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Table 3 Values choosing \(u^{1}(t)=t^{2}+1\) and \(v^{1}(t)=\cos t \exp (-t)\)

From: Iterative algorithms for solutions of Hammerstein equations in real Banach spaces

 

Algorithm (1.9)

Algorithm (3.9)

 

Time = 38.168 s

Time = 33.342 s

n

\(\|u_{n+1}\|\)

\(\|v_{n+1}\|\)

\(\|u_{n+1}\|\)

\(\|v_{n+1}\|\)

1

0.2644

0.4005

0.2273

0.1152

2

0.2411

0.4674

0.0535

0.3433

3

0.3784

0.3742

0.3407

0.2467

4

0.4156

0.4267

0.4038

0.3151

5

0.4518

0.3939

0.5258

0.3004

6

0.5447

0.4664

0.5794

0.3319

7

0.5232

0.3954

0.6505

0.3273

8

0.6153

0.4914

0.6800

0.3405

9

0.5780

0.3874

0.7354

0.3504

10

0.5918

0.3074

0.8007

0.2724