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Theory and Modern Applications

Table 2 With several different β values, we check the convergence rate between the sought solution and its approximation

From: Reconstructing the right-hand side of the Rayleigh–Stokes problem with nonlocal in time condition

β

\(\epsilon _{1}=5*10^{-1}\)

\(\epsilon _{2}=5*10^{-2}\)

\(\epsilon _{2}=5*10^{-3}\)

FT1

FT2

FT1

FT2

FT1

FT2

0.15

0.991598534

0.999785256

0.988619422

0.99664661

0.945522364

0.950280732

0.25

0.986505175

0.998811077

0.969395529

0.985012806

0.875451095

0.844481561

0.35

0.976662494

0.996670773

0.943285395

0.959946702

0.797661112

0.728825374

0.45

0.990847934

0.996606654

0.928212418

0.929867121

0.714487158

0.631034772

0.55

0.951093699

0.983236194

0.871209357

0.856203486

0.651612101

0.576545804

0.65

1.027188737

1.02169837

0.814338829

0.773675873

0.590714893

0.531025157

0.75

0.872317472

0.925135033

0.718266857

0.655089038

0.563014039

0.522375764

0.85

0.795948719

0.836312409

0.617989339

0.550282175

0.531663982

0.506525617

0.95

1.210791125

1.266609738

0.517328419

0.471143634

0.509131415

0.497055801