A Compact Difference Scheme for a Class of Variable Coefficient Quasilinear Parabolic Equations with Delay

Table 1

Numerical results of (54) when ℎ=1/10, 𝜏=1/100.

(𝑥, 𝑡)	Numerical solution	Exact solution	|𝑢(𝑥𝑖,𝑡𝑘)−𝑢^𝑘𝑖|
(0.5, 0.1)	0.667184	0.667184	8.652𝑒−009
(0.5, 0.2)	0.727837	0.727837	1.623𝑒−008
(0.5, 0.3)	0.788490	0.788490	2.258𝑒−008
(0.5, 0.4)	0.849143	0.849143	2.805𝑒−008
(0.5, 0.5)	0.909796	0.909796	3.288𝑒−008
(0.5, 0.6)	0.970449	0.970449	3.725𝑒−008
(0.5, 0.7)	1.031102	1.031102	4.129𝑒−008
(0.5, 0.8)	1.091755	1.091755	4.509𝑒−008
(0.5, 0.9)	1.152408	1.152408	4.870𝑒−008
(0.5, 1.0)	1.213061	1.213061	5.218𝑒−008