Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 5 Order of convergence $: h_{1} = \frac{1}{32}$ , $h_{2} = \frac{1}{64}$

From: A fourth-order finite difference method based on spline in tension approximation for the solution of one-space dimensional second-order quasi-linear hyperbolic equations

Example	Parameters	Order of the method
01	γ = 1 at t = 5	4.002
01	γ = 2 at t = 5	3.999
02	α = 6, β = 4, η = 0.5, γ = 1 at t = 2	3.998
	α = π, β = π, η = 1, γ = 1 at t = 2	3.998
	α = 3π, β = π, η = 10, γ = 20 at t = 2	3.994
03	γ = 1 at t = 1	4.199
	γ = 5 at t = 2	4.000
	γ = 10 at t = 2	4.030
04	γ = 1 at t = 2	4.001
	γ = 2 at t = 2	4.005
	γ = 3 at t = 2	3.997

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