Usage of 'dsolve' function in MATLAB

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Sudharsan Srinivasan
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.

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回答（1 个）

Torsten
Torsten 2017-7-24
"dsolve" can be used for ordinary differential equations (1 independent variable).
Your equation is a partial differential equation (2 independent variables, namely t and y).
You will have to use a numerical solver to get a solution (e.g. "pdepe").
Best wishes
Torsten.

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