Boundary Value Problems

Table 2 Numerical results of different m for Examples 4

From: Block pulse functions for solving fractional Poisson type equations with Dirichlet and Neumann boundary conditions

( x , t )	Exact solution	m = 16	m = 32	m = 64	m = 128
(0,0)	0	0	0	0	0
(1/4,1/4)	0.0039	0.0036	0.0037	0.0039	0.0039
(2/4,2/4)	0.0625	0.0620	0.0623	0.0625	0.0625
(3/4,3/4)	0.3164	0.3159	0.3160	0.0362	0.3164
(1,1)	1.0000	0.9996	0.9998	0.9999	1.0000
(5/4,5/4)	2.4414	2.4406	2.4409	2.4413	2.4414
(6/4,6/4)	5.0625	5.0618	5.0620	5.0624	5.0625
(7/4,7/4)	9.3789	9.3776	9.3780	9.3785	9.3789
(2,2)	16.0000	15.9987	15.9990	15.9996	15.9999

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