calculate_divergence
Calculate the divergence of a vector field in a given coordinate system using symbolic algebra for mathematical analysis and solutions.
Instructions
Calculates the divergence of a vector field using SymPy's divergence function.
Args:
vector_field_key: The key of the vector field expression.
Example:
# First create a coordinate system
create_coordinate_system("R")
# Create a vector field F = (x, y, z)
vector_field = create_vector_field("R", "R_x", "R_y", "R_z")
# Calculate divergence
div_result = calculate_divergence(vector_field)
# Returns 3
Returns:
A key for the divergence expression.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| vector_field_key | Yes |
Input Schema (JSON Schema)
{
"properties": {
"vector_field_key": {
"title": "Vector Field Key",
"type": "string"
}
},
"required": [
"vector_field_key"
],
"title": "calculate_divergenceArguments",
"type": "object"
}