In the context of reaching best way to control movement autonomous cars linearly and angularly, making them more stable balanced on different roads ensuring that they avoid road obstacles, this manuscript chiefly aims reach optimal approach for a fractional-order PID controller (or PIγDρ-controller) instead already classical one used provide smooth automatic parking electrical cars. The PIγDρ-c...

Abstract The intent of this paper is to encourage improved numerical implementation land models. Our contributions in are two-fold. First, we present a unified framework formulate and implement model equations. We separate the representation physical processes from their solution, enabling use established robust methods solve Second, introduce set synthetic test cases (the laugh tests) evaluate...

Variational based solvation models of biomolecules with smooth interface have drawn attentions in the past decade since they been developed as an efficient and reliable representation solute-solvent interfaces framework implicit solvent models. This work aims at providing solid mathematical supports for a promising geometric flow computational model (GFBSS) its involved treatments. For this pur...