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• W4313244855 abstract "Numerical methods play an important role in modern mathematical research, especially studying the symmetry analysis and obtaining the numerical solutions of fractional differential equation. In the current work, we use two numerical schemes to deal with fractional differential equations. In the first case, a combination of the group preserving scheme and fictitious time integration method (FTIM) is considered to solve the problem. Firstly, we applied the FTIM role, and then the GPS came to integrate the obtained new system using initial conditions. Figure and tables containing the solutions are provided. The tabulated numerical simulations are compared with the reproducing kernel Hilbert space method (RKHSM) as well as the exact solution. The methodology of RKHSM mainly relies on the right choice of the reproducing kernel functions. The results confirm that the FTIM finds the true solution. Additionally, these numerical results indicate the effectiveness of the proposed methods." @default.
• W4313244855 created "2023-01-06" @default.
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• W4313244855 date "2022-12-26" @default.
• W4313244855 modified "2023-10-01" @default.
• W4313244855 title "Analysis of the Fractional Differential Equations Using Two Different Methods" @default.
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• W4313244855 doi "https://doi.org/10.3390/sym15010065" @default.
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