A Meshfree Method for Numerical Solution of Nonhomogeneous Time-Dependent Problems

Table 5

Numerical errors using IMQ (𝑐=0.08) and TPS (𝑚=2) represented at different times, where 𝑑𝑥=0.01, 𝑑𝑡=0.001, and 𝜃=1/2.

𝑡	𝐿∞-error		𝐿2-error		RMS
	IMQ	TPS	IMQ	TPS	IMQ	TPS
1	5.304×10^−4	3.784×10^−4	4.016×10^−4	2.614×10^−4	3.996×10^−4	2.601×10^−4
2	2.078×10^−4	1.479×10^−4	1.567×10^−4	1.022×10^−4	1.559×10^−4	1.017×10^−4
3	4.024×10^−4	2.867×10^−4	3.039×10^−4	1.980×10^−4	3.624×10^−4	1.917×10^−4
4	2.883×10^−4	2.015×10^−4	2.134×10^−4	1.392×10^−4	2.124×10^−4	1.385×10^−4
5	3.545×10^−4	2.522×10^−4	2.671×10^−4	1.742×10^−4	2.658×10^−4	1.734×10^−4