نتایج جستجو برای: finite difference numerical method

تعداد نتایج: 2343489  

2015
Treena Basu Indranil SenGupta

This paper proposes an approach for the space-fractional diffusion equation in one dimension. Since fractional differential operators are non-local, two main difficulties arise after discretization and solving using Gaussian elimination: how to handle the memory requirement of O(N) for storing the dense or even full matrices that arise from application of numerical methods and how to manage the...

2000
B. GAHAN J. J. H. MILLER B. Gahan J. J. H. Miller G. I. Shishkin

We construct a new finite difference method for computing reference numerical solutions to the one–parameter family of Blasius’ problems arising from incompressible laminar flow past a thin flat plate with mass transfer by both suction and blowing. We show that, by studying several representative problems in the family, the method generates nodal approximations, at a finite number of nodes, to ...

Journal: :Applied Mathematics and Computation 2014
M. A. Obregon E. Sanmiguel-Rojas Ramón Fernández-Feria

Keywords: Ostrovsky equation Extended Korteweg–de Vries equation Gardner equation Solitons Strong-stability-preserving method a b s t r a c t The Gardner–Ostrovsky equation, also known as the extended rotation-modified Korteweg–de Vries (KdV) equation, describes weakly nonlinear internal oceanic waves under the influence of Earth' rotation. High accuracy numerical methods are needed to follow w...

Journal: :JCP 2011
Jincai Chang Qianli Yang Long Zhao

B-spline functions play important roles in both mathematics and engineering. To describe a numerical method for solving the boundary value problem of linear ODE with second-order by using B-spline. First, the cubic B-spline basis functions are introduced, then we use the linear combination of cubic B-spline basis to approximate the solution. Finally, we obtain the numerical solution by solving ...

2006
B. Verleye

Numerical computation of textile permeability is important for composite manufacturing. Using Darcy’s law, permeability can be derived from a simulation of the fluid flow, i.e. after solving the Stokes, Navier-Stokes or Brinkman equations. The latter allow to model intra-yarn flow in case of permeable yarns. In this paper we present a numerical method for the calculation of the permeability of ...

2012

In this article, our objective is the analysis of the resolution of non-linear differential systems by combining Newton and Continuation (N-C) method. The iterative numerical methods converge where the initial condition is chosen close to the exact solution. The question of choosing the initial condition is answered by N-C method. Keywords—Continuation method, Newton method, finite difference m...

Journal: :Applied Mathematics and Computation 2005
Siraj-ul-Islam Muhammad Azam Khan Syed Ikram A. Tirmizi Edward H. Twizell

Quartic non-polynomial splines are used to develop a new numerical method for computing approximations to the solution of a system of third-order boundary-value problems associated with obstacle, unilateral, and contact problems. It is shown that the new method gives approximations, which are better than those produced by other collocation, finite-difference, and spline methods. Convergence ana...

Journal: :Numerische Mathematik 2007
Blanca Bujanda Carmelo Clavero Jose L. Gracia Juan Carlos Jorge

In this work we design and analyze a numerical method to solve efficiently two dimensional initial-boundary value reaction-diffusion problems, where the diffusion parameter can be very small in comparison with the reaction term. The method is defined by combining the Peaceman & Rachford alternating direction method to discretize in time with a finite difference scheme of HODIE type, which is de...

Journal: :Numerische Mathematik 2014
Jon Häggblad Olof Runborg

While a number of increasingly sophisticated numerical methods have been developed for time-dependent problems in electromagnetics, the Yee scheme is still widely used in the applied fields, mainly due to its simplicity and computational efficiency. A fundamental drawback of the method is the use of staircase boundary approximations, giving inconsistent results. Usually experience of numerical ...

Journal: :Eng. Appl. of AI 2012
S. M. Bateni D.-S. Jeng S. M. Mortazavi Naeini

Most models used in land surface hydrology, vadose zone hydrology, and hydro-climatology require an accurate representation of soil thermal properties (soil thermal conductivity and volumetric heat capacity). Various empirical relations have been suggested to estimate soil thermal properties. However, they require many input parameters such as soil texture, mineralogical composition, porosity a...

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