[PDF] Top 20 The Best Finite Difference Scheme for the Helmholtz Equation
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The Best Finite Difference Scheme for the Helmholtz Equation
... Note, that when C 0 one of the boundary condi- tions (2.5), (2.6) is assumed to be homogeneous. For Laplace’s equation we always can leads to equation with homogeneous boundary conditions by change of ... See full document
6
The Solution of Instability Phenomenon Arising in Homogeneous Porous Media by Crank-Nicolson Finite Difference Method
... differential equation for one-dimensional instability phenomenon arising in homogeneous porous medium during secondary oil recovery ...this equation has been obtained by using Crank-Nicolson scheme ... See full document
11
Multigrid method based on transformation free high order scheme for solving 2D Helmholtz equation on nonuniform grids
... The Helmholtz equation is solved by FEM and spectral-element method, but the limitations of these methods are of high computa- tional cost ...the Helmholtz equation suffer due to their slow ... See full document
16
A Spatial Sixth Order Finite Difference Scheme for Time Fractional Sub-diffusion Equation with Variable Coefficient
... diffusion equation is usually used for modeling this movement ...the finite element method [16,17], the meshless method [18,19], the finite difference method [20-30], the Bernstein ... See full document
7
A new high order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation
... ADI scheme, based on the Douglas–Gunn ADI scheme combined with second-order Strang splitting technique, is proposed for solving 3D nonlinear Schrödinger ... See full document
15
An efficient high order compact finite difference scheme based on proper orthogonal decomposition for the multi dimensional parabolic equation
... A large number of numerical examples have proved that the proper orthogonal decom- position (POD) is a powerful technique offering the adequate approximation for numerical models with fewer unknowns, which means that the ... See full document
22
Analysis of an Il’in Scheme for a System of Singularly Perturbed Convection Diffusion Equations
... Il’in scheme for discretization of a singularly perturbed differential equation are well conditioned respect to the upwind finite difference method applied on Shiskin or Bakhvalov ... See full document
8
On the convergence of a finite difference scheme for a second order differential equation containing nonlinearly a first derivative
... a finite difference scheme which approximates a second order differential ...this scheme is zero-stable means that consistency, itself, implies ...simple finite difference ... See full document
8
An optimized finite difference Crank Nicolson iterative scheme for the 2D Sobolev equation
... OFDCNI scheme and the existing POD-based reduced-order extrapolating FDCN schemes (see, ...Sobolev equation not only includes the time first-order derivative term and the spacial variables second-order ... See full document
12
A finite difference scheme based on cubic trigonometric B splines for a time fractional diffusion wave equation
... our scheme with those obtained in [] at time t = ...our scheme gives much better ...our scheme is more accurate and gives accuracy of – ... See full document
18
Approximate Solution For Time-Space Fractional Soil Moisture Diffusion Equation And Its Application
... implicit finite difference method for time-space fractional soil moisture diffusion equation ...the scheme and generate the discrete model. Also, we prove the scheme is unconditionally ... See full document
6
A Crank–Nicolson finite difference scheme for the Riesz space fractional order parabolic type sine Gordon equation
... CNFD scheme for the RSFOPTSGEs (1)–(3) and theoretical analysis of the stability and convergence and error estimates for the CNFD solutions are faced with more difficulties and require more techniques than the ... See full document
7
Numerical Study of Fisher’s Equation by Finite Difference Schemes
... Mathematics equation by element free Galerkin ...Fisher’s equation. Fisher’s equation is studied numerically by Chandraker [13], also Tomasiello studied numerical stability of differential quadrature ... See full document
17
Online Full Text
... mixing finite difference scheme is applied to a simplified 2-D quasilinear unsteady biharmonic ...differential equation is defined with subject to initial and boundary conditions, but no ... See full document
7
Finite difference scheme for multi term variable order fractional diffusion equation
... The remainder of the paper is organized as follows. In Sect. 2, we give some preliminar- ies, which is necessary for our following analysis. A finite difference scheme for equations (1)–(3) is proposed, and the ... See full document
13
A new conservative nonlinear high-order compact finite difference scheme for the general Rosenau-RLW equation
... letting h vary and fixing the time step size τ sufficiently small to avoid contamination of the temporal. Table shows the numerical results when τ = , , h = , h = , h = , and h = , . ... See full document
16
A Reduced-Order Extrapolating Finite Difference Iterative Scheme for 2D Generalized Nonlinear Sine-Gordon Equation
... FD scheme for the 2D generalized nonlinear Sine-Gordon ...Sine-Gordon equation, employing the POD technique to build a reduced-order extrapolating finite difference iterative (ROEFDI) ... See full document
7
High Order Finite Difference Method for Helmholtz Equation in Polar Coordinates
... two-dimensional Helmholtz equation with Dirichlet and Neumann boundary conditions in polar ...compact finite difference ap- proximation to the Helmholtz ...holtz equation in ... See full document
13
Approximation of the Huxley equation with nonstandard finite-difference scheme
... Nonlinear partial differential equations (PDEs) play an important role in the various fields of physical science and engineering such as plasma physics, fluid mechanics, optimal fibbers, solid state physics, chemical ... See full document
20
On the Conservative Finite Difference Scheme for the Generalized Novikov Equation
... governing equation for water waves [2]. Analogous to the CH equation, the DP equation also possessed an infinite number of conservation laws, bi-Hamiltonian structure, peaked solitons ... See full document
15
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