A New High-Order Approximation for the Solution of Two-Space-Dimensional Quasilinear Hyperbolic Equations

Table 7

Order of convergence.

Example	Parameters	Order of the method
01	𝛼=10, 𝛽=5, 𝜂=0.5, 𝛾=1 at 𝑡=5	4.00
	𝛼=20, 𝛽=10, 𝜂=1, 𝛾=1 at 𝑡=5	4.02
	𝛼=40, 𝛽=4, 𝜂=10, 𝛾=20 at 𝑡=5	3.99
	𝛼=50, 𝛽=5, 𝜂=0.25, 𝛾=0.75 at 𝑡=5	3.99
	𝛼=10, 𝛽=0, 𝜂=5, 𝛾=5 at 𝑡=5	4.00
02	at 𝑡=1	4.00
	at 𝑡=2	3.99
03	𝛾=1 at 𝑡=2	3.99
	𝛾=2 at 𝑡=2	3.99
	𝛾=3 at 𝑡=2	4.00
04	𝑡=1	3.99
05	𝛾=1 at 𝑡=1	4.00
	𝛾=2 at 𝑡=1	3.99
	𝛾=5 at 𝑡=1	4.01
06	𝛾=1 at 𝑡=1	4.00
	𝛾=2 at 𝑡=1	4.01
	γ=5 at 𝑡=1	4.00