Numerical Study of Some Intelligent Robot Systems Governed by the Fractional Differential Equations

TLDR

This work provides a high order numerical methods for solving some intelligent Robot Systems, which are governed by the fractional nonlinear variable coefficient reaction diffusion equations with delay, and can be extended to solve the reaction diffusion equation with multi-delays.

Abstract

We provide a high order numerical methods for solving some intelligent Robot Systems, which are governed by the fractional nonlinear variable coefficient reaction diffusion equations with delay. The convergence of this numerical algorithm is discussed via the energy method. Besides, this algorithm can also be extended to solve the reaction diffusion equation with multi-delays. Finally, we carry on the numerical analysis, and the results of the numerical tests are coincide with the theoretical results.