BTCS + CTCS Method

dx = 0.02; dt = 0.001

t

L_∞

L₂

CPU Time (s)

0.5

8.4773420757966456E−005

1.8833168906993345E−003

0.23201400000000000

1

8.4773420757966456E−005

2.8160185504662303E−003

0.44402700000000001

1.5

8.4773420757966456E−005

3.0963482287696856E−003

0.57603499999999996

2

8.4773420757966456E−005

3.1650156583819949E−003

0.82005099999999997

Cubic B – spline Collocation; R. C. Mittal; Rachna Bhatia [3]

dx = 0.02; dt = 0.0001

t

L_∞

L₂

CPU Time (s)

0.5

2.3328E−006

1.8612E−006

3.04

1

4.3667E−006

3.4839E−006

4.89

1.5

4.7817E−006

3.8251E−006

5.27

2

4.2706E−006

3.4073E−006

7.53