In this paper, the exact analytic method is suggested to solve variable coefficient differential equations under arbitrary, boundary condition.
本文首次提出精确解析法,用以求解任意变系数微分方程在任意边界条件下的解。
By the discretization of spatial variable in the equation, a third-order differential system of equations containing periodic time-varying coefficient is derived.
采用微分求积法对方程中的空间变量进行离散,得到仅含有时间变量的三阶周期系数微分方程组。
It doesn't need the variational principle and can be applied to solve non-positive or positive definite partial differential equations with arbitrary variable coefficient.
该方法不用一般的变分原理,可适用任意变系数正定和非正定偏微分方程。利用这一方法得到一个新的八节点四边形平面应力单元。
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