A New Numerical Method of Particular Solutions for Inhomogeneous Burgers’ Equation

Table 2

𝐿_∞, 𝐿₂, and RMS errors, with 𝜏=0.1, 𝑑_𝑥=0.05, and 𝑥 ∈ [0, 1].

t	𝐿∞		𝐿2		RMS
	IMQ	PH	IMQ	PH	IMQ	PH
0.5	1.0490×10^−4	6.2473×10^−3	3.8990×10^−4	1.9479×10^−2	5.5140×10^−5	2.7547×10^−3
1.0	2.6814×10^−4	1.0352×10^−2	1.0921×10^−3	3.2281×10^−2	1.5445×10^−4	4.5652×10^−2
1.5	7.1806×10^−4	1.7210×10^−2	2.8510×10^−3	5.3690×10^−2	4.0320×10^−4	7.5929×10^−3
2.0	1.9485×10^−3	2.8760×10^−2	7.8048×10^−3	8.9872×10^−2	1.1038×10^−3	1.2710×10^−2