Abstract：The paper presented a numeric modeling method--adaptive wavelet integration in time domain to resolve the issue of wave propagation.First, the dual variation was introduced and the wave equation in time derivatives of second order was reduced one-order equation by Hamilton transform, then, the wavelet analysis was used to digitize spatial variation of wave equation, the half-analytic solution in recursion form of original equation was obtained by combination with integration method in time domain.Using multi-scale property and vanishing moment property of wavelet analysis and in combination with threshold controlling, the calculating precision could be adaptively controlled; the stability of solution in time domain could be affectively guaranteed by using the half-analytic property of integration method in time domain.Comparison of numeric results with analytic solution showed the effectiveness of the method.
