Results 31 to 40 of about 465 (189)
Ife Journal of ScienceThis manuscript presents a second derivative two-step hybrid block method derived through collocation techniques. The derived scheme and the sixth order compact difference schemes are used to efficiently solve the nonlinear FitzHugh-Nagumo Partial ...
B. I. Akinnukawe, E. Atteh
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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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A Compact Alternating Direction Implicit Scheme for Two-Dimensional Fractional Oldroyd-B Fluids [PDF]
, 2015 [Vasileva Daniela; Василева Даниела]; [Bazhlekov Ivan; Бажлеков Иван]; [Bazhlekova Emilia; Бажлекова Емилия]The two-dimensional Rayleigh-Stokes problem for a generalized Oldroyd-B fluid is considered in the present work.
Bazhlekova, Emilia +3 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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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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Numerical simulation of oxygen distribution in soft tissue exposed to an external heat impulse
Journal of Applied Mathematics and Computational Mechanics. The purpose of this study is to analyse the effect of elevated temperature on oxygen distribution in biological tissue. The effect of temperature and thermal tissue damage on the values of thermophysical parameters was considered.
M. Zadoń, M. Jasiński
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A new numerical scheme for solving the two dimensional fractional diffusion equation
Journal of Applied Mathematics and Computational Mechanics, 2021 In this study, the locally one dimensional (LOD) method is used to solve the two dimensional time fractional diffusion equation. The fractional derivative is the Caputo fractional derivative of order α.
D. A. Koç, M. Gülsu
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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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Finite difference scheme for a high order nonlinear Schrödinger equation with localized damping
, 2019 In this work we present a finite difference scheme used to solve a High order Nonlinear Schrödinger Equation. These equations can model the propagation of solitons travelling in fiber optics ([3], [11]).
SEPÚLVEDA C., Mauricio A. +3 more
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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
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