Research Article
Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule
Table 1
The values of approximate solution, analytical solution, and the error at the nodes.
| The nodes
| Real value at
| Approx. value at
| The error at
|
| 0 | 1 | 1 | 0 | 0.1 | 1 | 1.00271872 | 0.00271872 | 0.2 | 1 | 1.00331826 | 0.00331826 | 0.3 | 1 | 1.00376994 | 0.00376994 | 0.4 | 1 | 1.00417187 | 0.00417187 | 0.5 | 1 | 1.00455757 | 0.00455757 | 0.6 | 1 | 1.00494416 | 0.00494416 | 0.7 | 1 | 1.00534264 | 0.00534264 | 0.8 | 1 | 1.00576140 | 0.00576140 | 0.9 | 1 | 1.00620761 | 0.00620761 | 1.0 | 1 | 1.00668805 | 0.00668805 | 1.1 | 1 | 1.00720950 | 0.00720950 | 1.2 | 1 | 1.00777907 | 0.00777907 | 1.3 | 1 | 1.00840442 | 0.00840442 | 1.4 | 1 | 1.00909399 | 0.00909399 | 1.5 | 1 | 1.00985722 | 0.00985722 | 1.6 | 1 | 1.01070480 | 0.01070480 | 1.7 | 1 | 1.01164880 | 0.01164880 | 1.8 | 1 | 1.01270300 | 0.01270300 | 1.9 | 1 | 1.01388350 | 0.01388350 | 2.0 | 1 | 1.01520860 | 0.01520860 |
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