1) heat conduction equation with variable coefficients
变系数热传导方程
1.
By using the homogeneous balance principle (HBP) and Hermite transform, various kinds of exact solutions to a stochastic nonlinear evolution equations can be algebraically obtained in terms of the exact solutions of heat conduction equation with variable coefficients.
利用齐次平衡原则及厄尔米特变换,借助于变系数热传导方程的各种精确解,用代数的方法获得了一随机非线性发展方程组的各种精确解。
2.
In terms of the BT and the exact solutions of heat conduction equation with variable coefficients, various exact solutions to the equations can be algebraically obtained.
利用齐次平衡原则,导出了一变系数非线性发展方程组的自-Backlund变换(自-BT);借助此自-BT和变系数热传导方程的各种精确解用代数的方法获得了方程组的各种精确解。
2) Heat-conduction equation
热传导方程
1.
A stefan problem of Heat-conduction equations with heat source;
一类含热源的热传导方程Stefan问题
2.
An ADI scheme for solving heat-conduction equation of high-dimension;
解高维热传导方程的一个高精度ADI格式
3.
In this paper,the exact solution and approximate solution of the boundary control problem for a class of the heat-conduction equation are given.
给出了热传导方程边界控制问题的精确解和近似解,证明了近似解对精确解的收敛性。
3) heat transfer equation
热传导方程
1.
The simultaneous solution of the generalized Reynolds equation,three-dimensional energy equation,three-dimensional heat transfer equation and force equilibrium equation were presented and the changes of the lubricant viscosity and density with the temperature and pressure were taken into account.
联立求解了广义雷诺方程、三维能量方程、三维固体热传导方程及载荷平衡方程 ,并考虑粘度随温度及压力、密度随粘度及压力的变化 ,在油膜与轴瓦界面使用热流连续性边界条件 ,得到了圆轴承油膜及轴瓦的三维温度场。
2.
,the heat transfer equation.
就一类典型的抛物型问题——热传导方程,研究矩形网格上质量集中有限元方法的有关性质。
3.
The theoretical simulations are made based on the heat transfer equation.
温升曲线和热传导方程计算结果做了对比,结果表明,低功率辐照下2mm厚样品的温升曲线和理论曲线较吻合,很显然,对于理论计算而言,35GHz毫米波辐照下2mm厚度以上的离体皮肤组织可以视为是半无限大的组织。
4) heat conduction equation
热传导方程
1.
Application of discrete regularization method in inverse problem of determining unknown source term in one-dimensional heat conduction equation;
离散正则方法在一维热传导方程寻源反问题中的应用
2.
Then by being combined with constitutive equation of changing physical parameter and nonhomogeneous compound material,it deduces the heat conduction equation of c.
结合变物性非均匀材料本构方程,推导出变物性非均匀复合材料的热传导方程。
3.
In this paper,a fourth-order finite volume compact method for heat conduction equation is studied.
对非齐次热传导方程提出了一种数值求解的有限容积紧致格式,该格式具有空间上的四阶精度,且与有限差分紧致格式相比,更好地保持了问题的物理守恒性。
5) heat equation
热传导方程
1.
A high-order alternating direction implicit method for solving the high dimensional heat equations;
高维热传导方程的高精度交替方向隐式方法
2.
An explicit-implicit algorithm of finite difference domain decomposition for heat equation;
热传导方程的一类有限差分区域分解显-隐算法
3.
Two order parallel domain decomposition finite difference algorithm for heat equation;
热传导方程二阶并行区域分解差分算法
6) Heat conduction equations
热传导方程
1.
A class of meshless methods for heat conduction equations are constructed.
构造求解热传导方程的一类无网格方法,只要选择好每个节点的适当的邻点集合,便可利用节点信息顺利进行计算。
2.
In this paper, we investigate a class of heat conduction equations in a long cylindrical region when the lateral surface and the far end are subjected to a zero temperature.
研究长柱体区域中的热传导方程。
补充资料：热传导方程
| 热传导方程 heat conduction，equation of 最早在研究热的传导问题时得到的方程。它的一维形式是  ，其中u为温度函数， ，k为热传导系数，c是比热容，ρ是密度， 是外热源密度。热传导方程也可以描述其他物理现象，比如扩散过程等等。方程连同初始条件及(或)边界条件的任一种，都可组成初值问题、边值问题或初边值问题。 |
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参考词条