Results 91 to 100 of about 14,242,248 (191)
An Analysis of the Nonstandard Finite Difference and Galerkin Methods Applied to the Huxley Equation
MathematicsThe Huxley equation, which is a nonlinear partial differential equation, is used to describe the ionic mechanisms underlying the initiation and propagation of action potentials in the squid giant axon. This equation, just like many other nonlinear equations, is often very difficult to analyze because of the presence of the nonlinearity term, which is ...
Pius W. M. Chin +2 more
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Applications of Nonstandard Finite Difference Methods to Nonlinear Heat Transfer Problems [PDF]
, 2011 This chapter presents some applications of nonstandard finite difference methods to general nonlinear heat transfer problems. Nonlinearity in heat transfer problems arises when i. Some properties in the problem are temperature dependent ii. Boundary conditions are described by nonlinear functions iii.
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Finite difference method and finite volume method for solving navier-stokes equation in sea water movement [PDF]
, 2013 This project proposed the Navier-Stokes equation of sea water modeling. The mathematical modeling consists of momentum , heat and salinity equations. The three parameters influence on sea water movement are momentum, temperature and salinity.
Mohamed, Nur Syahida
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Solution of Large Stochastic Finite Element Problems – Application to ECT-NDT [PDF]
, 2013 Version éditeur disponible à cette adresse : http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6514633This paper describes an efficient bloc iterative solver for the Spectral Stochastic Finite Element Method (SSFEM). The SSFEM was widely used to
MOREAU, Olivier +3 more
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International Journal of Applied Mathematics and Computer Science, 2014 In this paper, a NonStandard Finite Difference (NSFD) scheme is constructed, which can be used to determine numerical solutions for an epidemic model with vaccination.
Ding Deqiong, Ma Qiang, Ding Xiaohua
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A Generic Modelling of Fire Impact in a Tree-Grass Savanna Model
Biomath, 2014 We propose and study a model for tree-grass interactions in the context of savannas which are subjected to fire pressure. Several theoretical models in the literature which have highlighted the impact of fire on tree-grass interactions did not explicitly
Alexis Tamen Tchuinte +4 more
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A Novel Piecewise Linear Recursive Convolution Approach for Dispersive Media Using the Finite-Difference Time-Domain Method [PDF]
, 2014 Two novel methods for implementing recursively the convolution betweenthe electric field and a time dependent electric susceptibility function inthe finite-difference time domain (FDTD) method are presented.
Giannakis, Iraklis +2 more
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Ain Shams Engineering JournalIn this paper, we analyze the fractional compartmental model in the sense of Caputo derivative for the dynamics of the novel human papillomavirus, which causes cervical cancer.
Asma Rashid Butt +4 more
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A nonstandard compact finite difference method for a truncated Bratu–Picard model
AIMS Mathematics<p>In this paper, we used the nonstandard compact finite difference method to numerically solve one-dimensional truncated Bratu-Picard equations and discussed the convergence analysis of the proposed method. Depending on the parameters in the mentioned equation, it may have no solution, one solution, or two solutions; also, it may have infinitely
Maryam Arabameri +3 more
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Efficient parallel computing with a compact finite difference scheme
, 2012 This paper proposes an efficient parallel computing approach based on a high-order accurate compact finite difference scheme in conjunction with a conventional domain decomposition method and MPI libraries.
Kim, J.W., Sandberg, R.D.
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