Results 31 to 40 of about 241,782 (323)
Applied Mathematics in Science and Engineering, 2023 In this study, a high-order compact finite difference method is used to solve Lane–Emden equations with various boundary conditions. The norm is to use a first-order finite difference scheme to approximate Neumann and Robin boundary conditions, but that ...
James Malele +2 more
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On Secrecy Rate Analysis of MIMO Wiretap Channels Driven by Finite-Alphabet Input [PDF]
, 2012 This work investigates the effect of finite-alphabet source input on the secrecy rate of a multi-antenna wiretap system. Existing works have characterized maximum achievable secrecy rate or secrecy capacity for single and multiple antenna systems based ...
Bashar, Shafi +2 more
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High-order compact schemes for parabolic problems with mixed derivatives in multiple space dimensions [PDF]
, 2015 We present a high-order compact finite difference approach for a rather general class of parabolic partial differential equations with time and space dependent coefficients as well as with mixed second-order derivative terms in n spatial dimensions ...
Düring, Bertram, Heuer, Christof
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Invariant compact finite difference schemes
, 2019 In this paper, we propose a method, that 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 PDEs are used to ...
Ozbenli, Ersin, Vedula, Prakash
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ON COMPACT 4TH ORDER FINITE-DIFFERENCE SCHEMES FOR THE WAVE EQUATION
Mathematical Modelling and Analysis, 2021 We consider compact finite-difference schemes of the 4th approximation order for an initial-boundary value problem (IBVP) for the n-dimensional nonhomogeneous wave equation, n≥ 1. Their construction is accomplished by both the classical Numerov approach and alternative technique based on averaging of the equation, together with further necessary ...
Alexander Zlotnik, Olga Kireeva
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Advances in Difference Equations, 2018 This paper proposes and analyzes an efficient compact finite difference scheme for reaction–diffusion equation in high spatial dimensions. The scheme is based on a compact finite difference method (cFDM) for the spatial discretization.
Rongpei Zhang +3 more
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Multigrid Method for Solution of 3D Helmholtz Equation Based on HOC Schemes
Abstract and Applied Analysis, 2014 A higher order compact difference (HOC) scheme with uniform mesh sizes in different coordinate directions is employed to discretize a two- and three-dimensional Helmholtz equation.
Fazal Ghaffar, Noor Badshah, Saeed Islam
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Fractal and Fractional, 2022 This paper designs a new finite difference compact reconstruction unequal-sized weighted essentially nonoscillatory scheme (CRUS-WENO) for solving fractional differential equations containing the fractional Laplacian operator.
Yan Zhang, Jun Zhu
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Eighth-Order Compact Finite Difference Scheme for 1D Heat Conduction Equation [PDF]
Advances in Numerical Analysis, 2016 The purpose of this paper is to develop a high-order compact finite difference method for solving one-dimensional (1D) heat conduction equation with Dirichlet and Neumann boundary conditions, respectively. A parameter is used for the direct implementation of Dirichlet and Neumann boundary conditions. The introduced parameter adjusts the position of the
Asma Yosaf +4 more
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Revisiting the spectral analysis for high-order spectral discontinuous methods [PDF]
, 2016 The spectral analysis is a basic tool to characterise the behaviour of any convection scheme. By nature, the solution projected onto the Fourier basis enables to estimate the dissipation and the dispersion associated with the spatial discretisation of ...
Boussuge, Jean-François +4 more
core +3 more sources