Explicit Finite Difference Methods for the Delay Pseudoparabolic Equations

Table 1

The numerical results on (0,1)×(0,1).

Nodes; (𝑥,𝑡)	Exact solution	Numerical solution; ℎ=0.02; 𝜏=0.02	Pointwise error; |𝑦−𝑢|	Numerical solution; ℎ=0.02; 𝜏=0.01	Pointwise error; |𝑦−𝑢|
(0.1,0.1)	−1.570𝐸−02	−1.571𝐸−02	1.602𝐸−05	−1.571𝐸−02	8.060𝐸−06
(0.2,0.2)	−2.759𝐸−02	−2.765𝐸−02	5.784𝐸−05	−2.762𝐸−02	2.908𝐸−05
(0.3,0.3)	−3.558𝐸−02	−3.570𝐸−02	1.150𝐸−04	−3.564𝐸−02	5.779𝐸−05
(0.4,0.4)	−3.976𝐸−02	−3.994𝐸−02	1.760𝐸−04	−3.985𝐸−02	8.847𝐸−05
(0.5,0.5)	−4.033𝐸−02	−4.056𝐸−02	2.293𝐸−04	−4.045𝐸−02	1.152𝐸−04
(0.6,0.6)	−3.757𝐸−02	−3.783𝐸−02	2.633𝐸−04	−3.770𝐸−02	1.324𝐸−04
(0.7,0.7)	−3.180𝐸−02	−3.207𝐸−02	2.673𝐸−04	−3.194𝐸−02	1.343𝐸−04
(0.8,0.8)	−2.338𝐸−02	−2.362𝐸−02	2.308𝐸−04	−2.350𝐸−02	1.160𝐸−04
(0.9,0.9)	−1.267𝐸−02	−1.281𝐸−02	1.445𝐸−04	−1.274𝐸−02	7.261𝐸−05