Fourth Order Compact Scheme
An extrapolation full multigrid algorithm combined with fourth order compact scheme for convection–diffusion equations
... a fourth-order compact difference discretization of two-dimensional (2D) convection diffusion ...the fourth-order accurate numerical solutions are obtained, a simple method based on the ...
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Fourth-order numerical solution of a fractional PDE with the nonlinear source term in the electroanalytical chemistry
... high order difference scheme for the solution of a fractional partial differential equation (PDE) in the electroanalytical ...proposed scheme we discretize the space derivative with a ...
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Combined Compact Difference Scheme for Solving Unsteady Convection Diffusion Equations
... method. Compact difference scheme as a kind of finite difference method is getting more and more attention due to its advantages with fewer grid points and higher ...three-fourth order ...
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High-order Compact Iterative Scheme for the Two-dimensional Time Fractional Cable Equation
... ‘A fourth- order compact solution of the two-dimensional modified anomalous fractional sub-diffusion equation with a nonlinear source term’, Computers & Mathematics with Applications, 66 (8), ...
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A high-accuracy compact conservative scheme for generalized regularized long-wave equation
... linear- compact difference scheme for the GRLW equation is ...the scheme and the estimate of the difference ...the fourth-order convergence and stability of the scheme are proved ...
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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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Compact difference scheme for two dimensional fourth order hyperbolic equation
... two-dimensional fourth-order hyperbolic equation. Firstly, the fourth-order equation is written as a system of two second-order equations by introducing two new ...in order to ...
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Non-polynomial Spline Method for Solving Coupled Burgers Equations
... on fourth order accurate compact ADI scheme by Radwan [2], Khater et al [3] studied Burgers’ equations by using A Chebyshev spectral collocation method, Ali et al proposed the algorithm for ...
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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 ...high-order compact finite difference ...accuracy compact difference method has attracted ...
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Non-uniform HOC Scheme for the 3D Convection–Diffusion Equation
... high order compact (HOC) finite difference (FD) schemes, which are computationally ...of fourth- order compact (4OC) finite difference schemes for convection diffusion equations on ...
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Maximum norm error estimates of fourth order compact difference scheme for the nonlinear Schrödinger equation involving a quintic term
... a compact finite difference scheme is constructed for the nonlinear Schrödinger equation involving a quintic ...and fourth order accurate in time and space, ...
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Compact higher-order gas-kinetic schemes with spectral-like resolution for compressible flow simulations
... stage fourth-order MSMD technique is used for the 4th-order temporal ...cell, compact nonlinear and linear 6th-order and 8th-order spatial reconstructions will be designed for ...
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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
... a fourth order compact difference scheme to solve the steady Navier-Stokes ...a fourth order scheme was applied on the uniform com- putational ...a fourth ...
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A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations
... difference scheme is always regarded as one of the effective methods to solve partial differential equations due to its simple form and easiness to be understood and ...high-order compact finite ...
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An ausm based third order compact scheme for solving Euler Equations
... a fourth-order cell-centered compact scheme to calculate higher-order numerical flux at a cell ...through compact adaptive interpolation in the spirit of ENO [8] ...
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An improved expanding and shift scheme for the construction of fourth-order difference co-arrays
... non-stationarity, fourth-order difference co-arrays can be constructed for underdetermined DOA estimation with further in- creased DOFs [15, 16, 17, 18, 19, 20, 21, 22, ...for fourth-order ...
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Numerical simulation of a variable-density mixing-layer
... This insertion and removal procedure is effective along the isopycnic lines only. This is not fully satisfactory since the spacing between vortices in the direction normal to the isopycnic line is subjected to excursions ...
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Second-Order Hierarchical Fast Terminal Sliding Model Control for a Class of Underactuated Systems Using Disturbance Observer
... of fourth-order underactuated systems. In the first step, the fourth-order underactuated system is divided into two subsystems, and the integral sliding surface is designed for each ...
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A Spatial Sixth Order Finite Difference Scheme for Time Fractional Sub-diffusion Equation with Variable Coefficient
... convergence order for the difference schemes. In [35], Wang established a compact finite difference method with convergence order O(τ 3 − α + τ 2 + h 4 ) (here 1 < α < 2) for a class of time ...
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Several compact local stencils based on integrated RBFs for fourth-order ODEs and PDEs
... neighbour. It was observed in [Kansa (1990a)] that, as the RBF width increases, the numerical error of the RBF solution reduces and the condition number of the interpolant grows. At large values of β , one needs to pay ...
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