Chebyshev Wavelet Method for Numerical Solution of Fredholm Integral Equations of the First Kind

Table 2

Absolute error of exact and approximated solution of Example 6.2.

$\mathrm{\hspace{0.17em}\hspace{0.17em}}\mathrm{\hspace{0.17em}\hspace{0.17em}}x$	$|\tilde{u}(x)-u_{ex}(x)|$	$|\tilde{u}(x)-u_{ex}(x)|$	$|\tilde{u}(x)-u_{ex}(x)|$
	$k=2,M=3,{\varepsilon }_0=10^{-5}$	$k=3,M=4,{\varepsilon }_0=10^{-4}$	Haar wavelets [14]
$0.0$	$0.488296e-3$	$0.146932e-4$	$0.785334e-2$
$0.1$	$0.937569e-3$	$0.150830e-4$	$0.173943e-2$
$0.2$	$0.265918e-4$	$0.173487e-4$	$0.569956e-2$
$0.3$	$0.108134e-2$	$0.186327e-4$	$0.635611e-2$
$0.4$	$0.110062e-2$	$0.157720e-4$	$0.231400e-2$
$0.5$	$0.125395e-3$	$0.658547e-5$	$0.129479e-1$
$0.6$	$0.211862e-2$	$0.130256e-5$	$0.286785e-2$
$0.7$	$0.226888e-2$	$0.232601e-5$	$0.939698e-2$
$0.8$	$0.728295e-3$	$0.152448e-4$	$0.104794e-1$
$0.9$	$0.383486e-3$	$0.983848e-5$	$0.381514e-2$
$1.0$	$0.127610e-2$	$0.104492e-4$	$0.498723e-2$