... extended Fisher–Kolmogorov equation (EFKE). This article introduces a novel hybrid method utilizing a quartic non-polynomial spline (QNPS) and finite difference method to approximate the solution of EFKE. Specifically, the von-Neumann method is used to conclude the unconditional stability analysis...

..., including Von Neumann stability analysis. Error norms, such as (L₂), (L_∞) and root mean square errors, are computed to assess the accuracy of the numerical solutions. Findings The numerical experiments demonstrate that the proposed cubic B-spline collocation...

... 0 C w ( ζ ) = C 7 u ( ζ ) − C 8 v ( ζ ) , w 0 = k 3 , Fractional derivative and integrals q-homotopy analysis transform technique Laplace transform Economic and environmental mathematical model Stability analysis...

...-discrete element method (FDEM) Stability analysis Slope failure mode Safety factor (SF) Soil‒rock mixtures (SRMs) consist of high-strength rock masses and low-strength soil, as shown in Plate 1 (Liu and Liu, 2022 ; Xu et al., 2008a), and these typical heterogeneous geomaterials...

... 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...

... Stability analysis Errors This work aims to simulate 1D and 2D second order hyperbolic type wave models. Generally, the 2nd order hyperbolic wave models are defined as follows: (1.1) V t t ( ξ , t ) = V ξ ξ ( ξ , t ) + Θ ( ξ , V ( ξ , t ) , V t...

... ∈ {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...

... 2022 09 10 2022 © Emerald Publishing Limited 2022 Emerald Publishing Limited Licensed re-use rights only PID control Car-following behavior Traffic flow model Stability analysis With the continuous development of urbanization, traffic problems are becoming more and more...

... 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...