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Theory and Modern Applications

Table 1 The error between the exact and regularized solutions at \(\delta\in\{0.01, 0.001, 0.0001\}\) and \(x \in\{ 0.3, 0.5, 0.8\}\)

From: A filter method for inverse nonlinear sideways heat equation

Err(x)

δ = 10−2

δ = 10−3

δ = 10−4

Err(0.3)

0.002012711736159

0.001389166469924

0.000721673458996

Err(0.5)

0.003399412278741

0.002346838740302

0.001219296599176

Err(0.8)

0.005590567951672

0.003862720100876

0.002007822431434