High Order Compact Finite Difference Scheme
A Reduced High-order Compact Finite Difference Scheme Based on Proper Orthogonal Decomposition for the Generalized Kuramoto-Sivashinsky Equation
... Crank-Nicolson-type finite difference scheme for KS equation with periodic boundary ...the high- order compact finite difference scheme to simulate the KS ...
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An efficient high order compact finite difference scheme based on proper orthogonal decomposition for the multi dimensional parabolic equation
... the compact finite difference scheme (CFDS), which has been widely used in numerical solution of various types of par- tial differential ...provided high-order CFDS to solve parabolic ...
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A new conservative nonlinear high-order compact finite difference scheme for the general Rosenau-RLW equation
... difference scheme for the general Rosenau-RLW equation was ...difference scheme for the general Rosenau-RLW equation which was uncondi- tionally stable and second-order convergent and simulates ...
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High Order Finite Difference Method for Helmholtz Equation in Polar Coordinates
... A finite difference method was proposed to solve the parabolic equation in polar coordinates in ...a high-order compact difference scheme for the Helmholtz ...novel ...
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A fourth order accurate quasi variable mesh compact finite difference scheme for two space dimensional convection diffusion problems
... upwind scheme and a central difference operator result in an unstable solu- tion and are deficient in computational ...wind scheme and central ...The compact scheme amongst the various ...
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A generalised finite difference scheme based on compact integrated radial basis function for flow in heterogeneous soils
... generalised finite difference approach based on compact integrated radial basis function (CIRBF) stencils for solv- ing highly nonlinear Richards equation governing fluid movement in hetero- geneous ...
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High Order Compact Difference Scheme and Multigrid Method for 2D Elliptic Problems with Variable Coefficients and Interior/Boundary Layers on Nonuniform Grids
... fourth order compact difference scheme to solve the steady Navier-Stokes ...HOC finite difference schemes for steady convection dif- fusion equation on uniform ...fourth ...
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A compact finite difference method for reaction–diffusion problems using compact integration factor methods in high spatial dimensions
... double compact scheme on a number of test ...our scheme for a linear reaction–diffusion equation with exact ...new scheme by comparison with other methods such as the second-order ...
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Prediction of Better Flow Control Parameters in MHD Flows Using a High Accuracy Finite Difference Scheme
... of high order numerical schemes in curvilinear ...semi- compact high order scheme and concluded that the scheme is capable of capturing the physical phenomena ...a ...
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Fourth order compact finite difference method for solving two dimensional convection–diffusion equation
... a compact finite difference scheme is desired to solve lots of differential equations numerically ...developing high-order compact finite difference ...the high accuracy ...
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Non-uniform HOC Scheme for the 3D Convection–Diffusion Equation
... on high order compact (HOC) finite difference (FD) schemes, which are computationally ...fourth- order compact (4OC) finite difference schemes for convection ...
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High-order Compact Iterative Scheme for the Two-dimensional Time Fractional Cable Equation
... example, Finite difference method, Finite element method, Finite volume method, Adomian Decomposition method [6-10] ...methods, Finite difference method has seen more in the ...
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A new high order compact ADI finite difference scheme for solving 3D nonlinear Schrödinger equation
... ADI scheme and a new HOC-ADI scheme for the 3D LS equation, and the stability of the standard Douglas–Gunn ADI scheme and the new HOC-ADI scheme is investi- ...splitting scheme and the ...
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A High Order Accurate MultiGrid Pressure Correction Algorithm for Incompressible Navier-Stokes Equations
... appropriate finite compact centered schemes on stag- gered grids, a fourth-order accuracy in space was obtained in ...fourth order accurate numerical method, is not able to model properly ...
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High-accuracy Alternating Difference Scheme for the Fourth-order Diffusion Equation
... parallel difference scheme for the fourth-order diffusion equation is ...asymmetric difference schemes, a high-order, unconditionally stable and parallel alternating group ...
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Some non monotone schemes for Hamilton-Jacobi-Bellman equations
... L α (x, t, p, X) = − tr [a α (x)X] − b α (x)p + c α (x)t − f α (x). (2) where a, b, c, f are at least continuous functions on R N × A with values in S(N ) the space of symmetric N × N matrices, R N , R and R ...
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The Best Finite Difference Scheme for the Helmholtz Equation
... The finite-difference method is a standard numerical method for solving boundary value ...exact) difference approximation for some ordi- nary and partial differential equations ...best ...
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A Reduced-Order Extrapolating Finite Difference Iterative Scheme for 2D Generalized Nonlinear Sine-Gordon Equation
... and finite element and finite volume element methods as well as Galerkin spectral methods) have been widely applied in the numerical computations for PDEs (see, ...reduced- order numerical solutions ...
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Sixth order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition
... Equations (1)–(2) are a mathematical model describing the acoustic scattering that con- trols the wave propagation and scattering phenomena occurring in many fields. When the wave number k is large, the solution of the ...
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Fourth order finite difference scheme and efficient algorithm for nonlinear fractional Schrödinger equations
... difference scheme is proposed and a fast algorithm is designed to simulate the nonlinear fractional Schrödinger (FNLS) equation oriented from the fractional quantum ...difference scheme has the optimal ...
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