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Theory and Modern Applications

Table 13 \(L_{\infty }\) error norm for \(u(x,t)=v(x,t)\) of Example 2 with \(0\leq x\leq 3\), \(\alpha _{1}=\alpha _{2}=0.4\), \(N=5\) and \(\mu =\eta =0\)

From: Non-polynomial B-spline and shifted Jacobi spectral collocation techniques to solve time-fractional nonlinear coupled Burgers’ equations numerically

k

Non-polynomial

TQF [27, Table 1]

FDM [27, Table 1]

1/64

3.14429 × 10−4

1.62969572 × 10−3

1.58537183 × 10−2

1/128

1.04448 × 10−4

4.07935306 × 10−4

5.42638453 × 10−3

1/256

3.30541 × 10−5

9.40924121 × 10−5

1.82754471 × 10−3

1/512

9.4031 × 10−6

1.58381076 × 10−5

6.04886113 × 10−4