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

Table 1

𝐿_∞, 𝐿₂, and RMS errors, with 𝜏=0.1, 𝑑_𝑥=𝜋/10, and 𝑥∈ [0, 2𝜋].

𝑡	𝐿∞		𝐿2		RMS
	IMQ	PH	IMQ	PH	IMQ	PH
0.5	9.6592×10^−6	7.7103×10^−3	1.3706×10^−5	8.2398×10^−3	3.0648×10^−6	1.8425×10^−3
1.0	9.9640×10^−6	1.2424×10^−2	1.5692×10^−5	1.7040×10^−2	3.5088×10^−6	3.8102×10^−3
1.5	9.9985×10^−6	1.5138×10^−2	1.4249×10^−5	2.3674×10^−2	3.1863×10^−6	5.2937×10^−3
2.0	1.7471×10^−6	2.7952×10^−2	2.7217×10^−5	4.0602×10^−2	6.0859×10^−6	9.0788×10^−3