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具有小波数色散关系式Taylor展开的理论证明
引用本文:张宝善.具有小波数色散关系式Taylor展开的理论证明[J].徐州师范大学学报(自然科学版),1996(4).
作者姓名:张宝善
作者单位:徐州师范大学数学系
摘    要:研究扰动水波中先导波情形时色散关系式的Taylor展开,给出先导波情形时色散关系式的Taylor展开的理论推导,同时也得到了计算Taylor展式的一个迭代公式,这种公式可以通过计算机代数来实现.

关 键 词:先导波,色散关系式,Taylor展开,计算机代数

Theoretical Proof of Taylor's Expansion to Dispersive Relation with Small Wave-number
Zhang Baoshan.Theoretical Proof of Taylor's Expansion to Dispersive Relation with Small Wave-number[J].Journal of Xuzhou Normal University(Natural Science Edition),1996(4).
Authors:Zhang Baoshan
Abstract:The Taylor's expansion to the dispersive relation of the leading wave in disturbance water wavesis considered.A theoretical proof of the Taylor's expansion to the dispersive relation is proposed and an iterativeformula in calculating Taylor's expansion is obtained as well. These iterations can be make out by computeralgebra.
Keywords:Leading wave  dispersive relation  Taylor's expansion  computer algebra  
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