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