Results 11 to 20 of about 1,064 (91)
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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VAGO method for the solution of elliptic second-order boundary value problems [PDF]
, 2010 Mathematical physics problems are often formulated using differential oprators of vector analysis - invariant operators of first order, namely, divergence, gradient and rotor operators.
Vabishchevich, Nikolay P. +1 more
core +4 more sources
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
wiley +1 more source
Numerical methods for the multiplicative partial differential equations
Open Mathematics, 2017 We propose the multiplicative explicit Euler, multiplicative implicit Euler, and multiplicative Crank-Nicolson algorithms for the numerical solutions of the multiplicative partial differential equation.
Yazıcı Muhammet, Selvitopi Harun
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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
wiley +1 more source
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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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 14, Page 721-739, 2004., 2004 We study a family of diffusion models for compounded risk reserves which account for the investment income earned and for the inflation experienced on claim amounts. We are interested in the models in which the dividend payments are paid from the risk reserves.
S. Shao, C. L. Chang
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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 63, Page 3979-3993, 2003., 2003 We consider Euler equations with stratified background state that is valid for internal water waves. The solution of the initial‐boundary problem for Boussinesq approximation in the waveguide mode is presented in terms of the stream function. The orthogonal eigenfunctions describe a vertical shape of the internal wave modes and satisfy a Sturm ...
A. A. Halim +2 more
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Open Mathematics, 2017 This article presents a new method of solving partial differential equations. The method is an improvement of the previously reported compact finite difference quasilinearization method (CFDQLM) which is a combination of compact finite difference schemes
Dlamini P.G., Khumalo M.
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