New Algorithm of Two-Point Block Method for Solving Boundary Value Problem with Dirichlet and Neumann Boundary Conditions

Table 1

Comparison of the numerical result for solving Problem 1.

2P1BVS				MLAM
TOL	TS	MAXE	Time (sec)	TS	MAXE	Time (sec)
1.00𝑒−2	12	5.34𝑒−5	0.000118	15	7.43𝑒−4	1.719
1.00𝑒−4	15	1.94𝑒−16	0.000130	31	2.42𝑒−4	3.750
1.00𝑒−6	19	1.30𝑒−16	0.000162	63	6.06𝑒−5	8.141
1.00𝑒−8	22	1.80𝑒−16	0.000169	127	1.51𝑒−5	16.875
1.00𝑒−10	25	6.71𝑒−17	0.000203	255	3.78𝑒−6	37.328
				511	9.45𝑒−7	85.016
				1023	2.36𝑒−7	190.12
				2047	6.76𝑒−8	435.23