Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 6 Comparison of numerical and analytical results for Example 7.3

From: Gradient-descent iterative algorithm for solving a class of linear matrix equations with applications to heat and Poisson equations

y	u(x,y)
	x = 0.3636		x = 0.5454		x = 0.7272		x = 0.9090
	Numer	Exact	Numer	Exact	Numer	Exact	Numer	Exact
0.1904	0.5136	0.5124	0.5588	0.5576	0.4267	0.4257	0.1587	0.1591
0.3808	0.8488	0.8468	0.9236	0.9214	0.7052	0.7035	0.2629	0.2623
0.5712	0.8889	0.8868	0.9673	0.9650	0.7386	0.7368	0.2753	0.2747
0.7616	0.6202	0.6187	0.6749	0.6732	0.5153	0.5140	0.1921	0.1916
0.9520	0.1359	0.1356	0.1479	0.1475	0.1129	0.1126	0.0423	0.0420

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