second-order linear partial differential equations 二阶线性偏微分方程
non-linear parabolic partial differential equations 非线性抛物型偏微分方程
With the ordinary theory of Heat Exchange in physics this essay visualizes the essence of second-order homogenous linear partial differential equations.
本文利用物理学中常见的热传导理论，形象地阐释了二阶齐次线性偏微分方程的本质。
In the paper, author has studied the inverse problem about a class of quasi-linear partial differential equations of parabolic type by monotone method, proved uniqueness and stability.
本文用单调性方法研究了一个拟线性抛物型方程系教反问题，得到了该反问题的唯一性与稳定性。
Locally implicit finite element method is a satisfactory numerical method to solve non-linear partial differential equations for its unconditional stability and its high rate of convergence.
认为局部隐式有限元法是一种绝对稳定的方法，且具有快速收敛的性质，是求解非线性偏微分方程的一种有效的数值算法。
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