Transforming linear pde to code equation

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University Glasgow 2022-7-24

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回答： SAI SRUJAN 2023-10-10

sys_pde.png

Hi everyone,

Please how can I transform linear pde to code equation. The equations are in the attached file

BC:

theta(0,t) = theta(d,t) = 0

v(0, t) = v(d,t) = 0

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Torsten 2022-7-24

And what is theta(z,0) and v(z,0) for 0<=z<=d ?

University Glasgow 2022-7-24

编辑：University Glasgow 2022-7-24

theta(z,0) = pi/2

v(z,0) = 0

d = 0.0002

alpha2 = -.1104,

k3 = 7.5*10^(-12)

eta2 = .1361,

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Answer 1

SAI SRUJAN 2023-10-10

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Hi ,

I understand that you are trying to convert linear pde into a code equation.

You can follow the below given example to resolve the issue.

syms f(x,y) x y

eqn1=diff(f,x)

eqn1(x, y) =

eqn2=diff(diff(f,x),x)

eqn2(x, y) =

eqn3=diff(diff(f,x),y)

eqn3(x, y) =

The MATLAB function "diff" can be used to convert partial differential equations into code equations, you can refer to the above example to proceed further. For a comprehensive understanding of the "diff" function in MATLAB, please refer to the provided documentation below.

Differentiate symbolic expression or function - MATLAB diff - MathWorks India