On Spectral Homotopy Analysis Method for Solving Linear Volterra and Fredholm Integrodifferential Equations

Table 3

Numerical result of Example 5.2 against the HAM and the SHAM solutions whit ℎ=−0.4.

𝑥	SHAM			Numerical	HAM
	8th order	14th order	16th order		8th order	23th order
−0.8	0.28818730	0.28800272	0.28800000	0.28800000	0.28786022	0.28800097
−0.6	0.38426358	0.38400174	0.38400000	0.38400000	0.38548670	0.3840003
−0.4	0.33618044	0.33599640	0.33600000	0.33600000	0.34009630	0.33600088
−0.2	0.19199056	0.19198946	0.19200000	0.19200000	0.19905046	0.1920014
0.0	−0.00024441	−0.00000165	0.00000000	0.00000000	−0.00041662	0.00000166
0.2	−0.19249771	−0.19202092	−0.19200000	−0.19200000	−0.18206491	−0.19209884
0.4	−0.33673440	−0.33602266	−0.33600000	−0.33600000	−0.32825115	−0.33600119
0.6	−0.36072793	−0.38401942	−0.38400000	−0.38400000	−0.38049994	−0.38400153
0.8	−0.28863110	−0.28801009	−0.28800000	−0.28800000	−0.28821582	−0.28800159