Research Article
Fixed-Term Homotopy
Table 1
Comparison between exact solution (
26) for (
25) and the results of approximations: LPFTH (
33), HPM [
6], and VIM [
6] (A.E. means absolute error).
| | Exact (26) | LPFTH (33) | HPM [6] | VIM [6] | A.E. of LPFTH | A.E. of HPM | A.E. of VIM |
| 1.0 | 0.84147098 | 0.84107061 | 0.83819112 | 0.82124433 | 0.00040038 | 0.00327987 | 0.02022665 | 2.0 | 0.90929743 | 0.90698321 | 0.78090770 | 0.23121704 | 0.00231422 | 0.12838972 | 0.67808039 | 3.0 | | | | | 0.00412939 | 0.33872327 | 3.28619874 | 4.0 | | | | | 0.00245449 | 0.19153985 | 8.04645783 | 5.0 | | | | | 0.00317560 | 0.06513310 | 15.07002201 | 6.0 | | | | | 0.00802417 | 0.16619545 | 23.93104554 | 7.0 | | | | | 0.00610248 | 0.23269103 | 34.84309514 | 8.0 | | | | | 0.00291320 | 0.25036935 | 47.76052743 | 9.0 | | | | | 0.01145728 | 0.02628744 | 62.94340939 | 10.0 | | | | | 0.01036391 | 0.16513644 | 80.13352009 |
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