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Table 4 Exact solution and absolute errors for Example 2 at time \(t=1\), \(\beta=1\), fixed \(h=0.0625\) and \(\tau=0.01\)

From: A new formulation of finite difference and finite volume methods for solving a space fractional convection–diffusion model with fewer error estimates

x Exact solution Absolute error Absolute error
  FDSF FVSF
−2. 0.02949131 2.860725 × 10−4 8.30618 × 10−5
−1.9375 0.05741732 1.941801 × 10−4 9.50135 × 10−5
−1.875 0.08254919 4.107925 × 10−4 8.55201 × 10−5
−1.8125 0.10222554 6.965656 × 10−4 1.08174 × 10−5
−1.75 0.12048793 1.199878 × 10−4 1.27712 × 10−5
−1.6875 0.13548110 1.046201 × 10−4 4.48834 × 10−5
−1.625 0.14885322 1.139510 × 10−4 6.06044 × 10−5
−1.5625 0.16225611 2.306122 × 10−4 7.57187 × 10−5
−1.5 0.17534557 1.393114 × 10−4 9.08811 × 10−5
−1.4375 0.18828164 6.647887 × 10−4 0.20690 × 10−5
−1.375 0.20312896 3.956443 × 10−4 0.70671 × 10−5
−1.3125 0.21995710 8.339676 × 10−4 0.84062 × 10−5
−1.25 0.23504094 8.336256 × 10−4 0.25998 × 10−5