Results 1 to 10 of about 1,064 (91)
A local stabilized approach for approximating the modified time-fractional diffusion problem arising in heat and mass transfer [PDF]
Journal of Advanced Research, 2021 Introduction: During the last years the modeling of dynamical phenomena has been advanced by including concepts borrowed from fractional order differential equations.
O. Nikan +2 more
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Numerical solution of a malignant invasion model using some finite difference methods
Demonstratio Mathematica, 2023 In this article, one standard and four nonstandard finite difference methods are used to solve a cross-diffusion malignant invasion model. The model consists of a system of nonlinear coupled partial differential equations (PDEs) subject to specified ...
Appadu Appanah Rao +1 more
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Demonstratio Mathematica, 2022 The study of biofilm formation is becoming increasingly important. Microbes that produce biofilms have complicated impact on medical implants.
Tijani Yusuf O., Appadu Appanah R.
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An accurate and efficient local one-dimensional method for the 3D acoustic wave equation
Demonstratio Mathematica, 2022 We establish an accurate and efficient scheme with four-order accuracy for solving three-dimensional (3D) acoustic wave equation. First, the local one-dimensional method is used to transfer the 3D wave equation into three one-dimensional wave equations ...
Wu Mengling, Jiang Yunzhi, Ge Yongbin
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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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Open Mathematics, 2023 Recently, regime-switching option pricing based on fractional diffusion models has been used, which explains many significant empirical facts about financial markets better.
Wu Shuang +3 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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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 instability of a nonlocal conservation law [PDF]
, 2011 We are interested in a nonlocal conservation law which describes the morphodynamics of sand dunes sheared by a fluid flow, recently proposed by Andrew C. Fowler. We prove that constant solutions of Fowler's equation are non-linearly unstable.
Bouharguane, Afaf
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