Wavelet-Based Homotopy Analysis Method for Nonlinear Matrix System and Its Application in Burgers Equation

Table 2

Difference between the classical PIM and the HAM when 𝜏=0.05 and 𝜏=0.1.

𝑡	𝜏=0.05		𝜏=0.1
	Maximum of absolute error		Maximum of absolute error
	Δ=|Exact−HAM|	Δ=|Exact−PIM|	Δ=|Exact−HAM|	Δ=|Exact−PIM|
0.1	0.006067	0.029001	0.011791	0.049254
0.2	0.015968	0.084366	0.033981	0.137331
0.3	0.036130	0.186369	0.077718	0.283644
0.4	0.031070	0.272813	0.086969	0.436117
0.5	0.007711	0.295470	0.077946	0.463685
0.6	0.008237	0.544970	0.100736	0.710333