Research Article
A Combination of Bernstein and Improved Block-Pulse Functions for Solving a System of Linear Fredholm Integral Equations
Table 4
Absolute error of the approximate solutions obtained by the proposed method and triangular function method [
31] at different values of
.
| | Presented method | TFs method [31] | | | | |
| 0 | 0.0000000e + 00 | 0.0000000e + 00 | 7.19349008e − 03 | 5.99302621e − 02 | 0.1 | 1.8189894e − 13 | 2.7284841e − 14 | 5.47004118e − 03 | 6.00726375e − 02 | 0.2 | 3.5470293e − 13 | 6.1390892e − 14 | 3.74659228e − 03 | 6.02150130e − 02 | 0.3 | 4.0017767e − 13 | 2.7284841e − 14 | 2.02314338e − 03 | 6.03573884e − 02 | 0.4 | 2.8194336e − 13 | 6.8212103e − 15 | 2.99694479e − 04 | 6.04997638e − 02 | 0.5 | 0.0000000e + 00 | 0.0000000e + 00 | 1.42375442e − 03 | 6.06421393e − 02 | 0.6 | 4.0017767e − 13 | 2.1827873e − 13 | 3.14720332e − 03 | 6.07845147e − 02 | 0.7 | 1.4551915e − 13 | 8.7311491e − 13 | 4.87065222e − 03 | 6.09268902e − 02 | 0.8 | 7.6397555e − 13 | 1.9645086e − 12 | 6.59410112e − 03 | 6.10692656e − 02 | 0.9 | 1.4551915e − 13 | 8.7311491e − 13 | 8.3175501e − 03 | 6.1211641e − 02 |
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