Research Article

Convergence Analysis of the Preconditioned Group Splitting Methods in Boundary Value Problems

Table 1

Comparison of performances for the original EDG SOR and MEDG SOR.


Unpreconditioned methods
𝑁 EDG SORMEDG SOR
𝑤 𝑘 𝑡 (secs) 𝑒 𝑤 𝑘 𝑡 (secs) 𝑒

34 1.753 49 0 4 . 1 1 𝐸 0 6 1.586 21 0 5 . 0 0 𝐸 0 6
86 1.894 122 0.047 4 . 8 8 𝐸 0 6 1.812 42 0.023 4 . 5 7 𝐸 0 6
118 1.921 166 0.078 4 . 8 9 𝐸 0 6 1.862 50 0.035 2 . 0 8 𝐸 0 6
186 1.943 233 0.187 4 . 7 9 𝐸 0 6 1.914 81 0.064 4 . 3 6 𝐸 0 6
222 1.948 256 0.327 4 . 7 8 𝐸 0 6 1.931 96 0.145 1 . 8 4 𝐸 0 6