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

Table 3

Relative errors of numerical method at 𝑢 (0.6, 0.1) for Example 1 with 𝑘=0.4ℎ² and 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	4.94𝐸−04	3.88𝐸−04	1.76𝐸−04	7.08𝐸−05	7.39𝐸−06
0.025	1.23𝐸−04	9.69𝐸−05	4.41𝐸−05	1.77𝐸−05	1.87𝐸−06
0.010	1.97𝐸−05	1.55𝐸−05	7.08𝐸−06	2.86𝐸−06	3.26𝐸−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	6.3𝐸−02	3.9𝐸−03	6.4𝐸−02	6.8𝐸−02	2.8𝐸−04
0.025	1.5𝐸−02	2.4𝐸−04	1.6𝐸−02	1.7𝐸−02	7.1𝐸−05
0.010	4.0𝐸−03	1.5𝐸−05	4.1𝐸−03	4.1𝐸−03	—