Numerical Method Using Cubic Trigonometric B-Spline Technique for Nonclassical Diffusion Problems

Table 6

Relative errors of numerical method at 𝑢 (0.6, 1.0) for Example 2 with various values of space step.

ℎ	Present method; (𝑘=5ℎ^2)	Present method; (𝑘=4ℎ^2)	Present method; (𝑘=2ℎ^2)	Present method; (𝑘=ℎ^2)	Present method; (𝑘=0.4ℎ^2)
0.05	5.28𝐸−04	4.15𝐸−04	1.89𝐸−04	7.81𝐸−05	8.84𝐸−06
0.025	1.14𝐸−04	8.96𝐸−05	4.74𝐸−05	1.91𝐸−05	2.21𝐸−06
0.010	2.11𝐸−05	1.66𝐸−05	7.59𝐸−06	3.06𝐸−06	3.53𝐸−07
ℎ	BTCS [8]; (𝑘=0.4ℎ^2)	Crandall [8]; (𝑘=0.4ℎ^2)	FTCS [8]; (𝑘=0.4ℎ^2)	Dufort-Frankel [8]; (𝑘=0.4ℎ^2)	TMOL [10]; (𝑘=0.4ℎ^2)
0.05	7.3𝐸−02	3.8𝐸−03	7.5𝐸−02	7.8𝐸−02	1.6𝐸−03
0.025	1.8𝐸−02	2.1𝐸−04	1.9𝐸−02	1.9𝐸−02	4.0𝐸−04
0.010	4.4𝐸−03	1.2𝐸−05	4.0𝐸−03	3.9𝐸−03	—