铁磁链方程的Fourier谱方法和拟谱方法  

SPECTRAL AND PSEUDO-SPECTRAL METHODS FOR FERRO-MAGNETIC CHAIN EQUATIONS

作　　者：鲁百年[1] 房少梅 

机构地区：[1]湘潭大学计算与应用数学研究所 [2]新疆兵团党校

出　　处：《计算数学》1997年第4期399-408,共10页Mathematica Numerica Sinica

基　　金：国家自然科学基金

摘　　要：In this paper, the following ferro magnetic chain equation with periodic initial value problem is considered:The seni-discrete and fully discrete Fourier spectral and pseudo-spectral schemes are proposed. The convergences and stabilities for the schemes are proved. More over, the algorithm for the pseudo-spectral method is provided. Finally, some numerical experiments are given and compared with difference methods.In this paper, the following ferro magnetic chain equation with periodic initial value problem is considered:The seni-discrete and fully discrete Fourier spectral and pseudo-spectral schemes are proposed. The convergences and stabilities for the schemes are proved. More over, the algorithm for the pseudo-spectral method is provided. Finally, some numerical experiments are given and compared with difference methods.

关 键 词：铁磁链方程 傅里叶谱法 拟谱法 

分 类 号：O241.82[理学—计算数学] O482.4[理学—数学]