Results 41 to 50 of about 1,147,753 (236)
A Two-Dimensional MagnetoHydrodynamics Scheme for General Unstructured Grids [PDF]
, 2007 We report a new finite-difference scheme for two-dimensional magnetohydrodynamics (MHD) simulations, with and without rotation, in unstructured grids with quadrilateral cells.
Adam Burrows +6 more
core +3 more sources
Mathematics, 2023 The article considers an implicit finite-difference scheme for the Duffing equation with a derivative of a fractional variable order of the Riemann–Liouville type.
Valentine Aleksandrovich Kim +2 more
doaj +1 more source
A compact finite difference scheme for variable order subdiffusion equation
Communications in nonlinear science & numerical simulation, 2017 In this paper, we consider a variable order time subdiffusion equation. A Crank-Nicolson type compact finite difference scheme with second order temporal accuracy and fourth order spatial accuracy is presented. The stability and convergence of the scheme
Jianxiong Cao, Yanan Qiu, Guojie Song
semanticscholar +1 more source
Conservative and non-conservative methods based on hermite weighted essentially-non-oscillatory reconstruction for Vlasov equations [PDF]
, 2013 We introduce a WENO reconstruction based on Hermite interpolation both for semi-Lagrangian and finite difference methods. This WENO reconstruction technique allows to control spurious oscillations.
Filbet, Francis, Yang, Chang
core +3 more sources
MATEC Web of Conferences, 2017 Modification of the Lagrange interpolating polynomial (LIP) scheme for using with the finite difference method is proposed. Merits of the modified LIP scheme used with the finite difference method for problem solving are facile to discretize equations ...
Prasopchingchana Uthai
doaj +1 more source
A robust method of lines solution for singularly perturbed delay parabolic problem
Alexandria Engineering Journal, 2020 A numerical method is proposed to solve a non-autonomous singularly perturbed parabolic differential equation with a time delay. The solution is obtained by a step by step discretisation process. First the spatial derivatives are discretised via a fitted
Nana Adjoah Mbroh +2 more
doaj +1 more source
A novel explicit finite difference scheme for partial differential equations
Mathematical Modelling and Analysis, 1999 Most explicit finite difference schemes have very stringent stability criterion. In 1982, Charlie Dey [1] developed a novel method and solved several partial differential equations representing models of fluid flow.
S. K. Dey
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Efficient hedging in Bates model using high-order compact finite differences [PDF]
, 2017 We evaluate the hedging performance of the scheme developed in B. Düring, A. Pitkin, ”High-order compact finite difference scheme for option pricing in stochastic volatility jump models”, 2017.
B Düring, DS Bates, S Salmi
core +2 more sources
, 2018 In this paper, we investigate a fully implicit finite difference scheme for solving the time fractional advection–diffusion equation. The time fractional derivative is estimated using Caputo’s formulation, and the spatial derivatives are discretized ...
S. Mohyud-Din +4 more
semanticscholar +1 more source
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
doaj +1 more source