1
00:00:00,460 --> 00:00:03,610
The last thing we need to do is to see our results.

2
00:00:03,610 --> 00:00:08,860
Just for this method, I will just I want to write the name of it.

3
00:00:08,950 --> 00:00:13,600
It's basically this is it's name limited memory.

4
00:00:14,290 --> 00:00:15,430
Limited memory.

5
00:00:15,820 --> 00:00:22,270
Broyden-fletcher-goldfarb-shanno this the the name.

6
00:00:22,450 --> 00:00:25,030
So this is the method and.

7
00:00:26,400 --> 00:00:26,910
Yeah.

8
00:00:27,210 --> 00:00:30,350
So the one thing I want is, um.

9
00:00:31,290 --> 00:00:35,040
The last thing is see the results, because there are many ways to see it.

10
00:00:35,040 --> 00:00:46,860
But I will just use the simplest way, which is we just write d d e dot save plot.

11
00:00:48,770 --> 00:00:50,120
A lost history.

12
00:00:52,570 --> 00:00:54,820
And trains that.

13
00:01:00,350 --> 00:01:04,660
It is safe equals true.

14
00:01:04,670 --> 00:01:05,090
Basically.

15
00:01:05,090 --> 00:01:07,220
We'll put it in your file.

16
00:01:07,990 --> 00:01:08,520
ISO.

17
00:01:09,220 --> 00:01:10,270
ISO plot.

18
00:01:10,310 --> 00:01:14,020
It's our results equals also true.

19
00:01:20,400 --> 00:01:25,830
Shift enter so we can see how the loss is reducing.

20
00:01:25,830 --> 00:01:30,030
And of course, also the train loss and the test loss.

21
00:01:31,140 --> 00:01:36,240
So test means that testing points is like validation in deep neural network.

22
00:01:36,450 --> 00:01:37,440
It is, actually.

23
00:01:37,680 --> 00:01:43,830
So basically here what you can see is that first is the sine wave.

24
00:01:43,860 --> 00:01:52,680
This is the input of our like our like the computation.

25
00:01:52,830 --> 00:01:54,630
And this is the initial condition.

26
00:01:54,630 --> 00:01:59,820
And then we have the boundary condition of this is two and.

27
00:02:01,080 --> 00:02:04,920
This point will be two and this point will be zero.

28
00:02:04,950 --> 00:02:06,300
This is the boundary condition.

29
00:02:06,300 --> 00:02:15,520
And as time goes so as the time goes, the actual computation of the U.

30
00:02:15,540 --> 00:02:17,820
Values is going to converge.

31
00:02:17,820 --> 00:02:21,390
So this is basically the results.

32
00:02:21,390 --> 00:02:23,640
And it's actually makes sense because.

33
00:02:24,470 --> 00:02:31,850
The things will have to diffuse towards the boundary condition that we define.
