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

Table 7

Comparison of the numerical result for solving Troesch’s Problem with 𝜆=1.0.

𝑥	Solution			Error
	Exact	FDM	2P1BVS	FDM	2P1BVS
0.1	0.0846612565	0.0846612556	0.0846612565	9.30𝑒−10	0.00
0.2	0.1701713582	0.1701713565	0.1701713582	1.70𝑒−9	0.00
0.3	0.2573939080	0.2573939059	0.2573939080	2.18𝑒−9	1.90𝑒−13
0.4	0.3472228551	0.3472228528	0.3472228551	2.23𝑒−9	1.48𝑒−11
0.5	0.4405998351	0.4405998333	0.4405998347	1.80𝑒−9	4.46𝑒−10
0.6	0.5385343980	0.5385343971	0.5385343906	9.10𝑒−10	7.37𝑒−09
0.7	0.6421286091	0.6421286094	0.6421285278	3.02𝑒−10	8.13𝑒−08
0.8	0.7526080939	0.7526080954	0.7526080937	1.47𝑒−9	2.43𝑒−10
0.9	0.8713625196	0.8713625215	0.8713625152	1.87𝑒−9	4.42𝑒−09