我有一个查询关于变量分离方法的实用性。通常我们分解变量w.r。t组件对应于不同的方面,这种方法用于解决微分方程分析。实际使用时,我们常常为已经提供了解决方案的模型输出形式。有可能分解他们沿着维度?例如我可以写带状速度U (x, y, z, t) =紫外线(z) *呃(x, y, t)这分解是唯一的吗?我笨,因为它似乎是一个矩阵乘法。我想知道将矩阵的形式。有可能获得数据变量使用的紫外线和呃软件工具吗?* *编辑:* *分解的一个例子是提供[这][1]在页码7方程(2.6)。 I wonder if it is possible to obtain the decomposed RHS values practically from a variable. Moreover I often see a PDE associated with the decomposition which is absolutely logical. The equation is solved analytically by substituting the decomposed variables and different software tools are able to plot the analytical solution. The situation is little different in the study attached herewith. I wonder how to obtain the decomposed values if I am not getting any way to solve it analytically. [1]: https://www.researchgate.net/publication/268301695_Reconsidering_the_role_of_Rossby_waves_in_the_Madden-Julian_Oscillation