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

${t}_{i}$ ${x}_{i}$ CRPS method OHAM [49] ADM [50] $0.1$ $0.1$ $2.41474\times {10}^{-14}$ $6.35267\times {10}^{-5}$ $8.16297\times {10}^{-7}$ $0.3$ $2.23710\times {10}^{-14}$ $1.90854\times {10}^{-4}$ $7.64245\times {10}^{-7}$ $0.5$ $2.07057\times {10}^{-14}$ $3.18548\times {10}^{-4}$ $7.16083\times {10}^{-7}$ $0.3$ $0.1$ $6.53311\times {10}^{-13}$ $6.03098\times {10}^{-5}$ $7.33445\times {10}^{-6}$ $0.3$ $6.04128\times {10}^{-13}$ $1.81187\times {10}^{-4}$ $6.86758\times {10}^{-6}$ $0.5$ $5.59441\times {10}^{-13}$ $3.02408\times {10}^{-4}$ $6.43557\times {10}^{-6}$ $0.5$ $0.1$ $3.02491\times {10}^{-12}$ $5.72865\times {10}^{-5}$ $2.03415\times {10}^{-5}$ $0.3$ $2.79698\times {10}^{-12}$ $1.72102\times {10}^{-4}$ $1.90489\times {10}^{-5}$ $0.5$ $2.59009\times {10}^{-12}$ $2.87240\times {10}^{-4}$ $1.78528\times {10}^{-5}$