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Table 7 Computed maximum point-wise error for Example(2) for different values of \(\varepsilon _{1}\) and \(\varepsilon _{2}\) by taking \(N=128\) and \(M=32\)

From: Gaussian quadrature method with exponential fitting factor for two-parameter singularly perturbed parabolic problem

\(\varepsilon _{2}\downarrow \varepsilon _{1}\rightarrow\)

\(10^{-4}\)

\(10^{-6}\)

\(10^{-8}\)

\(10^{-10}\)

\(10^{-12}\)

\(10^{-4}\)

\(3.0595e-05\)

\(3.5016e-05\)

\(3.4993e-05\)

\(3.4993e-05\)

\(3.4993e-05\)

\(10^{-6}\)

\(3.3760e-05\)

\(5.1610e-05\)

\(5.2373e-05\)

\(5.2379e-05\)

\(5.2379e-05\)

\(10^{-8}\)

\(3.3791e-05\)

\(5.1772e-05\)

\(5.2543e-05\)

\(5.2551e-05\)

\(5.2551e-05\)

\(10^{-10}\)

\(3.3791e-05\)

\(5.1773e-05\)

\(5.2545e-05\)

\(5.2553e-05\)

\(5.2553e-05\)

\(10^{-12}\)

\(3.3791e-05\)

\(5.1773e-05\)

\(5.2545e-05\)

\(5.2553e-05\)

\(5.2553e-05\)