Results 11 to 20 of about 141 (135)
Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation
Ain Shams Engineering Journal, 2018 In this work, the numerical approximation of Convection-Reaction-Diffusion equation is investigated using the method based on tension spline function and finite difference approximation.
H.S. Shekarabi, J. Rashidinia
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A Computational Method for the Time-Fractional Navier-Stokes Equation
Cumhuriyet Science Journal, 2018 In thisstudy, Navier-Stokes equations with fractional derivate are solved according totime variable. To solve these equations, hybrid generalized differentialtransformation and finite difference methods are used in various subdomains.The aim of this ...
Hüseyin Demir, İnci Çilingir Süngü
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Alexandria Engineering Journal, 2018 This article aims to obtain the numerical solution of nonlinear Burgers’ equation in one and two dimensions using hybrid trigonometric differential quadrature method.
Geeta Arora, Varun Joshi
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Frontiers in Applied Mathematics and StatisticsThis study aims to address the difficulties in solving coupled generalized non-linear Burger equations using local fractional calculus as a framework. The methodology used in this work, particularly in the area of local fractional calculus, combines the ...
Ghaliah Alhamzi +3 more
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Numerical solution of the conformable fractional diffusion equation [PDF]
, 2022 In this paper, a numerical approach for solving space-time fractional diffusion equation with variable coefficients is proposed. The fractional derivatives are described in the conformable sense.
Yaslan, H. Cerdik
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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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A Mixed‐Culture Model of a Probiotic Biofilm Control System
Computational and Mathematical Methods in Medicine, Volume 11, Issue 2, Page 99-118, 2010., 2010 We present a mathematical model and computer simulations for the control of a pathogenic biofilm by a probiotic biofilm. This is a substantial extension of a previous model of control of a pathogenic biofilm by microbial control agents that are suspended in the aqueous bulk phase (H. Khassehkhan and H.J. Eberl, Comp. Math. Meth.
Hermann J. Eberl +2 more
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A numerical study of effects of the axial stress on unsteady liquid pipeline flows
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 15, Page 777-788, 2004., 2004 We study the effects of the axial component of the shear stress on unsteady pipeline flows. We show that the axial component of the shear stress should be introduced in the modeling of unsteady flows, and as a numerical model, we propose a one‐dimensional momentum equation in which a term containing the second derivative of the velocity with respect to
Masaji Watanabe +2 more
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An efficient approach for solving a class of nonlinear 2D parabolic PDEs
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 17, Page 881-899, 2004., 2004 We consider a class of nonlinear 2D parabolic equations that allow for an efficient application of an operator splitting technique and a suitable linearization of the discretized problem. We apply our scheme to study the finite extinction phenomenon for the porous‐medium equation with strong absorption.
Dongjin Kim, Wlodek Proskurowski
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