在圆柱坐标系中利用积分变换法，求解热传导和热弹性力学方程组。
The equations of heat conduction and thermoelastic dynamics are solved through integral-transform method in circular cylindrical coordinates.
在衍射理论基础上详细推导了三种再现算法(菲涅耳积分变换法、卷积法、傅立叶变换法)的数学表示。
Mathematical representations for three kinds of reconstruction algorithms (Fresnel integral, convolution and Fourier transform) of digital hologram are deduced based on the diffraction theory.
分别用积分变换法和奇异摄动法，导出了数学模型在拉氏域内的解和时间域内的近似解析解，并用导得的解进行模型参数估值。
Parameters are evaluated by using an integral transform technique and a single perturbation technique. An improved method of moment is provided to treat experimental data.
在二维情况下，忽略热扩散效应，利用汉克尔积分变换法和最陡下降法，求解热扩散方程和波动方程，得出了位移的解析表达式。
The thermal equation and wave equation are solved by the methods of Hankel transform and steepest descent, and the general expression of displacement is obtained.
在二维情况下，忽略热扩散效应，利用汉克尔积分变换法和最陡下降法，求解热扩散方程和波动方程，得出了位移的解析表达式。
The thermal equation and wave equation are solved by the methods of Hankel transform and steepest descent, and the general expression of displacement is obtained.
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