The heat conduction equations considering heat resource are established, and the corresponding boundary conditions are given.
建立了考虑热源项的热传导方程，并给出了相应的边界条件。
This paper is concerned with the mixed boundary problems of dual-phase-lagging heat conduction equations arising in many fields.
本文考虑一类具有广泛应用背景的双相滞热传导方程混合边界问题。
It is an important method that the exact solutions of the heat conduction equations test the correctness of the numerical solutions.
反之，用数值解来分析精确解的完整性也是一种有意义的方法。
The heat conduction equations were developed for the pulsed laser beams and pulsed ion beams with the various pulse duration and energy density.
在脉冲激光束和脉冲离子束辐照条件下，针对不同脉冲作用时间和能量密度建立传热模型。
According to rate and heat conduction equations, the distribution of power and temperature in end pumped Yb3 + doped double clad fiber laser is studied.
从速率方程和热传导方程出发，数值分析了端面抽运方式下双包层光纤激光器的功率和温度特性。
For the transformed solution of the thermoelastic and heat conduction equations coupled problem, the analytical representation of the pole residues is obtained.
利用热弹体运动方程和热传导方程耦合问题的变换域解，求解其极点留数的解析表达式。
By combining various orders of homogenized non-Fourier heat conduction equations, the reduced time dependence is eliminated and the fourth-order differential equations are derived.
合并不同阶的均匀化非傅立叶热传导方程，消去缩小时间尺度参数，得到四阶微分方程。
In this paper, the finite double Fourier transforms were applied to solve the nonhomogeneous boundary value problems of the wave, heat conduction, Laplace and Poisson equations.
本文用有限的二重傅里叶变换解波动方程，热传导方程，拉普拉斯方程以及泊松方程的非齐次边值问题。
The equations of heat conduction and thermoelastic dynamics are solved through integral-transform method. Transient distribution of temperature field and thermal stress field is described.
通过积分变换方法，求解热传导和热弹性力学方程组，由此得到激光辐照引起的温度场和热应力场的瞬态分布。
Heat equation is the most typical one of parabolical equations, which describes many physical-phenomenas, such as conduction, diffusion. Etc.
如描述热传导、扩散等物理现象的热传导方程就是最典型的抛物型方程。
A general solution of multiple scattered waves in solids based on wave equations of heat conduction is given.
基于热传导波动模型给出了物体中热波多重散射问题的一般解。
A kind of fractional steps finite difference scheme is introduced to solve two dimensional equations of heat conduction with three temperature.
对二维三温热传导方程组提出一类分数步有限差分格式。
The steady heat-conduction differential simultaneous equations of multicomposite plate with nonuniform generation are solved by the superposition principle.
用叠加原理求解多层非均匀内热源组合平板稳态导热微分方程组，得出热流量分布公式和温度公式。
The equations of heat conduction and thermoelastic dynamics are solved through integral-transform method in circular cylindrical coordinates.
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。
This is Fourier's law of heat conduction. It's a partial differential equation. We have the only cookbook in the world that has partial differential equations in it.
这是傅立叶热传导定律，这是一个偏微分方程序，我们拥有世上唯一写上偏微分方程序的食谱。
This is Fourier's law of heat conduction. It's a partial differential equation. We have the only cookbook in the world that has partial differential equations in it.
这是傅立叶热传导定律，这是一个偏微分方程序，我们拥有世上唯一写上偏微分方程序的食谱。
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