Cubic B-Spline Collocation Method for One-Dimensional Heat and Advection-Diffusion Equations

Table 3

Absolute error obtained with Δ𝑡=2ℎ at 𝑇=2 for problem 2.

Grid point	ℎ=0.02		ℎ=0.01
	𝐶^1-spline [2]	Present method	𝐶^1-spline [2]	Present method
0.1	7.1744×10^−6	8.2212×10^−6	1.8035×10^−6	2.0556×10^−6
0.2	1.1019×10^−5	2.2566×10^−5	2.7685×10^−6	5.6432×10^−6
0.3	1.6596×10^−5	4.5188×10^−5	4.1679×10^−6	1.1298×10^−5
0.4	2.4579×10^−5	7.7748×10^−5	6.1705×10^−6	1.9435×10^−5
0.5	3.5871×10^−5	1.2011×10^−4	9.0026×10^−6	3.0020×10^−5
0.6	5.1637×10^−5	1.6809×10^−4	1.2955×10^−5	4.2001×10^−5
0.7	7.3208×10^−5	2.1002×10^−4	1.8360×10^−5	5.2464×10^−5
0.8	1.0163×10^−4	2.2264×10^−4	2.5476×10^−5	5.5602×10^−5
0.9	1.3624×10^−4	1.6833×10^−4	3.4134×10^−5	4.2039×10^−5