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Small-stencil Padé schemes to solve nonlinear evolution equations

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Abstract

A set of small-stencil new Padé schemes with the same denominator are presented to solve high-order nonlinear evolution equations. Using this scheme, the fourth-order precision can not only be kept, but also the final three-diagonal discrete systems are solved by simple Doolittle methods, or ODE systems by Runge-Kutta technique. Numerical samples show that the schemes are very satisfactory. And the advantage of the schemes is very clear compared to other finite difference schemes.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Science and Technology of China, 230026, Hefei, P. R. China

    Liu Ru-xun (Professor, Doctor) & Wu Ling-ling

Authors
  1. Liu Ru-xun
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  2. Wu Ling-ling
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Corresponding author

Correspondence to Liu Ru-xun.

Additional information

Communicated by DAI Tian-min, Original Member of Editorial Committee, AMM

Project supported by the National Natural Science Foundation of China (Nos. 10371118 and 90411009); the Science Foundation of State Key Laboratory of Fire Science (SKLFS) and the Science Foundation of Beijing Computational Physics Laboratory

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Ru-xun, L., Ling-ling, W. Small-stencil Padé schemes to solve nonlinear evolution equations. Appl Math Mech 26, 872–881 (2005). https://doi.org/10.1007/BF02464236

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  • DOI: https://doi.org/10.1007/BF02464236

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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