Skip to main content

Theory and Modern Applications

Table 2 Example  1 : Case 1.1 (a)(ii): Maximum absolute errors at \(\pmb{\delta = 4}\)

From: High-accuracy quasi-variable mesh method for the system of 1D quasi-linear parabolic partial differential equations based on off-step spline in compression approximations

x

t

Method given in [ 23 ]

Method given in [ 5 ]

Proposed method ( 3.6 )

0.1

0.001

1.11(–16)

3.76(–14)

1.11(–16)

0.005

2.22(–16)

1.43(–13)

9.99(–16)

0.010

6.66(–16)

2.39(–13)

1.75(–16)

0.5

0.001

1.12(–16)

3.20(–14)

1.11(–16)

0.005

3.33(–16)

1.61(–13)

3.33(–16)

0.010

3.33(–16)

3.22(–13)

2.88(–15)

0.9

0.001

1.11(–16)

3.84(–14)

1.11(–16)

0.005

5.55(–16)

1.45(–13)

1.11(–16)

0.010

1.11(–15)

2.41(–13)

2.22(–16)