Numerical Solution of the 1D Advection-Diffusion Equation Using Standard and Nonstandard Finite Difference Schemes

Table 3

Errors for NSFD scheme.

𝑘	ℎ	cfl	𝐸num	max|𝑢𝑒−𝑢𝑐|	Error at (0.5, 1.0)	Diss. error	Disp. error
0.005	0.02	0.25	8.7288×10^−4	0.0026	0.0026	8.0435×10^−7	5.5063×10^−7
0.01	0.02	0.50	0.0028	0.0085	−0.0084	8.3500×10^−6	5.8963×10^−6
0.01	0.04	0.25	0.0068	0.0194	0.0192	4.8616×10^−5	3.2639×10^−5
0.02	0.04	0.50	0.0010	0.0032	0.0032	8.7192×10^−7	1.0934×10^−6