Research Article
Small Modification on Modified Euler Method for Solving Initial Value Problems
Table 1
Numerical solutions for Example
1.
| | MEM | IMEM | Proposed method | | | | | | |
| 0.1 | 0.82001131046773 | 0.81928832084167 | 0.81801131046773 | 0.81859112179841 | 0.81843131046773 | 0.81863210469499 | 0.2 | 0.67240671286437 | 0.67258711229768 | 0.66937590953531 | 0.67351312543943 | 0.66999940455773 | 0.67099939730742 | 0.3 | 0.55226758310090 | 0.55175842189547 | 0.54844893511237 | 0.55221383088076 | 0.54979042638338 | 0.54997783645275 | 0.4 | 0.45484034849100 | 0.45387360455514 | 0.45062697718435 | 0.45878790938801 | 0.45199787911421 | 0.45228465554568 | 0.5 | 0.37638638124997 | 0.37513322005825 | 0.37207306330710 | 0.38252126385303 | 0.37333852384920 | 0.37368768837579 |
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