Fick's diffusion in matlab

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Venkatraman Nagarajan 2022-2-17

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编辑： SAI SRUJAN 2024-8-16

Hello,

I want to model Fick's diffusion of nanoparticles in a 2D domain filled with water. Is it possible to do that in matlab?

Regards,

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Torsten 2022-2-17

If you show us the equations you are trying to solve, we might be able to answer your question.

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Answer 1

SAI SRUJAN 2023-11-10

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编辑：SAI SRUJAN 2024-8-16

在 MATLAB Online 中打开

Hi Venkatraman,

I understand that you are trying to model Fick's diffusion of nanoparticles in a 2D domain filled with water.

Typically, the Partial Differential Equations (PDEs) in MATLAB adhere to the following format,

c(x,t,u,du/dx).du/dt=(x^-m).d/dx[(x^-m)f(x,t,u,du/dx)]+s(x,t,u,du/dx)

For a better understanding of the above equation, you can refer to the following documentation.

https://www.mathworks.com/help/matlab/ref/pdepe.html

Modify the given partial differential equation to make an analogy to the format specified above. To be more specific in resolving the issue, you can use the "pdepe"MATLAB function to further solve the issue by setting initial and boundary conditions.

Please refer to the following MATLAB answer, which provides a comprehensive approach to solving a similar 2D partial differential equation.

https://www.mathworks.com/support/search.html/answers/491131.html

For a comprehensive understanding of the"pdepe"function in MATLAB, please refer to the following documentation.

https://www.mathworks.com/help/matlab/math/solve-system-of-pdes.html

I hope this helps.