An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative

Mohammed Al-Smadi,Omar Abu Arqub,Samir Hadid

Table 3. Comparison of absolute errors, ${w}_{2}(x,t),$ of system (40) and (41) at $\alpha =1.$

${t}_{i}$ ${x}_{i}$ CRPS method OHAM [49] ADM [50] $0.1$ $0.1$ $9.57047\times {10}^{-15}$ $1.65942\times {10}^{-5}$ $5.88676\times {10}^{-5}$ $0.3$ $8.67188\times {10}^{-15}$ $4.98691\times {10}^{-5}$ $5.56914\times {10}^{-5}$ $0.5$ $7.88952\times {10}^{-15}$ $8.26491\times {10}^{-4}$ $5.27169\times {10}^{-5}$ $0.3$ $0.1$ $2.58368\times {10}^{-13}$ $1.55880\times {10}^{-5}$ $1.78041\times {10}^{-4}$ $0.3$ $2.34352\times {10}^{-13}$ $4.68439\times {10}^{-5}$ $1.68429\times {10}^{-4}$ $0.5$ $2.12989\times {10}^{-13}$ $7.63646\times {10}^{-4}$ $1.59428\times {10}^{-4}$ $0.5$ $0.1$ $1.19627\times {10}^{-12}$ $1.46569\times {10}^{-5}$ $2.99162\times {10}^{-4}$ $0.3$ $1.08511\times {10}^{-12}$ $4.40448\times {10}^{-5}$ $2.83001\times {10}^{-4}$ $0.5$ $9.86156\times {10}^{-12}$ $7.06678\times {10}^{-4}$ $2.67868\times {10}^{-4}$