How can I calculate unknown parameters in a integration with given boundary conditions
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Hi I am trying to calculate unknown parameters in a integration with given boundary conditions. The integration and boundary conditions are shown below:
a11-a23 are the six unknown parameters to be calculated. z1 is a known vector when t=1 (I can give z2, z3... if needed).
The x could be discretized and thus the z1 can be a known vector constant.
I am trying to use integration (int in matlab) to represent z(x,t) for a given x (e.g. x=-1.5:0.1:1.5) and then use fmincon to find a11-a23 to make modulus of (Z(x,t)-z1) the minimum. However, the calculation of the integration is super time-consuming.
syms x t a1 a2 a3 a4 a5 a6
a=[a1 a2 a3 a4 a5 a6];
tt=1;% integration time
Any ideas appreciated. Thank you in advance!