The Convergence Study of the Homotopy Analysis Method for Solving Nonlinear Volterra-Fredholm Integrodifferential Equations

Table 2

Comparison of relative errors 𝛿(𝑥_𝑗) for Example 1.

	ℏ=−1	ℏ=−0.9	ℏ=−0.74	ℏ=0.4
𝑥1=0.1	2.12𝐸−2	1.46𝐸−3	7.53𝐸−6	93.053
𝑥2=0.2	1.14𝐸−2	9.28𝐸−4	7.14𝐸−5	45.719
𝑥3=0.3	8.05𝐸−3	7.65𝐸−4	2.69𝐸−5	29.642
𝑥4=0.4	6.34𝐸−3	6.98𝐸−4	1.80𝐸−5	21.377
𝑥5=0.5	5.29𝐸−3	6.70𝐸−4	4.92𝐸−5	16.237
𝑥6=0.6	4.55𝐸−3	6.64𝐸−4	6.69𝐸−5	12.660
𝑥7=0.7	3.96𝐸−3	6.72𝐸−4	7.45𝐸−5	9.975
𝑥8=0.8	3.45𝐸−3	6.88𝐸−4	7.59𝐸−5	7.846
𝑥9=0.9	2.96𝐸−3	7.06𝐸−4	7.36𝐸−5	6.080
𝑥10=1.0	2.45𝐸−3	7.23𝐸−4	6.90𝐸−5	4.555