Numerical analysis of stochastic SIR model by Legendre spectral collocation method [PDF]
Advances in Mechanical Engineering, 2019 This article represents Legendre spectral collocation method based on Legendre polynomials to solve a stochastic Susceptible, infected, Recovered (SIR) model.
Sami Ullah Khan, Ishtiaq Ali
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Advanced stability analysis of a fractional delay differential system with stochastic phenomena using spectral collocation method [PDF]
Scientific ReportsIn recent years, there has been a growing interest in incorporating fractional calculus into stochastic delay systems due to its ability to model complex phenomena with uncertainties and memory effects.
Mengqi Xie +4 more
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Solving Stochastic Nonlinear Poisson-Boltzmann Equations Using a Collocation Method Based on RBFs [PDF]
Mathematics, 2023 In this paper, we present a numerical scheme based on a collocation method to solve stochastic non-linear Poisson–Boltzmann equations (PBE). This equation is a generalized version of the non-linear Poisson–Boltzmann equations arising from a form of ...
Samaneh Mokhtari +4 more
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Stochastic collocation methods via $L_1$ minimization using randomized quadratures [PDF]
SIAM Journal on Scientific Computing, 2016 25 pages, 8 ...
Ling Guo +3 more
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Stochastic collocation method for computing eigenspaces of parameter-dependent operators [PDF]
Numerische Mathematik, 2022 AbstractWe consider computing eigenspaces of an elliptic self-adjoint operator depending on a countable number of parameters in an affine fashion. The eigenspaces of interest are assumed to be isolated in the sense that the corresponding eigenvalues are separated from the rest of the spectrum for all values of the parameters.
Luka Grubišić +2 more
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Stochastic Optimization of Economic Dispatch With Wind and Photovoltaic Energy Using the Nested Sparse Grid-Based Stochastic Collocation Method [PDF]
IEEE Access, 2019 Due to the increasing uncertainty brought about by renewable energy, conventional deterministic dispatch approaches have not been very applicative. This paper investigates a nested sparse grid-based stochastic collocation method (NS-SCM) as a possible ...
Zhilin Lu +3 more
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Uncertainty Quantification in Small-Timescale Model-Based Fatigue Crack Growth Analysis Using a Stochastic Collocation Method [PDF]
Metals, 2020 Due to the uncertainties originating from the underlying physical model, material properties and the measurement data in fatigue crack growth (FCG) processing, the prediction of fatigue crack growth lifetime is still challenging.
Hesheng Tang, Xueyuan Guo, Songtao Xue
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Application of Legendre spectral-collocation method to delay differential and stochastic delay differential equation [PDF]
AIP Advances, 2018 Explicit solutions to delay differential equation (DDE) and stochastic delay differential equation (SDDE) can rarely be obtained, therefore numerical methods are adopted to solve these DDE and SDDE.
Sami Ullah Khan, Ishtiaq Ali
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A RBF partition of unity collocation method based on a finite difference scheme to solve parabolic stochastic partial differential equations [PDF]
پژوهشهای ریاضی, 2021 Meshfree methods based on radial basis functions (RBFs) are popular tools for the numerical solution of parabolic stochastic partial differential equations (PSPDEs).
Mohsen Esmaeilbeigi +2 more
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Collocation method for stochastic delay differential equations
Probabilistic Engineering Mechanics, 2023 Gergő Fodor +2 more
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