Application of hyperbolic partial differential equations in global optimal scheduling of UAV

Abstract

The global optimal scheduling of UAV (unmanned aerial vehicle) navigation channel is studied. Firstly, a multi-channel optimal scheduling mathematical model based on the HPDEs (hyperbolic partial differential equations) wave combination optimization is proposed. Secondly, the pseudo arc length method is applied to solve the HPDEs, and the form of the spatial transformation of the global pseudo arc length method and its mesh adaptive properties are given. Finally, the results show that the mathematical model is used to achieve better convergence of the UAV's channel scheduling, and the scheduling delay error is lower, which has better reliability and robustness.

Keywords

• Hyperbolic partial differential equations
• Global optimal scheduling
• Wave combination
• UAV
• Convergence