Research Article

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

Table 7

The absolute errors for various values of 𝑥 and 𝑁 for 𝑡 = 0 . 0 5 and Δ 𝑡 = 1 . 0 E - 0 6 in Example 3.2.

𝑥 𝑁 Absolute error

0.1114.77E-14
213.04E-14
512.97E-14
813.00E-14
1013.00E-14

0.5118.17E-14
217.66E-14
517.64E-14
817.68E-14
1017.68E-14

0.9111.15E-13
212.28E-14
512.25E-14
812.33E-14
1012.31E-14