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

Table 3 \(E_{\varepsilon ,\mu }^{N,M}\) and \(p^{N,M}_{\varepsilon ,\mu }\) with \(\mu =10^{-4}, \lambda =-1e-03,\) for Example 2

\(\varepsilon \downarrow \)	\( N=32 \)	\( N=64 \)	\( N=128 \)	\( N=256 \)
\(\varepsilon \downarrow \)	\( \Delta t=0.25/2\)	\( \Delta t=0.25/2^{2}\)	\( \Delta t=0.25/2^{3} \)	\( \Delta t=0.25/2^{4} \)
\(10^{-0}\)	\( 1.5539e-04 \)	\( 9.3152e-05 \)	\( 5.0828e-05 \)	\( 2.6527e-05 \)
\(10^{-0}\)	0.73824	0.87396	0.93816	\( 2.6527e-05 \)
\(10^{-2}\)	\( 2.1188e-03 \)	\( 1.1511e-03 \)	\( 5.9904e-04 \)	\( 3.0557e-04 \)
\(10^{-2}\)	0.88023	0.94229	0.97115	\( 3.0557e-04 \)
\(10^{-4}\)	\( 2.6785e-03 \)	\( 1.4493e-03 \)	\( 7.5362e-04 \)	\( 3.8430e-04 \)
\(10^{-4}\)	0.88607	0.94345	0.97160	\( 3.8430e-04 \)
\(10^{-6}\)	\( 2.6752e-03 \)	\( 1.4491e-03 \)	\( 7.5411e-04 \)	\( 3.8487e-04 \)
\(10^{-6}\)	0.88449	0.94231	0.97040	\( 3.8487e-04 \)
\(10^{-8}\)	\( 2.6752e-03 \)	\( 1.4489e-03 \)	\( 7.5355e-04 \)	\( 3.8426e-04 \)
\(10^{-8}\)	0.88469	0.94318	0.97162	\( 3.8426e-04 \)
\(10^{-10}\)	\( 2.6752e-03 \)	\( 1.4489e-03 \)	\( 7.5355e-04 \)	\( 3.8426e-04 \)
\(10^{-10}\)	0.88469	0.94318	0.97162	\( 3.8426e-04 \)
\(10^{-12}\)	\( 2.6752e-03 \)	\( 1.4489e-03 \)	\( 7.5355e-04 \)	\( 3.8426e-04 \)
\(10^{-12}\)	0.88469	0.94318	0.97162	\( 3.8426e-04 \)
\(E_{\varepsilon ,\mu }^{N,M}\)	\( 2.6752e-03 \)	\( 1.4493e-03 \)	\( 5.9904e-04 \)	\( 3.8426e-04 \)
\(p_{\varepsilon ,\mu }^{N,M}\)	0.88429	1.2746	0.64057	-

ISSN: 1756-0500