Homotopy Analysis Method for Second-Order Boundary Value Problems of Integrodifferential Equations

Table 3

Numerical results of (4.18) and (4.19) at ℏ=−1 and 𝜅=1.0000000063.

𝑥	Exact solution	HAM solution	Exact error
0.1	0.1001667500	0.1001667500	5.760464×10^−14
0.2	0.2013360025	0.2013360025	2.119789×10^−13
0.3	0.3045202934	0.3045202934	5.767938×10^−13
0.4	0.4107523258	0.4107523258	8.997664×10^−14
0.5	0.5210953055	0.5210953055	2.401551×10^−13
0.6	0.6366535821	0.6366535821	1.919631×10^−12
0.7	0.7585837018	0.7585837018	3.099931×10^−11
0.8	0.8881059822	0.8881059820	2.174120×10^−10
0.9	1.0265167257	1.0265167244	1.282535×10^−9
1.0	1.1752011936	1.1752011876	6.091291×10^−9