Research Article

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

Table 4

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 3.4.

𝑥 𝑡 Absolute error

0.100.018.10E-07
0.101.22E-07
1.001.92E-10

0.500.016.49E-08
0.104.75E-07
1.001.54E-11

0.900.011.01E-06
0.101.00E-06
1.001.85E-10