Results 21 to 30 of about 1,046 (82)
Results in Physics, 2021 The paper aims to extend the model of the Ebola virus in bats to the mathematical model of fractional order using Atangana- Baleanu derivative operator.
M.A.Almuqrin +5 more
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Approximations to linear Klein–Gordon Equations using Haar wavelet
Ain Shams Engineering Journal, 2021 In this research article, two Haar wavelet collocation methods (HWCMs) (namely one dimensional HWCM and two dimensional HWCM) are adapted to approximate linear homogeneous and linear non-homogeneous Klein–Gordon equations.
Sana Ikram +2 more
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On the solution of (n+1)-dimensional fractional M-Burgers equation
Alexandria Engineering Journal, 2021 In the paper, (n+1)-dimensional fractional M-Burgers equation with a force term in the sense of the Caputo fractional derivative is considered. We solve this equation using homotopy perturbation method (HPM) and find its approximate analytical solution ...
Adem Kilicman +2 more
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Efficient PML for the wave equation [PDF]
, 2009 In the last decade, the perfectly matched layer (PML) approach has proved a flexible and accurate method for the simulation of waves in unbounded media. Most PML formulations, however, usually require wave equations stated in their standard second-order ...
Grote, Marcus J., Sim, Imbo
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Analysis and new simulations of fractional Noyes-Field model using Mittag-Leffler kernel
Scientific African, 2022 In this manuscript, the fractional-in-time NoyesField model for Belousov-Zhabotinsky reaction transport is considered with a novel numerical technique, which was used to approximate the Atangana-Baleanu (ABC) operator which models the subdiffusion ...
Berat Karaagac +2 more
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On the approximation of the principal eigenvalue for a class of nonlinear elliptic operators
, 2016 We present a finite difference method to compute the principal eigenvalue and the corresponding eigenfunction for a large class of second order elliptic operators including notably linear operators in nondivergence form and fully nonlinear operators. The
Birindelli, Isabeau +2 more
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On the Two-phase Fractional Stefan Problem
Advanced Nonlinear Studies, 2020 The classical Stefan problem is one of the most studied free boundary problems of evolution type. Recently, there has been interest in treating the corresponding free boundary problem with nonlocal diffusion.
del Teso Félix +2 more
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Low Volatility Options and Numerical Diffusion of Finite Difference Schemes [PDF]
, 2010 2000 Mathematics Subject Classification: 65M06, 65M12.In this paper we explore the numerical diffusion introduced by two nonstandard finite difference schemes applied to the Black-Scholes partial differential equation for pricing discontinuous payoff and
Milev, Mariyan, Tagliani, Aldo
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Numerical analysis of the fractional evolution model for heat flow in materials with memory
Alexandria Engineering Journal, 2020 This paper develops the solution of the two-dimensional time fractional evolution model using finite difference scheme derived from radial basis function (RBF-FD) method.
O. Nikan, H. Jafari, A. Golbabai
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Computational dynamics of predator-prey model with the power-law kernel
Results in Physics, 2021 Evolution system which contains fractional derivatives can give rise to useful mathematical model for describing some important real-life or physical scenarios.
Kolade M. Owolabi
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