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

Table 2

Exact, relative, and residual errors of (4.13) and (4.14) at ℏ=−1 and𝜅=1.0000000668.

𝑥	Exact error	Relative error	Residual Error
0.1	4.973784×10^−10	5.556241×10^−10	1.112207×10^−9
0.2	2.426173×10^−11	3.104917×10^−11	5.782878×10^−9
0.3	3.202272×10^−12	4.853278×10^−12	5.440901×10^−7
0.4	1.244961×10^−11	2.341725×10^−11	2.572090×10^−6
0.5	1.030532×10^−10	2.588255×10^−10	8.420042×10^−6
0.6	5.499366×10^−10	2.109517×10^−9	2.202234×10^−5
0.7	2.259143×10^−9	1.872873×10^−8	4.964877×10^−5
0.8	7.674839×10^−9	3.716740×10^−7	1.008886×10^−4
0.9	2.263322×10^−8	1.399558×10^−7	1.900279×10^−4
1.0	5.985469×10^−8	1.987414×10^−7	3.378840×10^−4
⋮	⋮	⋮	⋮
𝜋/2	4.370067×10^−6	0.370067×10^−6	4.598268×10^−3