Uniformly convergent extended cubic B-spline collocation method for two parameters singularly perturbed time-delayed convection-diffusion problems

Table 5 \(E^{N,M}_{\varepsilon ,\mu }\) and \(p^{N,M}_{\varepsilon ,\mu }\) with \( \lambda =-1e-03, \) for Example 2

\( \varepsilon \downarrow \mu \rightarrow \)	\( N=32 \)	\( N=64 \)	\( N=128 \)	\( N=256 \)
	\( \Delta t=0.125/2\)	\( \Delta t=0.125/2^{2}\)	\( \Delta t=0.125/2^{3} \)	\( \Delta t=0.125/2^{4} \)
	\(10^{-4}\)	\(10^{-6}\)	\(10^{-8}\)	\(10^{-10}\)
\(10^{-0}\)	\( 7.0128e-05 \)	\( 4.4746e-05 \)	\( 2.4968e-05 \)	\( 1.3154e-05 \)
\(10^{-0}\)	0.64823	0.84168	0.92458	\( 1.3154e-05 \)
\(10^{-2}\)	\( 1.1458e-03 \)	\( 5.9706e-04 \)	\( 3.0501e-04 \)	\( 1.5414e-04 \)
\(10^{-2}\)	0.94041	0.96902	0.98462	\( 1.5414e-04 \)
\(10^{-4}\)	\( 1.4510e-03 \)	\( 7.5362e-04 \)	\( 3.8417e-04 \)	\( 1.9399e-04 \)
\(10^{-4}\)	0.94514	0.97209	0.98576	\( 1.9399e-04 \)
\(10^{-6}\)	\( 1.4434e-03 \)	\( 7.5568e-04 \)	\( 3.8530e-04 \)	\( 1.9454e-04 \)
\(10^{-6}\)	0.93362	0.97179	0.98592	\( 1.9454e-04 \)
\(10^{-8}\)	\( 1.4434e-03 \)	\( 7.5566e-04 \)	\( 3.8531e-04 \)	\( 1.9454e-04 \)
\(10^{-8}\)	0.93366	0.97172	0.98595	\( 1.9454e-04 \)
\(10^{-10}\)	\( 1.4434e-03 \)	\( 7.5566e-04 \)	\( 3.8531e-04 \)	\( 1.9454e-04 \)
\(10^{-10}\)	0.93366	0.97172	0.98595	\( 1.9454e-04 \)
\(10^{-12}\)	\( 1.4434e-03 \)	\( 7.5566e-04 \)	\( 3.8531e-04 \)	\( 1.9454e-04 \)
\(10^{-12}\)	0.93366	0.97172	0.98595	\( 1.9454e-04 \)
\(E_{\varepsilon ,\mu }^{N,M}\)	\( 1.1458e-03 \)	\( 7.5568e-04 \)	\( 3.8531e-04 \)	\( 1.9454e-04 \)
\(p_{\varepsilon ,\mu }^{N,M}\)	0.93366	0.97172	0.98595	-

ISSN: 1756-0500