$t_k$

Exact solution $x\left(t\right)=t^2$

Approximation solution $x_n\left(t\right)$

$\text{Error}=\left|x\left(t\right)-x_n\left(t\right)\right|$

0.0

0

0

0

0.1

0.1000

0.008621129726629

0.001378870273371

0.2

0.0400

0.037689907370590

0.00231009269410

0.3

0.0900

0.086539405801948

0.003460594198052

0.4

0.1600

0.154740697067752

0.005259302932248

0.5

0.2500

0.241931774005283

0.008068225994717

0.6

0.3600

0.347860012395293

0.012139987604707

0.7

0.4900

0.472440448226374

0.01755955177362

0.8

0.6400

0.615814946797499

0.024185053202501

0.9

0.8100

0.77840884576597

0.031591154203403

1

1.0000

0.960983804641099

0.039016195358901