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Table. 2.

Numerical convergence of HSOR with various h and k

(a) Problem 1

k
h 1/10 1/100 1/1000 1/10000
1/256 2.9535e-5 2.9576e-6 2.7805e-7 9.9592e-9
1/512 2.9545e-5 2.9726e-6 2.9297e-7 2.4825e-8
1/1024 2.9538e-5 2.9764e-6 2.9670e-7 2.8554e-8
1/2048 2.9512e-5 2.9770e-6 2.9765e-7 2.9488e-8
1/4096 2.9452e-5 2.9751e-6 2.9787e-7 2.9729e-8

(b) Problem 2

k
h 1/10 1/100 1/1000 1/10000
1/256 8.1407e-4 8.3874e-5 8.4129e-6 8.4155e-7
1/512 8.1408e-4 8.3875e-5 8.4130e-6 8.4155e-7
1/1024 8.1409e-4 8.3876e-5 8.4130e-6 8.4155e-7
1/2048 8.1410e-4 8.3876e-5 8.4130e-6 8.4156e-7
1/4096 8.1423e-4 8.3876e-5 8.4130e-6 8.4156e-7
Kyungpook Mathematical Journal 2022;62:699~713 https://doi.org/10.5666/KMJ.2022.62.4.699
© KYUNGPOOK Math. J.