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Theory and Modern Applications

Table 6 \(L_{2}\) and \(L_{\infty }\) error norms for \(u(x,t)=v(x,t)\) of Example 1 when \(0\leq x\leq 3\), \(\alpha _{1}=\alpha _{2}=0.6\)

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

N

SJSCM (μ = η = 0, M = N)

Non-polynomial, k = 1/512

\(L_{2}(U)=L_{2}(V)\)

\(L_{\infty }(U)=L_{\infty }(V)\)

\(L_{2}(U)=L_{2}(V)\)

\(L_{\infty }(U)=L_{\infty }(V)\)

6

4.832349 × 10−4

4.14606 × 10−4

3.747639 × 10−4

3.6251 × 10−4

8

8.926735 × 10−6

6.440879 × 10−6

1.67084 × 10−4

1.6139 × 10−4

10

5.114513 × 10−7

3.48196 × 10−7

1.008135 × 10−4

9.1704 × 10−5

12

4.97548 × 10−9

3.6180436 × 10−8

7.48392 × 10−5

6.659 × 10−5