A New Numerical Algorithm for Solving a Class of Fractional Advection-Dispersion Equation with Variable Coefficients Using Jacobi Polynomials

Table 2

Comparing maximum absolute errors for different choices of 𝑎𝑙 and 𝛽 and 𝑁=3,6,12,24.

𝑁	𝛼=𝛽=1/2	𝛼=−𝛽=1/2	−𝛼=𝛽=1/2	𝛼=𝛽=0	𝛼=𝛽=3/2
3	1.99×10^−2	3.40×10^−2	2.30×10^−2	1.30×10^−2	3.29×10^−2
6	6.10×10^−4	1.45×10^−3	6.84×10^−4	3.48×10^−4	1.21×10^−3
12	1.02×10^−4	5.08×10^−4	1.05×10^−4	1.04×10^−4	1.06×10^−4
18	5.38×10^−5	2.61×10^−4	5.47×10^−5	5.41×10^−5	5.84×10^−5
24	3.55×10^−5	1.34×10^−4	3.49×10^−5	3.92×10^−5	3.74×10^−5