Maximum error linked with space step sizes at final time 1000s keeping $\Delta x=\Delta y=\Delta t$

Space Step Sizes

$Erro{r}_1$

$Erro{r}_1/\Delta x^2$

$Erro{r}_1/\Delta x^4$

0.25

1.322e−6

2.115e−5

1.579e−5

0.20

8.088e−7

2.022e−5

1.492e−5

0.10

1.736e−7

1.736e−5

1.389e−5

0.0625

6.265e−7

1.604e−5

1.375e−5