Research Article

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

Table 1

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 3.1.

𝑥 𝑡 Absolute error

0.100.011.07E-15
0.101.08E-14
1.006.51E-14

0.500.011.11E-15
0.101.10E-14
1.001.32E-13

0.900.011.33E-15
0.103.11E-15
1.003.51E-14