Small-stencil padé schemes to solve nonlinear evolution equations

Applied Mathematics and Mechanics (English Edition)

Volumn 26, Issue 7, 2005, Pages 872-881

  Liu, Ru Xun ^a   Wu, Ling Ling ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Compact scheme; Evolution equation; Node stencil; Pad scheme; Soliton

Indexed keywords

FINITE DIFFERENCE METHOD; NONLINEAR EQUATIONS; RUNGE KUTTA METHODS; SOLITONS;

COMPACT SCHEME; DENOMINATOR; EVOLUTION EQUATION; NODE STENCIL; PADÉ SCHEME; SIMPLE DOOLITTLE METHODS; THREE DIAGONAL DISCRETE SYSTEMS;

EVOLUTIONARY ALGORITHMS;

EID: 23944489928     PISSN: 02534827     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02464236     Document Type: Article

References (10)

1. Kahan W, LI Renchang. Unconventional schemes for a class of ordinary differential equations with applications to the Korteweg-de Vries equation[J]. J Math Phys, 1991, 134(6): 316-331.
2. Gardner L R T, Gardner G A. Solitary waves of regularized long-wave equation[J]. J Math Phys, 1990, 91: 441-459.
3. Lele S K. Compact finite difference schemes with spectral-like resolution[J]. Journal of Computational Physics, 1992, 103: 16-42.
4. Kobayashi M H. On a class of Fade finite volume methods[J]. Journal of Computational Physics, 1999, 156(1): 137-180.
5. Hixon R. Prefactored small-stencil compact schemes[J]. Journal of Computational Physics, 2000, 165(2): 522-541.
6. Carpenter M H. Methodology and application to high-order compact schemes[J]. Journal of Computational Physics, 1994, 111: 220-236.
7. Goedheer W J, Potters J H H M. A compact finite scheme on a non-equidistant mesh[J]. Journal of Computational Physics, 1985, 61: 269-279.
8. Ganosa J, Gazdag J. The Korteweq-de Vries-Burgers equation[J]. Journal of Computational Physics, 1977, 23: 293-403.
9. Xin Xiaokang, Liu Ruxun, Jiang Baicheng. Computational Fluid Dynamics[M]. Publishing House of National Defence Science and Technology of China, Changsha, 1989 (in Chinese).
10. Liu Ruxun, Shu Qiwang. New Methods to Solve Computational Fluid Problem[M]. Science Publishing House, Beijing, 2003 (in Chinese).