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Table 1 Maximum absolute error of Example 4.1 for \(\delta =0.9\varepsilon\), \(\theta =\frac{1}{2}\)

From: Accurate numerical scheme for singularly perturbed parabolic delay differential equation

\(\varepsilon \; \downarrow \; N=M\rightarrow\) \(2^4\) \(2^5\) \(2^6\) \(2^7\)
Before extrapolation
\(10^{-4}\) 1.4608e−02 8.1605e−03 4.3079e−03 2.2125e−03
\(10^{-6}\) 1.4608e−02 8.1600e−03 4.3077e−03 2.2124e−03
\(10^{-8}\) 1.4608e−02 8.1600e−03 4.3077e−03 2.2124e−03
\(10^{-10}\) 1.4608e−02 8.1600e−03 4.3077e−03 2.2124e−03
\(E^{N,M}\) 1.4608e−02 8.1600e−03 4.3077e−03 2.2124e−03
\(r^{N,M}\) 0.8401 0.9217 0.9613 -
After extrapolation
\(10^{-4}\) 8.1605e−03 2.2125e−03 5.6425e−04 1.4182e−04
\(10^{-6}\) 8.1600e−03 2.2124e−03 5.6422e−04 1.4181e−04
\(10^{-8}\) 8.1600e−03 2.2124e−03 5.6422e−04 1.4181e−04
\(10^{-10}\) 8.1600e−03 2.2124e−03 5.6422e−04 1.4181e−04
\(E^{N,M}\) 8.1605e−03 2.2125e−03 5.6425e−04 1.4182e−04
\(r^{N,M}\) 1.8830 1.9713 1.9923