How to write in MATLAB the following PDE?

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S Priya
S Priya am 22 Jan. 2022
Bearbeitet: Pravarthana P am 25 Jan. 2022
where u=deformation
K=stifness
F=force
E= Mod of elasticity
for i=1:8
(del(Ki)/del(Ei)) * (ui) +(del(ui)/del(Ei)) * Ki=del(Fi)/del(Ei)
WHERE I need to find the value of (del(ui)/del(Ei))
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Pravarthana P
Pravarthana P am 25 Jan. 2022
Hi S Priya,
Could you brief even more about the type of PDE you are expecting to use, whether it is higher order PDE or PDE you are trying to apply on different surfaces. What is the significance of variable 'i' in this equation. And let us know about the MATLAB version you are using.
S Priya
S Priya am 25 Jan. 2022
It is a 1st order PDE. The stiffness matrix Kij is a function of Ei, "i" is the number of nodes( Here it is 8) . I am using MATLAB R2021a version

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Pravarthana P
Pravarthana P am 25 Jan. 2022
Bearbeitet: Pravarthana P am 25 Jan. 2022
To my understanding you are trying to solve a first order PDE. The following documentations might be helpful for the same:

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