Table 4 Numerical results of the Euler implicit/explicit scheme at time \(\pmb{T=1.0}\) with varying mesh size h but fixed time step \(\pmb{\Delta t=0.01}\)

\(\boldsymbol {\frac{1}{h}}\)

\(\boldsymbol {\frac{\|u-u^{n}\|_{0}}{\|u\|_{0}}}\)

\(\boldsymbol {\frac{\|\nabla(u-u^{n})\|_{0}}{\|\nabla u\|_{0}}}\)

\(\boldsymbol {\frac{\|p-p^{n}\|_{0}}{\|p\|_{0}}}\)

\(\boldsymbol {\frac{\|\theta-\theta^{n}\|_{0}}{\|\theta\|_{0}}}\)

\(\boldsymbol {\frac{\|\nabla(\theta-\theta^{n})\|_{0}}{\|\nabla\theta\|_{0}}}\)

CPU(S)