【摘要】 本文利用微分算子的小波表示，讨论一维热传导方程初值问题的Ｄａｕｂｅｃｈｉｅｓ小波解，给出此问题的显式离散格式．由于小波在时间和频率上的局部性，此方法特别适用于有奇异解的热传导方程，逼近精度高，而且没有发生解的振荡现象。更多还原

【Abstract】 In this paper, the initial value problem of one-dimension heat-conduction equation solved by Daubechies wavelet is discussed. The explicit discrete scheme of the above problem is given using the wavelet representation of differential operator. Because the wavelets have the time-frequency local property, the above method especially adapt to the heat-conduction equation with the singular solution, and its accuracy is high, and do not have the oscillation phenomenon.更多还原