How to write in MATLAB the following PDE?

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))

[Pravarthana P]

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]

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

Answer 1

[Pravarthana P]

To my understanding you are trying to solve a first order PDE. The following documentations might be helpful for the same:

Solving Partial Differential Equations - MATLAB & Simulink (mathworks.com)

Solve systems of PDE

PDE with initial conditions