Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 7 comparison of numerical and analytical results for Example 7.4

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

	Exact	\(h_{x}=0.25\), \(h_{y}=\pi /4\)		\(h_{x}=0.0625\), \(h_{y}=\pi /32\)
	Exact	Numerical	Error (%)	Numerical	Error (%)
u(0.25,π/4)	0.9079	0.9131	0.57	0.9080	0.01
u(0.50,π/2)	1.6487	1.6593	0.64	1.6489	0.01
u(0.75,3π/4)	1.4969	1.5031	0.41	1.4971	0.01

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