Application of He's Variational Iteration Method to Solve Semidifferential Equations of 𝑛th Order

Table 2

Numerical solutions and absolute errors of Example 3.2using the original HVIM.

𝑡	𝑦(𝑡)=𝑡^3	𝑦3(𝑡)	|𝑡^3−𝑦3(𝑡)|
0.1	0.001	0.9745626669e−3	0.254373331e−4
0.2	0.008	0.7586906052e−2	0.413093948e−3
0.3	0.027	0.2488146380e−1	0.211853620e−2
0.4	0.064	0.5722919465e−1	0.677080535e−2
0.5	0.125	0.1083125979	0.166874021e−1
0.6	0.216	0.1811260017	0.348739983e−1
0.7	0.343	0.2779910635	0.650089365e−1
0.8	0.512	0.4005870763	0.1114129237
0.9	0.729	0.5499953629	0.1790046371
1.0	1.000	0.7267567745	0.2732432255