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提出了一种求解状态方程的方法 :频域快速小波配置法 .通过将状态方程转入频域求解 ,并对输出变量直接进行小波展开 .这一方法比原有的时域快速小波配置法大大减少了未知变量的数目 ,从而使计算速度和存储空间都有很大程度的改善 .由于小波函数及其反变换均有显式的数学表达式 ,这一方法在得到频域解析近似解的同时就可以获得时域解析近似解 ,无须在计算过程中进行耗时的数值积分反变换 .同时通过自适应算法的引入 ,这一方法可以有效提高计算效率 .
A new method of solving the equation of state is proposed: the fast frequency domain wavelet method, the state equation is transformed into the frequency domain and the output variables are directly expanded by wavelet, which is much larger than the existing time-domain fast wavelet method Reduce the number of unknown variables, so that the computational speed and storage space are greatly improved.Because the wavelet function and its inverse transform have explicit mathematical expressions, this method in the frequency domain analytical approximate solution The time-domain analysis approximate solution can be obtained without the time-consuming numerical integration inverse transformation in the calculation process.At the same time through the introduction of adaptive algorithm, this method can effectively improve the computational efficiency.