Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 Comparison of the numerical solution of $u_{2} (x, t)$ with exact solutions ( $t = 0.01$ )

From: The numerical solution of partial differential-algebraic equations

x	$u_{2} (x, t)$	$r_{4, 3} (x, t)$	$\| u_{2} (x, t) - r_{4, 3} (x, t) \|$
−0.5	0.2487531198	0.2487531198	0
−0.4	0.1592019967	0.1592019967	0
−0.3	0.08955112313	0.08955112314	1.10⁻¹¹
−0.2	0.03980049917	0.03980049917	0
−0.1	0.009950124792	0.009950124793	1.10⁻¹²
0.1	0.009950124792	0.009950124793	1.10⁻¹²
0.2	0.03980049917	0.03980049917	0
0.3	0.08955112313	0.08955112314	1.10⁻¹²
0.4	0.1592019967	0.1592019967	0
0.5	0.2487531198	0.2487531198	0

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