Computational Stability of Non-Conservative Schemes of Nonlinear Evolution Equations

doi:10.7523/j.issn.2095-6134.2004.3.019

Abstract

Abstract:

For the non conservative schemes of nonlinear evolution equations, taking two dimensional shallow water wave equation as an example, the necessary conditions of computational stability are given. Based on the numerical tests, the relationship between the nonlinear computational stability, the construction of difference schemes, and the form of initial values is further discussed. It is proved through theoretical analysis and numerical tests that the computational stability of non conservative schemes is not only dependent on the structure of the scheme, but also on the form of initial values and their partial derivatives.

Key words: nonlinear evolution equation, non-conservative scheme, computational stability, initial value

CLC Number:

P45617

LIN WanTao. Computational Stability of Non-Conservative Schemes of Nonlinear Evolution Equations[J]. , 2004, 21(3): 402-406.

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