Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
wiley +1 more source
Significance of Convection and Internal Heat Generation on the Thermal Distribution of a Porous Dovetail Fin with Radiative Heat Transfer by Spectral Collocation Method. [PDF]
Micromachines (Basel), 2022 Sowmya G +10 more
europepmc +1 more source
Computation of frequency responses for linear time-invariant PDEs on a compact interval
, 2013 We develop mathematical framework and computational tools for calculating frequency responses of linear time-invariant PDEs in which an independent spatial variable belongs to a compact interval.
Jovanović, Mihailo R., Lieu, Binh K.
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A dramaturgy of uncertainty: Transdisciplinary manoeuvres across forestry and theatre
People and Nature, EarlyView.Abstract The uncertainties of climate change mean that forestry adaptation strategies are often complex and contested. Research has suggested that there is an interest in the forestry sector for facilitated dialogue about uncertainty (de Pellegrin Llorente et al., 2023).
Rachel Clive +4 more
wiley +1 more source
Spectral Optimized Multiderivative Hybrid Block Method for Fitzhugh–Nagumo Equations
International Journal of Differential EquationsThe Fitzhugh–Nagumo equation, a key model for excitable systems in biology and neuroscience, requires efficient numerical methods due to its nonlinear nature.
Uthman O. Rufai +4 more
doaj +1 more source
Improved numerical schemes to solve general fractional diabetes models
Alexandria Engineering JournalIn this article, we propose a new class of nonlinear fractional differential equations of diabetes disease based on the concept of Caputo fractional derivative.
Muner M. Abou Hasan +3 more
doaj +1 more source
Domain decomposition methods for systems of conservation laws: Spectral collocation approximations [PDF]
Hyperbolic systems of conversation laws are considered which are discretized in space by spectral collocation methods and advanced in time by finite difference schemes.
Quarteroni, Alfio
core +1 more source
Kernel-based stochastic collocation for the random two-phase Navier-Stokes equations
, 2018 In this work, we apply stochastic collocation methods with radial kernel basis functions for an uncertainty quantification of the random incompressible two-phase Navier-Stokes equations.
Griebel, Michael +2 more
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Accelerate the Electrolyte Perturbed-Chain Statistical Associating Fluid Theory-Density Functional Theory Calculation With the Chebyshev Pseudo-Spectral Collocation Method. Part II. Spherical Geometry and Anderson Mixing. [PDF]
Front Chem, 2021 Sun Y +5 more
europepmc +1 more source
A multidomain spectral collocation method for the Stokes problem [PDF]
A multidomain spectral collocation scheme is proposed for the approximation of the two-dimensional Stokes problem. It is shown that the discrete velocity vector field is exactly divergence-free and we prove error estimates both for the velocity and the ...
Landriani, G. Sacchi, Vandeven, H.
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