Results 31 to 40 of about 1,064 (91)
International 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
Cumhuriyet 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
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Numerical Solution of Fractional Diffusion-Wave Equation with two Space Variables by Matrix Method [PDF]
, 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
Alexandria 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
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Accurate gradient computations at interfaces using finite element methods
, 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
Efficient PML for the wave equation [PDF]
, 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
Central Schemes for Porous Media Flows
, 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.
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Gauge techniques in time and frequency domain TLM
, 2009 Typical features of the Transmission Line Matrix (TLM) algorithm in connection with stub loading techniques and prone to be hidden in common frequency domain formulations are elucidated within the propagator approach to TLM.
Cap +13 more
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Low Volatility Options and Numerical Diffusion of Finite Difference Schemes [PDF]
, 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
LDG schemes with second order implicit time discretization for a fractional sub-diffusion equation
Results in Applied Mathematics, 2019 In this paper, we propose new local discontinuous Galerkin (LDG) schemes for solving a time fractional sub-diffusion equation. The new LDG schemes is constructed rely on the splitting of time fractional derivative and space derivative.
Can Li, Xiaorui Sun, Fengqun Zhao
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