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 1. Errors results for the 7th-CRPS of coupled system (23) and (24) at $\alpha =1.$

$v\left(x,t\right)$ solution $w\left(x,t\right)$ solution ${t}_{i}$ Absolute error Relative error Absolute error Relative error $0.2$ $9.50351\times {10}^{-13}$ $1.11807\times {10}^{-13}$ $3.7905\times {10}^{-12}$ $1.13844\times {10}^{-9}$ $0.4$ $2.54341\times {10}^{-10}$ $2.99229\times {10}^{-11}$ $1.01636\times {10}^{-9}$ $2.04618\times {10}^{-8}$ $0.6$ $6.84333\times {10}^{-9}$ $8.05115\times {10}^{-10}$ $2.73447\times {10}^{-8}$ $3.69024\times {10}^{-7}$ $0.8$ $7.18967\times {10}^{-8}$ $8.45871\times {10}^{-9}$ $2.87265\times {10}^{-7}$ $2.59868\times {10}^{-6}$