... Laplace transform Economic and environmental mathematical model Stability analysis In modern days, researchers have been particularly interested in examining the relationship between economics and the environment, which has practical consequences for a wide range of entities. This field of study...

... 17 12 2023 11 05 2024 14 07 2024 27 08 2024 © Emerald Publishing Limited 2024 Emerald Publishing Limited Licensed re-use rights only Soil‒rock mixture (SRM) slope Combined finite-discrete element method (FDEM) Stability analysis Slope failure mode Safety factor...

... transform to convert it into a traffic flow stability model suitable for branching analysis, thus converting the traffic flow problem into a system stability analysis problem. First, this paper derives the existence conditions of the model Hopf bifurcation and saddle-node bifurcation for the improved...

... Licensed re-use rights only Multidimensional hyperbolic wave models Radial basis functions LRBF-FD approximation LRBF-DQ method Quasilinearization Stability analysis Errors This work aims to simulate 1D and 2D second order hyperbolic type wave models. Generally, the 2nd order hyperbolic...

... ∈ {0.01%, 0.1%} for both linear and nonlinear potential coefficient a(t). The stability analysis shows that the discretized system of the direct problem is unconditionally stable. Research limitations/implications Since the noisy data are introduced, the investigation and analysis...

... the fundamental model of the microscopic traffic simulation tool Vissim (PTV, 2011). In fact, the stability analysis of the car-following system is a typical control problem. The control method based on the control theory has been widely applied in the car-following system. Konishi et al. (2000...

... the space derivatives. The stability of the technique is also discussed. Findings The obtained results are compared with those reported earlier showing that the present technique gives highly accurate results. The stability analysis shows that the method is unconditionally stable. Furthermore...