Results 21 to 30 of about 155 (148)
Viscous dissipative free convective flow from a vertical cone with heat generation/absorption, MHD in the presence of radiative non-uniform surface heat flux [PDF]
, 2020 The problem of combined effect of heat generation/absorption and thermal radiation on unsteady, laminar, natural convective movement with MHD, viscous dissipation over a vertical cone in the presence of variable heat flux is considered. The converted FDE’
KANNAN , Rayampettai Munisamy +1 more
core +1 more source
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.
doaj +1 more source
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
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
wiley +1 more source
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
wiley +1 more source
Fast implicit schemes for the fokker-planck-landau equation [PDF]
, 2004 We propose time implicit schemes to solve the homogeneous Fokker-Planck-Landau equation in both the isotropic and 3D geometries. These schemes have properties of conservation and entropy. Moreover, they allow for large time steps, making them faster than
Mieussens, Luc +3 more
core +1 more source
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
wiley +1 more source
A robust method of lines solution for singularly perturbed delay parabolic problem
Alexandria Engineering Journal, 2020 A numerical method is proposed to solve a non-autonomous singularly perturbed parabolic differential equation with a time delay. The solution is obtained by a step by step discretisation process. First the spatial derivatives are discretised via a fitted
Nana Adjoah Mbroh +2 more
doaj +1 more source
On the numerical solution of the diffusion equation with a nonlocal boundary condition
Mathematical Problems in Engineering, Volume 2003, Issue 2, Page 81-92, 2003., 2003 Parabolic partial differential equations with nonlocal boundary specifications feature in the mathematical modeling of many phenomena. In this paper, numerical schemes are developed for obtaining approximate solutions to the initial boundary value problem for one‐dimensional diffusion equation with a nonlocal constraint in place of one of the standard ...
Mehdi Dehghan
wiley +1 more source