Null Field and Interior Field Methods for Laplace’s Equation in Actually Punctured Disks

Table 2

The leading coefficients by the conservative schemes of the IFM, where 𝑅=2.5.

𝑅1	(𝑀,𝑁)	𝑝0	𝑝1	𝑝1
1	(24,  12)	5.770780163555825  (−1)	−5.770780163555787  (−1)	7.213475204444549  (−1)
0.5	(24,  12)	2.806196474263354  (−1)	−2.358350543983467  (−1)	2.834834114319612  (−1)
0.1	(24, 8)	1.313991926276972 (−1)	−1.053200366713576 (−1)	1.254266057498590 (−1)
0.1	(24, 7)	1.313991926276972 (−1)	−1.053200366713574 (−1)	1.254266057498546 (−1)
0.1	(24,  6)	1.313991926276971  (−1)	−1.053200366713574  (−1)	1.254266057498543  (−1)
0.1	(24, 5)	1.313991926276971 (−1)	−1.053200366713575 (−1)	1.254266057498583 (−1)
0.1	(24, 4)	1.313991926276965 (−1)	−1.053200366713555 (−1)	1.254266057489581 (−1)
10^−2	(24, 6)	7.480685008050482 (−2)	−5.984662000415889 (−2)	7.124623469104319 (−2)
10^−2	(24, 5)	7.480685008050478 (−2)	−5.984662000415886 (−2)	7.124623469102030 (−2)
10^−2	(24,  4)	7.480685008050478  (−2)	−5.984662000415891  (−2)	7.124623469102347  (−2)
10^−2	(24, 3)	7.480685008050478 (−2)	−5.984662000415888 (−2)	7.124623469085235 (−2)
10^−2	(24, 2)	7.480685008030524 (−2)	−5.984662000262044 (−2)	7.124614851570256 (−2)
10^−3	(24, 5)	5.228968294193471 (−2)	−4.183175432150129 (−2)	4.979970933244982 (−2)
10^−3	(24, 4)	5.228968294193472  (−2)	−4.183175432150129 (−2)	4.979970933242725 (−2)
10^−3	(24,  3)	5.228968294193472  (−2)	−4.183175432150130  (−2)	4.979970933271582  (−2)
10^−3	(24, 2)	5.228968294193472 (−2)	−4.183175432150118 (−2)	4.979970873003448 (−2)
10^−3	(24, 1)	5.228968256993316 (−2)	−4.183174605594654 (−2)
10^−4	(24, 5)	4.019180446935835 (−2)	−3.215344363673135 (−2)	3.827790910656165 (−2)
10^−4	(24, 4)	4.019180446935836 (−2)	−3.215344363673130 (−2)	3.827790910851808 (−2)
10^−4	(24,  3)	4.019180446935834  (−2)	−3.215344363673132  (−2)	3.827790910677455  (−2)
10^−4	(24, 2)	4.019180446935835  (−2)	−3.215344363673135 (−2)	3.827790909840129 (−2)
10^−4	(24, 1)	4.019180446716058 (−2)	−3.215344357372844 (−2)