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Theory and Modern Applications

Table 10 \(L_{2}\) and \(L_{\infty }\) error norms for \(u(x,t)=v(x,t)\) of Example 2 when \(0\leq x\leq 3\), \(\alpha _{1}=\alpha _{2}=0.05\)

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

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

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

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

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

5

2.75698 × 10−5

2.13309 × 10−5

4.007281 × 10−6

3.53822 × 10−6

7

1.077029 × 10−6

8.115332 × 10−7

1.10546 × 10−6

9.276 × 10−7

9

1.494298 × 10−8

1.051348 × 10−8

3.629646 × 10−7

3.80652 × 10−7

11

9.744539 × 10−10

7.271968 × 10−10

2.095027 × 10−7

2.551637 × 10−7