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[PDF] Top 20 One dimensional high order compact method for solving Euler’s equations

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One dimensional high order compact method for solving
Euler’s equations

One dimensional high order compact method for solving Euler’s equations

... Splitting Method) that has the accuracy of FDS schemes and the robustness and efficiency of FVS ...this method, the inviscid flux at a cell interface is split into a convective contribution, upwinded in the ... See full document

13

A new exponential Jacobi pseudospectral method for solving high order ordinary differential equations

A new exponential Jacobi pseudospectral method for solving high order ordinary differential equations

... pseudospectral method in conjunction with the operational matrix of differentiation of exponential Jacobi functions to obtain numerical solutions of high-order ordinary differential equations on ... See full document

15

An efficient high order compact finite difference scheme based on proper orthogonal decomposition for the multi dimensional parabolic equation

An efficient high order compact finite difference scheme based on proper orthogonal decomposition for the multi dimensional parabolic equation

... parabolic equations such as proliferation of gas, the penetration of liquids, heat conduction and spread of impurities in semicon- ductor ...difference method, finite element method, finite volume ... See full document

22

Wavelet regularization of a Fourier-Galerkin method   for solving the 2D incompressible Euler equations

Wavelet regularization of a Fourier-Galerkin method for solving the 2D incompressible Euler equations

... By computing the flow evolution starting from the randomly generated initial condition (10), we obtain the vorticity field at t = 50 for methods (i), (ii), (v) and (vi), shown in Fig. 6. As above, the reference vorticity ... See full document

19

A higher order blended compact difference (BCD) method for solving the general 2D linear second order partial differential equation

A higher order blended compact difference (BCD) method for solving the general 2D linear second order partial differential equation

... accuracy order of solution for those problems with non-periodic boundary ...Our method is decoupled, ...to high-dimensional ...with high precision and for their boundary ...present ... See full document

21

A high order compact scheme for hypersonic aerothermodynamics

A high order compact scheme for hypersonic aerothermodynamics

... novel high order compact scheme for solving the compressible Navier-Stokes equations has been ...a method originally proposed for solving the Euler ... See full document

10

A Fast High Order Algorithm for 3D Helmholtz Equation with Dirichlet Boundary

A Fast High Order Algorithm for 3D Helmholtz Equation with Dirichlet Boundary

... different high order finite difference schemes and proposed a more efficient algorithm in [14, ...difference method to high and variable wave number with CARP-CG algorithm in [16, ...for ... See full document

8

High-order Compact Iterative Scheme for the Two-dimensional Time Fractional Cable Equation

High-order Compact Iterative Scheme for the Two-dimensional Time Fractional Cable Equation

... a high-order compact scheme for the solution of the two-dimensional time fractional cable ...fourth-order compact Crank-Nicolson approximation is used for the space derivative to ... See full document

8

A Fourth-order Singly Diagonally Implicit Runge-Kutta Method for Solving One-dimensional Burgers’ Equation

A Fourth-order Singly Diagonally Implicit Runge-Kutta Method for Solving One-dimensional Burgers’ Equation

... quadrature method in solving Burgers’equations,” Communications in Theoretical Physics, ...and S. Fu, “A fourth-order method of the convection-diffusion equations with Neumann ... See full document

7

A modified flux-wave formula for the solution of one-dimensional Euler equations with gravitational source term

A modified flux-wave formula for the solution of one-dimensional Euler equations with gravitational source term

... In order to examine the effectiveness of modified flux-wave approach (MFW) for the solution of the one dimensional Euler equations, in this section sev- eral numerical test cases are ... See full document

14

Discussion of Direct Numerical Simulation Method for Supercritical Carbon Dioxide Jet Flow

Discussion of Direct Numerical Simulation Method for Supercritical Carbon Dioxide Jet Flow

... simulation method suitable for supercritical carbon dioxide jet flow has been discussed in this ...Navier-Stokes equations in a two-dimensional cartesian coordinate system is derived in ...detail. ... See full document

8

A high order numerical scheme using orthogonal spline collocation for solving the two dimensional fractional reaction–subdiffusion equation

A high order numerical scheme using orthogonal spline collocation for solving the two dimensional fractional reaction–subdiffusion equation

... (OSC) method has developed into a robust and valu- able technique for solving many kinds of partial differential equations ...difference method [39] and the Galerkin finite method [40], ... See full document

23

A Numerical Method for Solving Fuzzy Differential Equations With Fractional Order

A Numerical Method for Solving Fuzzy Differential Equations With Fractional Order

... fractional Euler method. The nu- merical method for solving FFDE is an area not yet widely investigated, in this paper we intro- duce a Predictor-Corrector method for solving ... See full document

7

NEW ITERATIVE METHOD FOR SOLVING HIGHER ORDER KDV EQUATIONS

NEW ITERATIVE METHOD FOR SOLVING HIGHER ORDER KDV EQUATIONS

... Iterative Method has been successfully used for obtaining the analytic solutions for Lax equations and Sawada-Kotera KdV equations of fifth and seventh ... See full document

12

Solving high order nonlinear Volterra Fredholm integro differential equations by differential transform method

Solving high order nonlinear Volterra Fredholm integro differential equations by differential transform method

... The basic definition and the fundamental theorems of the differential transformation and its applicability for various kinds of differential and integral equations are given in [19-22]. For convenience of the ... See full document

7

A High Order Compact ADI Method for Solving 3D Unsteady Convection Diffusion Problems

A High Order Compact ADI Method for Solving 3D Unsteady Convection Diffusion Problems

... for solving the 2D unsteady convection diffusion problems, which is temporally second order, spatially fourth order and unconditionally ...difference method for the 3D unsteady convection ... See full document

10

Convergence analysis of pseudo-transient continuation

Convergence analysis of pseudo-transient continuation

... the Euler and Navier-Stokes equations [10, 23], we have noted that a tc method based on a consistent high-order Jacobian stumbles around with a nonmonotonic steady- state residual norm ... See full document

16

High order locally one dimensional methods for solving two dimensional parabolic equations

High order locally one dimensional methods for solving two dimensional parabolic equations

... higher order difference schemes for the one-dimensional linear hyperbolic ...approximation method for solving space fractional Fokker–Planck ...for solving differential ... See full document

17

Solving nonlinear Volterra integro differential equations of fractional order by using Euler wavelet method

Solving nonlinear Volterra integro differential equations of fractional order by using Euler wavelet method

... the Euler wavelet operational matrix method to solve the nonlinear Volterra integro-differential equations of fractional ...The Euler wavelet is first presented and it is constructed by ... See full document

16

A New Halley’s Family of Third-Order Methods For Solving Nonlinear Equations

A New Halley’s Family of Third-Order Methods For Solving Nonlinear Equations

... higher order methods. (FG) denotes fifth order method of Fang for Fang and ...fifth order method of Noor and al. method (algorithm ...Ham’s method (formula (10), (11), ... See full document

8

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