NDSolvePDE

Questions
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1

Hi,

Can someone explain to me NDSolvePDE.
At this link, there is an example to solve pde by using MOL. I don’n understant what this part

https://reference.wolfram.com/mathematica/tutorial/NDSolvePDE.html

ListCorrelate[{1, -2, 1}/Subscript[h, n]^2, 
      U[t], {1, 2}, {Subscript[u, n - 1][t]}]

What is the meaning of 1,-2,1 and 1,2 in U

I get {1, -2, 1} this part, they are just coeff. of finite difference..

How can modify the code on that link to solve u_t=u_xx+u_x

Any help will appreciate it..

2

I’m sorry. I don’t understand the question.

What is NDSolvePDE? What is the documentation you are referencing?

3

I am sorry I forgot to add the link, I edited my question..

4

This code is setting up finite differences that are being used. For more information on ListCorrelate, please see the documentation for the function: [ListCorrelate—Wolfram Documentation

{](ListCorrelate—Wolfram Documentation)1,-2,1} represents the coefficients in the finite difference formula.
See the documentation for what the third argument does in ListCorrelate. It changes how correlation is aligned.