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

Table 1

Difference between the classical PIM and the HAM when 𝜏=0.001 and 𝜏=0.005.

𝑡	𝜏=0.001		𝜏=0.005
	Maximum of absolute error		Maximum of absolute error
	Δ=|Exact−HAM|	Δ=|Exact−PIM|	Δ=|Exact−HAM|	Δ=|Exact−PIM|
0.1	0.001825	0.001862	0.001542	0.004271
0.2	0.000725	0.002339	0.001797	0.010446
0.3	0.000979	0.003806	0.002857	0.019874
0.4	0.000873	0.001949	0.003236	0.010663
0.5	0.000818	0.002270	0.001147	0.010949
0.6	0.001011	0.001955	0.001128	0.008018