Research Article

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

Table 1

Comparison of the th-step block method with Mustafa et al. [10] for solving Example 7.

Exact solutionComputed solutionError [10]Error (-step block method)

0.00.000000000000.00000000000
0.10.095310179800.095310187280.0002954265
0.20.182321556790.182321590670.0008719341
0.30.262364264470.262364342730.0014096072
0.40.336472236620.336472378320.0017352146
0.50.405465108110.405465334200.0017810699
0.60.470003629250.470003949050.0015577013
0.70.530628251060.530628636020.0011349902
0.80.587786664900.587787045580.0006286279
0.90.641853886170.641854152180.0001902154
1.00.693147180560.69314718056