Explicit Finite Difference Methods for the Delay Pseudoparabolic Equations

Table 3

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)	−4.461𝐸−02	−4.465𝐸−02	4.503𝐸−05	−4.463𝐸−02	2.265𝐸−05
(0.2,0.2)	−7.249𝐸−02	−7.264𝐸−02	1.490𝐸−04	−7.257𝐸−02	7.494𝐸−05
(0.3,0.3)	−8.710𝐸−02	−8.738𝐸−02	2.736𝐸−04	−8.724𝐸−02	1.376𝐸−04
(0.4,0.4)	−9.127𝐸−02	−9.166𝐸−02	3.893𝐸−04	−9.146𝐸−02	1.957𝐸−04
(0.5,0.5)	−8.728𝐸−02	−8.776𝐸−02	4.741𝐸−04	−8.752𝐸−02	2.383𝐸−04
(0.6,0.6)	−7.704𝐸−02	−7.755𝐸−02	5.115𝐸−04	−7.730𝐸−02	2.571𝐸−04
(0.7,0.7)	−6.206𝐸−02	−6.255𝐸−02	4.896𝐸−04	−6.231𝐸−02	2.461𝐸−04
(0.8,0.8)	−4.359𝐸−02	−4.399𝐸−02	4.003𝐸−04	−4.379𝐸−02	2.012𝐸−04
(0.9,0.9)	−2.264𝐸−02	−2.287𝐸−02	2.381𝐸−04	−2.276𝐸−02	1.197𝐸−04