Research Article
Small Modification on Modified Euler Method for Solving Initial Value Problems
Table 3
Numerical solutions for Example
2.
| | MEM | IMEM | Proposed method | | | | | | |
| 0.1 | 1.110000 | 1.1102531250 | 1.11025000 | 1.11032043066406 | 1.11027750 | 1.11032396426539 | 0.2 | 1.23105000 | 1.24260943828613 | 1.2426288125 | 1.24276494414229 | 1.24269248950625 | 1.24277310856905 | 0.3 | 1.386810250 | 1.39939257206320 | 1.39946549501563 | 1.39966082285240 | 1.39957554807024 | 1.39967490706942 | 0.4 | 1.56892532625 | 1.58317043400224 | 1.58333423836603 | 1.58358016132462 | 1.58350261283220 | 1.58365746421514 | 0.5 | 1.78066248550625 | 1.79678088708052 | 1.79708016695405 | 1.79736561854275 | 1.79732080915464 | 1.79745435154903 |
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