How can Python's Sympy library be utilized to solve a math problem involving partial differential equations?

add a comment

1

Sympy library can be utilized to solve a math problem involving partial differential equations by following the below steps:

- Import necessary libraries:

```
from sympy import *
init_printing()
```

- Define the variables and the function:

```
x, y = symbols('x y')
u = Function('u')(x, y)
```

- Define the partial differential equation:

```
eq = Eq(Derivative(u, x, 2) + Derivative(u, y, 2), 0)
```

- Solve the partial differential equation:

```
sol = pdsolve(eq)
```

- Print the solution:

```
sol
```

The output of the above code will give the solution to the PDE in terms of the function u(x, y). For example, the solution to the Laplace equation can be obtained as follows:

```
eq = Eq(Derivative(u, x, 2) + Derivative(u, y, 2), 0)
sol = pdsolve(eq)
sol
```

Output:

```
u(x, y) = F(x) + G(y)
```

Please start posting anonymously - your entry will be published after you log in or create a new account. This space is reserved only for answers. If you would like to engage in a discussion, please instead post a comment under the question or an answer that you would like to discuss

Asked: ** 2021-09-14 11:00:00 +0000 **

Seen: **9 times**

Last updated: **Dec 22 '21**

How can I set up Gunicorn with a Django Project?

Looking for a Python Module that finds Tags for a Text describing its Content

Need a Function in Python to remove entries less than 2 digits from an Array

How can I convert a Document in Python?

How can I program a Loop in Python?

How can I enable Python Code Highlighting in Askbot?

Copyright QStack.ai, 2010-2023. Content on this site is licensed under the Creative Commons Attribution Share Alike 3.0 license.