how to plot of a infinite series in 2D

Question

回答： KSSV 2021-1-20

Hello everyone, I need a help

I have an infinite series:

I need to graph the partial sum of 100 terms as a 2-D surface on x-t-U space.

I couldn't able to do it. Is there anyone who can help me?

Thank you!

Answer 1

KSSV 2021-1-20

Hints:

Define x as an array using linspace after defining min and max value of x.
Define t as an array using linspace after defining min and max value of t.
Get matrices X, T from x, t using the functio meshgrid.
Fix the value of n (may be up to 100 or more). Note that we cannot take infinity.
Initialize the sum as zeros.
Run a loop with index n and write the formula which you have given.
Use surf to plot the data.