Explicit Finite Difference Methods for the Delay Pseudoparabolic Equations

Table 4

The numerical results on (0,1)×(1,2).

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|
(0.1,1.1)	−1.641𝐸−02	−1.663𝐸−02	2.192𝐸−04	−1.652𝐸−02	1.101𝐸−04
(0.2,1.2)	−2.667𝐸−02	−2.706𝐸−02	3.961𝐸−04	−2.686𝐸−02	1.990𝐸−04
(0.3,1.3)	−3.204𝐸−02	−3.257𝐸−02	5.251𝐸−04	−3.230𝐸−02	2.637𝐸−04
(0.4,1.4)	−3.357𝐸−02	−3.417𝐸−02	6.032𝐸−04	−3.387𝐸−02	3.029𝐸−04
(0.5,1.5)	−3.211𝐸−02	−3.274𝐸−02	6.289𝐸−04	−3.242𝐸−02	3.158𝐸−04
(0.6,1.6)	−2.834𝐸−02	−2.894𝐸−02	6.024𝐸−04	−2.864𝐸−02	3.024𝐸−04
(0.7,1.7)	−2.283𝐸−02	−2.335𝐸−02	5.244𝐸−04	−2.309𝐸−02	2.633𝐸−04
(0.8,1.8)	−1.603𝐸−02	−1.643𝐸−02	3.966𝐸−04	−1.623𝐸−02	1.991𝐸−04
(0.9,1.9)	−8.328𝐸−03	−8.550𝐸−03	2.211𝐸−04	−8.439𝐸−03	1.110𝐸−04