Results 31 to 40 of about 1,084 (89)

A Fitted Linear Multistep Approach for Singularly Perturbed Parabolic‐Type Reaction–Diffusion Problems Using Shishkin Meshes

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This paper presents a class of singularly perturbed parabolic‐type reaction diffusion problems. Due to the presence of a small parameter ε, (0 < ε ≪ 1) as a diffusion coefficient, the proposed problem exhibits twin boundary layers in the neighborhood of the end points of the spatial domain near x = 0 and x = 1.
Amare Worku Demsie   +3 more
wiley   +1 more source

A Computational Method for the Time-Fractional Navier-Stokes Equation

open access: yesCumhuriyet Science Journal, 2018
In thisstudy, Navier-Stokes equations with fractional derivate are solved according totime variable. To solve these equations, hybrid generalized differentialtransformation and finite difference methods are used in various subdomains.The aim of this ...
Hüseyin Demir, İnci Çilingir Süngü
doaj   +1 more source

A computational approach using modified trigonometric cubic B-spline for numerical solution of Burgers’ equation in one and two dimensions

open access: yesAlexandria Engineering Journal, 2018
This article aims to obtain the numerical solution of nonlinear Burgers’ equation in one and two dimensions using hybrid trigonometric differential quadrature method.
Geeta Arora, Varun Joshi
doaj   +1 more source

Numerical Solution of Fractional Diffusion-Wave Equation with two Space Variables by Matrix Method [PDF]

open access: yes, 2010
Mathematics Subject Classi¯cation 2010: 26A33, 65D25, 65M06, 65Z05.In the present paper we solve space-time fractional diffusion-wave equation with two space variables, using the matrix method.
Garg, Mridula, Manohar, Pratibha
core  

Central Schemes for Porous Media Flows

open access: yes, 2009
We are concerned with central differencing schemes for solving scalar hyperbolic conservation laws arising in the simulation of multiphase flows in heterogeneous porous media.
Abreu, E., Pereira, F., Ribeiro, S.
core   +2 more sources

Efficient PML for the wave equation [PDF]

open access: yes, 2009
In the last decade, the perfectly matched layer (PML) approach has proved a flexible and accurate method for the simulation of waves in unbounded media. Most PML formulations, however, usually require wave equations stated in their standard second-order ...
Grote, Marcus J., Sim, Imbo
core  

Accurate gradient computations at interfaces using finite element methods

open access: yes, 2017
New finite element methods are proposed for elliptic interface problems in one and two dimensions. The main motivation is not only to get an accurate solution but also an accurate first order derivative at the interface (from each side). The key in 1D is
Li, Zhilin   +3 more
core   +1 more source

A model problem for Mean Field Games on networks

open access: yes, 2014
In [14], Gueant, Lasry and Lions considered the model problem ``What time does meeting start?'' as a prototype for a general class of optimization problems with a continuum of players, called Mean Field Games problems. In this paper we consider a similar
Camilli, Fabio   +2 more
core   +2 more sources

Implicit method for nonlinear complex diffusion with applications to image denoising [PDF]

open access: yes, 2017
In this paper we focus on the development and implementation of an implicit finite difference method for solving a complex diffusion differential equation with applications to noise filtering in images.
Oliveira, Marlon, Serranho, Pedro
core  

Low Volatility Options and Numerical Diffusion of Finite Difference Schemes [PDF]

open access: yes, 2010
2000 Mathematics Subject Classification: 65M06, 65M12.In this paper we explore the numerical diffusion introduced by two nonstandard finite difference schemes applied to the Black-Scholes partial differential equation for pricing discontinuous payoff and
Milev, Mariyan, Tagliani, Aldo
core  

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