Research Article
Solution of the Nonlinear Mixed Volterra-Fredholm Integral Equations by Hybrid of Block-Pulse Functions and Bernoulli Polynomials
| | Method in [8] with and | Present method with and | Exact solution |
| 0.0 | 1.00000000000 | 1.00000000000 | 1.00000000000 | 0.0625 | 1.13314845282 | 1.13314845305 | 1.13314845306 | 0.1250 | 1.28402541665 | 1.28402541667 | 1.28402541668 | 0.1875 | 1.45499141433 | 1.45499141461 | 1.45499141461 | 0.2500 | 1.64872127062 | 1.64872127078 | 1.64872127070 | 0.3125 | 1.86824595710 | 1.86824595741 | 1.86824595743 | 0.3750 | 2.11700001648 | 2.11700001668 | 2.11700001661 | 0.4375 | 2.39887529357 | 2.39887529393 | 2.39887529396 | 0.5000 | 2.71828182826 | 2.71828182842 | 2.71828182845 | 0.5625 | 3.08021684845 | 3.08021684898 | 3.08021684891 | 0.6250 | 3.49034295717 | 3.49034295742 | 3.49034295746 | 0.6875 | 3.95507672235 | 3.95507672297 | 3.95507672292 | 0.7500 | 4.48168906993 | 4.48168907038 | 4.48168907033 | 0.8125 | 5.07841903648 | 5.07841903712 | 5.07841903718 | 0.8750 | 5.75460267546 | 5.75460267603 | 5.75460267600 | 0.9375 | 6.52081911946 | 6.52081912035 | 6.52081912033 | 1.0000 | 7.38905609819 | 7.38905609894 | 7.38905609893 |
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