Research Article

Solution of the Porous Media Equation by a Compact Finite Difference Method

Table 2

The absolute errors for various values of 𝑥 and 𝑡 for 𝑁 = 1 1 , = 0 . 1 , Δ 𝑡 = 0 . 0 0 0 1 in Example 3.2.

𝑥 𝑡 Absolute error

0.100.011.09E-14
0.101.20E-14
1.003.70E-14

0.500.011.28E-15
0.102.32E-15
1.004.80E-15

0.900.011.35E-14
0.101.74E-14
1.004.86E-14