. Farrell, P., Hegarty, A. F., Miller, J. J. H., O’Riordan, E., and Shishkin, G. I. Robust Computational Techniques for Boundary Layers, Chapman and Hall/CRC, Boca Raton (2000)

2. Miller, J. J. H., O’Riordan, E., and Shishkin, G. I. Fitted Numerical Methods for Singular Perturbation Problems, World Scientific, Singapore (1996)

3. Cai, Xin. A conservative difference scheme for conservative differential equation with periodic boundary. Appl. Math. Mech. -Engl. Ed. 22(10), 1210–1205, (2001) DOI:10.1023/A:1016305602480

4. Cai, Xin and Liu, Fawang. Uniform convergence difference schemes for singularly perturbed mixed boundary problems. Journal of Computational and Applied Mathematics 166, 31–54 (2004)

5. Cai, Xin and Liu, Fawang. A Reynolds uniform scheme for singularly perturbed parabolic differential equation. ANZIAM J. 47, 633–648 (2007)

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