Usage of 'dsolve' function in MATLAB

Question

Sudharsan Srinivasan 2017-7-24

0
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https://ww2.mathworks.cn/matlabcentral/answers/350000-usage-of-dsolve-function-in-matlab

回答： Torsten 2017-7-24

I am trying to solve a 1D transient (unsteady state) partial differential equation of the form, du/dt = c (d2u/dy2). Here 'd' is actually partial differential because velocity (u) varies with time (t) and spacial coordinate (x) as well. c is a constant.

Initial condition

u(t=0) = 0

Boundary condition for the problem:

u(y=0,t) = - 0.001

u(y=80,t) = 0.001

Is it possible to use 'dsolve' function to get a solution to this transient problem ?

Also I need to plot the velocity (u) with distance (y) and check how the solution evolves over time.