Solving Nonlinear Fourth-Order Boundary Value Problems Using a Numerical Approach: th-Step Block Method

Table 2

Comparison of the exact and computed solution of Example 8.

	Exact solution	Computed solution	Error [10]	Error (-step block method)
0.0	0.00000000000	0.00000000000
0.1	0.01981000000	0.01981000000	0.0004095
0.2	0.07712000000	0.07712000000	0.0025752
0.3	0.16623000000	0.16623000000	0.0066432
0.4	0.27904000000	0.27904000000	0.0115595
0.5	0.40625000000	0.40625000000	0.0156708
0.6	0.53856000000	0.53856000000	0.0173246
0.7	0.66787000000	0.66787000000	0.0154706
0.8	0.78848000000	0.78848000000	0.0102612
0.9	0.89829000000	0.89829000000	0.0036517
1.0	1.00000000000	1.00000000000