Open wheelchairscienceguy opened 1 week ago
This is a really excellent idea @wheelchairscienceguy, thank you for suggesting this! One small adaptation to your idea is that I will keep the original code, as this relates to what was covered in the first-year course (defining functions) and then introduce the lambda function as a more concise alternative.
Thanks again, I'll incorporate now :)
The website has been updated with a lambda function example. Thanks @wheelchairscienceguy !
Add some example problems using the lambda function: https://www.w3schools.com/python/python_lambda.asp
https://en.wikipedia.org/wiki/Anonymous_function
In the finite difference method section, the question about calculating the Laplacian of some function, you can define the function as a Lambda function:
import math
def integrand(x,y): return 6math.cos(x) + 7math.sin(y)
def laplacian(f_xy, x, y, h): return (f_xy(x+h,y) + f_xy(x-h,y) + f_xy(x,y+h) + f_xy(x,y-h) - 4*(f_xy(x,y))) / (h**2)
REPLACE IT WITH THE FOLLOWING FOR A NICER LOOKING FUNCTION:
import numpy as np
f_xy = lambda x, y: 6np.cos(x) + 7np.sin(y)
laplacian = lambda f_xy, x, y, h: (f_xy(x+h,y) + f_xy(x-h,y) + f_xy(x,y+h) + f_xy(x,y-h) - 4*(f_xy(x,y))) / (h**2)