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On the Error Estimates of the Fully Discrete Nonlinear Galerkin Method with Variable Modes to Kuramoto-Sivashinsky Equation

In: Recent Progress in Computational and Applied PDES

Author

Listed:
  • Wu Yu-jiang

    (Lanzhou University, Department of Mathematics
    Academy of Mathematics and System Scienses, Institute of Computational Mathematics and Scientific/Engineering Computing)

  • Yang Zhong-hua

    (Shanghai Normal University, School of Mathematical Science)

Abstract

We investigate the fully discrete schemes of the nonlinear Galerkin method with variable modes for solving the Kuramoto-Sivashinsky equation. We address also the problem of error analysis for the approximate solutions. Theoretical and numerical verification shows that we can change appropriately the number of modes of the small structure components which will lead the discretization to the higher precision than usual.

Suggested Citation

  • Wu Yu-jiang & Yang Zhong-hua, 2002. "On the Error Estimates of the Fully Discrete Nonlinear Galerkin Method with Variable Modes to Kuramoto-Sivashinsky Equation," Springer Books, in: Tony F. Chan & Yunqing Huang & Tao Tang & Jinchao Xu & Long-An Ying (ed.), Recent Progress in Computational and Applied PDES, pages 383-397, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-0113-8_26
    DOI: 10.1007/978-1-4615-0113-8_26
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