Boundary Value Problems

Table 1 Convergence procedure of nine selected points

From: Green’s function for the boundary value problem of the static Klein-Gordon equation stated on a rectangular region and its convergence analysis

( ξ , η )	M = N
( ξ , η )	1	2	3	4	5	6	7
(0.04, 0.05)	0.0106	0.0102	0.0102	0.0101	0.0101	0.0101	0.0101
(0.17, 0.11)	0.0325	0.0316	0.0314	0.0314	0.0314	0.0314	0.0314
(0.24, 0.25)	0.0874	0.0852	0.0849	0.0849	0.0849	0.0849	0.0849
(0.37, 0.31)	0.1521	0.1493	0.1489	0.1488	0.1488	0.1488	0.1488
(0.44, 0.45)	0.3245	0.3205	0.3199	0.3198	0.3198	0.3198	0.3198
(0.59, 0.69)	0.1693	0.1627	0.1618	0.1616	0.1616	0.1616	0.1616
(0.72, 0.78)	0.0913	0.0838	0.0827	0.0825	0.0825	0.0825	0.0825
(0.79, 0.89)	0.0451	0.0362	0.0349	0.0347	0.0347	0.0347	0.0347
(0.92, 0.98)	0.0162	0.0062	0.0048	0.0046	0.0045	0.0045	0.0045

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