Compressible Heisenberg Chain Equations In A Class Of Numerical Solutions

In this thesis the following Compressible Heisenberg Chain equations with periodic initial value problem is considered: An explicit finite difference scheme, the semi-discrete and fulll discrete Fourier spectral and pseudo-spectral schemes are proposeed. The convergences and stabilities for the schemes are proved. Moreover, the algorithm for the explicit finite difference scheme and the pseudo-spectral method arc provided. Finally, the theoretical results are checked by numerical examples.