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

Table 4

Absolute errors for Example 2 with ℎ=0.05 and several values of time step by present method and TMOL [10].

𝑡	𝑘=0.01	Present method	𝑘=0.005	Present method	𝑘=0.001	Present method	𝑘=0.0005	Present method
	TMOL [10]		TMOL [10]		TMOL [10]		TMOL [10]
0.1	7.0𝐸−04	1.80𝐸−03	1.6𝐸−04	8.66𝐸−04	8.0𝐸−05	1.15𝐸−04	4.0𝐸−05	2.31𝐸−05
0.3	9.0𝐸−04	1.77𝐸−03	1.8𝐸−04	8.44𝐸−04	1.0𝐸−05	9.95𝐸−05	5.0𝐸−05	8.09𝐸−06
0.5	7.0𝐸−04	1.16𝐸−03	1.4𝐸−04	5.48𝐸−04	7.0𝐸−05	5.49𝐸−05	3.5𝐸−05	8.27𝐸−06
0.7	4.5𝐸−04	7.56𝐸−04	9.0𝐸−05	3.51𝐸−04	4.5𝐸−05	2.79𝐸−05	2.4𝐸−05	1.31𝐸−06
0.9	3.0𝐸−04	5.09𝐸−04	6.0𝐸−05	2.33𝐸−04	3.0𝐸−05	1.33𝐸−05	1.4𝐸−05	1.46𝐸−06
1.0	2.4𝐸−04	4.25𝐸−04	4.5𝐸−05	1.93𝐸−04	2.4𝐸−05	8.84𝐸−06	1.2𝐸−05	1.46𝐸−06