Skip to main content

Theory and Modern Applications

Table 5 \(L_{2}\) and \(L_{\infty }\) error norms for \(u(x,t)=v(x,t)\) of Example 1 when \(0\leq x\leq 3\), \(\alpha _{1}=\alpha _{2}=0.4\)

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

4.9796269 × 10−4

4.182894 × 10−4

3.83958 × 10−4

3.6628 × 10−4

8

9.129036 × 10−6

6.416412 × 10−6

1.47293 × 10−4

1.44863 × 10−4

10

5.17690046 × 10−7

3.590876 × 10−7

7.12879 × 10−5

6.89816 × 10−5

12

5.0265239 × 10−8

3.5125245 × 10−8

4.1178 × 10−5

3.911 × 10−5