Results 61 to 70 of about 465 (189)
On the computation of roll waves [PDF]
, 2001 . The phenomenon of roll waves occurs in a uniform open-channel flow down an incline, when the Froude number is above two. The goal of this paper is to analyze the behavior of numerical approximations to a model roll wave equation ut + uux = u; u(x; 0) =
Jin, S +4 more
core +1 more source
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
Demonstratio MathematicaIn this paper, we propose and study a new ternary three-dimensional fractional reaction-diffusion model. The model combines Caputo fractional derivatives in time with Riesz fractional derivatives in space.
Kosari Saeed, Guan Hao
doaj +1 more source
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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Observability inequality for the spatial discretization of weakly coupled 2d-wave equations
Demonstratio MathematicaThis study addresses the problem of indirect boundary observability for a spatial semi-discretization of weakly coupled two-dimensional wave equations. The discretization is performed using a finite difference method on a uniform mesh. More specifically,
Beljadid Lahcen +2 more
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, 2022 In this paper, we study the regularization of 3D curves connecting two points. We propose an energy-based formulation which is an extension to 3D of the geodesic active contours introduced in 2D by Caselles et al. in 1997.
Alvarez, Luis, Luis Alvarez
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Invariant conservative finite-difference schemes for the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates [PDF]
Open Communications in Nonlinear Mathematical PhysicsInvariant finite-difference schemes for the one-dimensional shallow water equations in the presence of a magnetic field for various bottom topographies are constructed. Based on the results of the group classification recently carried out by the authors,
E. I. Kaptsov, V. A. Dorodnitsyn
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On the Two-phase Fractional Stefan Problem
Advanced Nonlinear Studies, 2020 The classical Stefan problem is one of the most studied free boundary problems of evolution type. Recently, there has been interest in treating the corresponding free boundary problem with nonlocal diffusion.
del Teso Félix +2 more
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Nonlinear EngineeringIn this paper, a distributed–order Caputo fractional derivative is used to represent nonlinear heat wave propagation in rigid thermal conductors using a novel numerical approach. The suggested model takes into consideration memory effects that are a part
Sweilam Nasser H. +4 more
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