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).

𝑡	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	0.14112001	0.13699062	−0.19760326	−3.14507873	0.00412939	0.33872327	3.28619874
4.0	−0.75680250	−0.75925698	−0.94834234	−8.80326033	0.00245449	0.19153985	8.04645783
5.0	−0.95892427	−0.95574867	−1.02405737	−16.02894628	0.00317560	0.06513310	15.07002201
6.0	−0.27941550	−0.27139133	−0.11322005	−24.21046104	0.00802417	0.16619545	23.93104554
7.0	0.65698660	0.66308908	0.88967763	−34.18610854	0.00610248	0.23269103	34.84309514
8.0	0.98935825	0.98644505	1.23972759	−46.77116918	0.00291320	0.25036935	47.76052743
9.0	0.41211849	0.40066121	0.43840592	−62.53129090	0.01145728	0.02628744	62.94340939
10.0	−0.54402111	−0.55438502	−0.70915755	−80.67754120	0.01036391	0.16513644	80.13352009