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Table 1 The spacial error and convergence order of the scheme for different γ, α, β with \(\tau=1/1000\)

From: Finite difference scheme for simulating a generalized two-dimensional multi-term time fractional non-Newtonian fluid model

γ = 1.7, α = 0.8, β = 0.6 \(L_{2} \) error Order \(L_{\infty}\) error Order
h = 1/4 3.5954E−02   7.1908E−02  
h = 1/8 8.8281E−03 2.03 1.7656E−02 2.03
h = 1/16 2.1957E−03 2.01 4.3914E−03 2.01
h = 1/32 5.4676E−04 2.01 1.0935E−03 2.01
h = 1/64 1.3510E−04 2.02 2.7020E−04 2.02
γ = 1.5, α = 0.6, β = 0.4 \(L_{2} \) error Order \(L_{\infty}\) error Order
h = 1/4 3.5339E−02   7.0678E−02  
h = 1/8 8.6774E−03 2.03 1.7355E−02 2.03
h = 1/16 2.1590E−03 2.01 4.3181E−03 2.01
h = 1/32 5.3849E−04 2.00 1.0770E−03 2.00
h = 1/64 1.3392E−04 2.01 2.6784E−04 2.01
γ = 1.2, α = 0.4, β = 0.2 \(L_{2} \) error Order \(L_{\infty}\) error Order
h = 1/4 3.4841E−02   6.9682E−02  
h = 1/8 7.7561E−03 2.03 1.7108E−02 2.03
h = 1/16 1.9248E−03 2.01 4.2575E−03 2.01
h = 1/32 4.7517E−04 2.02 1.0628E−03 2.00
h = 1/64 1.1326E−04 2.00 2.6526E−04 2.00