Results 51 to 60 of about 1,089,385 (313)
Unconditionally Stable Difference Scheme for the Numerical Solution of Nonlinear Rosenau-KdV Equation [PDF]
Mathematics Interdisciplinary Research, 2016 In this paper we investigate a nonlinear evolution model described by the Rosenau-KdV equation. We propose a three-level average implicit finite difference scheme for its numerical solutions and prove that this scheme is stable and convergent in the ...
Akbar Mohebbi, Zahra Faraz
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Structural stability of finite dispersion-relation preserving schemes
, 2008 The goal of this work is to determine classes of travelling solitary wave solutions for a differential approximation of a finite difference scheme by means of a hyperbolic ansatz.
Ablowitz +16 more
core +1 more source
Advances in Differential Equations, 2018 A finite difference scheme, based upon the Crank–Nicolson scheme, is applied to the numerical approximation of a two-dimensional time fractional non-Newtonian fluid model.
Yanqin Liu +3 more
semanticscholar +1 more source
Bistable Mechanisms 3D Printing for Mechanically Programmable Vibration Control
Advanced Engineering Materials, EarlyView.This work introduces a 3D‐printed bistable mechanism integrated into tuned mass dampers (TMDs) for mechanically adaptive passive vibration suppression. Through optimized geometry, the bistable design provides adaptable vibration reduction across a broad range of scenarios, achieving effective vibration mitigation without complex controls or external ...
Ali Zolfagharian +4 more
wiley +1 more source
A Predictor-Corrector Scheme for Conservation Equations with Discontinuous Coefficients
Journal of Mathematical and Fundamental Sciences, 2020 In this paper we propose an explicit predictor-corrector finite difference scheme to numerically solve one-dimensional conservation laws with discontinuous flux function appearing in various physical model problems, such as traffic flow and two-phase ...
Nasrin Okhovati, Mohammad Izadi
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, 2015 We present domain decomposition finite element/finite difference method for the solution of hyperbolic equation. The domain decomposition is performed such that finite elements and finite differences are used in different subdomains of the computational ...
Beilina, L.
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Theoretical Optimization of Finite Difference Schemes
, 2006 The aim of this work is to develop general optimization methods for finite difference schemes used to approximate linear differential equations. The specific case of the transport equation is exposed. In particular, the minimization of the numerical error is taken into account.
David, Claire, Sagaut, Pierre
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Construction of invariant compact finite-difference schemes [PDF]
Physical Review E, 2020 In this paper we propose a method, which is based on equivariant moving frames, for development of high-order accurate invariant compact finite-difference schemes that preserve Lie symmetries of underlying partial differential equations. In this method, variable transformations that are obtained from the extended symmetry groups of partial differential
E. Ozbenli, P. Vedula
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Dynamic Precipitation during High‐Pressure Torsion of a Magnesium–Manganese Alloy
Advanced Engineering Materials, EarlyView.An ultrafine‐grained alloy is produced by high‐pressure torsion of solutionized Mg–1.35 wt% Mn. Precipitation of nanometer‐scale Mn particles during deformation provides pinning sites. This prevents the formation of a bimodal grain structure and results in a finer grain size than for pure Mg.
Julian M. Rosalie, Anton Hohenwarter
wiley +1 more source
Some estimates for a special linear difference parabolic equation
Mathematical Modelling and Analysis, 1997 The finite‐difference scheme for a special linear parabolic equation is investigated. A priori estimates for such finite‐difference scheme are derived in the difference analogues of norm on Banach function spaces V2 and W 2 2,1. First Published Online:
Artūras Štikonas
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