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Bo-Ling Guo (1982)
The Convergence and Stability of a Class of Finite Difference Scheme for Periodic Boundary Problem of Zakharov EquationMathematica Numerica Sinica, 4
Bo-Ling Guo, Long-jun Shen (1982)
The Existence and Uniqueness of the Classical Solution on the Periodic Initial Value Problem for Zakharov EquationActa Mathematicae Applicatae Sinica, 5
This paper describes the spectral method for numerically solving Zakharov equation with periodic boundary conditions. This method is spectral method for spatial variable and difference method for time variable. We make error estimation of approximate solution and prove the convergence of spectral method. We had given the convergence rate. Also, we prove the stability of approximate method for initial values.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 13, 2005
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