Research Article
A Combination of Bernstein and Improved Block-Pulse Functions for Solving a System of Linear Fredholm Integral Equations
Table 7
The numerical results for Example
4 using our presented method when
.
| | Exact solution | Method [32] | Method [31] | Presented method |
| Results of |
| 0 | 1 | 0.988498 | 1.000077 | 1 | 0.1 | 1.1 | 1.086632 | 1.100097 | 1.1 | 0.2 | 1.2 | 1.184766 | 1.200117 | 1.2 | 0.3 | 1.3 | 1.282899 | 1.300136 | 1.3 | 0.4 | 1.4 | 1.381033 | 1.400156 | 1.4 | 0.5 | 1.5 | 1.479167 | 1.500175 | 1.5 | 0.6 | 1.6 | 1.577301 | 1.600195 | 1.6 | 0.7 | 1.7 | 1.675435 | 1.700214 | 1.7 | 0.8 | 1.8 | 1.773569 | 1.800234 | 1.8 | 0.9 | 1.9 | 1.9871702 | 1.900253 | 1.9 |
| Results of |
| 0 | 1 | 1 | 1.070363 | 1 | 0.1 | 1.01 | 1.006549 | 1.067708 | 1.01 | 0.2 | 1.04 | 1.033099 | 1.086082 | 1.04 | 0.3 | 1.09 | 1.079648 | 1.125486 | 1.09 | 0.4 | 1.16 | 1.146198 | 1.185918 | 1.16 | 0.5 | 1.25 | 1.232747 | 1.267379 | 1.25 | 0.6 | 1.36 | 1.339296 | 1.369869 | 1.36 | 0.7 | 1.49 | 1.465846 | 1.493387 | 1.49 | 0.8 | 1.64 | 1.612695 | 1.637935 | 1.64 | 0.9 | 1.81 | 1.778945 | 1.803511 | 1.81 |
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