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

Table 6

Comparison of the numerical result for solving Troesch’s Problem with 𝜆=0.5.

𝑥	Solution			Error
	Exact	FDM	2P1BVS	FDM	2P1BVS
0.1	0.0959443493	0.0959443492	0.0959443493	5.35𝑒−11	0.00
0.2	0.1921287477	0.1921287476	0.1921287477	1.04𝑒−10	0.00
0.3	0.2887944009	0.2887944007	0.2887944009	1.47𝑒−10	0.00
0.4	0.3861848464	0.3861848462	0.3861848464	1.80𝑒−10	9.99𝑒−16
0.5	0.4845471647	0.4845471645	0.4845471647	1.99𝑒−10	3.60𝑒−14
0.6	0.5841332484	0.5841332482	0.5841332484	2.02𝑒−10	5.61𝑒−13
0.7	0.6852011483	0.6852011481	0.6852011483	1.86𝑒−10	5.79𝑒−12
0.8	0.7880165227	0.7880165225	0.7880165227	1.49𝑒−10	4.41𝑒−11
0.9	0.8928542161	0.8928542161	0.8928542158	9.12𝑒−11	2.66𝑒−10