High Order Compact Schemes
Implementation of boundary conditions for optimized high order compact schemes
... Introduction The seven-point stencil high-order central compact finite difference schemes for e\,?luation of the first derivatives on interior nodes were optimized in the wavenumber doma[r] ...
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High Order Compact Scheme and the Moving Mesh Method for Helmholtz Equation with Variable Wave Numbers
... The compact finite difference scheme has been extensively studied for solving the Helmholtz equation on the behalf of high order accuracy on small ...of high-order compact ...
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A high order compact scheme for hypersonic aerothermodynamics
... novel high order compact scheme for solving the compressible Navier-Stokes equations has been ...of high order compact ...
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One dimensional high order compact method for solving Euler’s equations
... other schemes from 1 st -order to 3 rd -order and 5 th -order in all test ...Leer schemes has the least value of absolute error percentage when compared with the other ...- order ...
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Compact higher-order gas-kinetic schemes with spectral-like resolution for compressible flow simulations
... nonlinear compact WENO recon- struction has been constructed as ...other compact schemes, the current compact GKS is fully local and has explicit high-order discretization, with- ...
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High-order Compact Iterative Scheme for the Two-dimensional Time Fractional Cable Equation
... variable order fractional cable equation with fourth order spatial accuracy, Zhang et ...implicit schemes for the solution of two-dimensional fractional cable equation with second-order of ...
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A new family of high-order difference schemes for the solution of second order boundary value problems
... This type of problem occurs in many fields of science and engineering (see [6, 31, 32]). As pointed out in [32], usual numerical treatment of singular-perturbation problems gives major computational difficulties. This ...
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Numerical solution of the Falkner Skan equation using third order and high order compact finite difference schemes
... third- order boundary value problem arising in boundary-layer theory) using high-order and high-order-compact finite differences ...Two high-order schemes ...
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Exponential basis and exponential expanding grids third (fourth) order compact schemes for nonlinear three dimensional convection diffusion reaction equation
... nineteen-point high-order compact formula- tion for three space dimensional linear elliptic PDEs with variable coefficients is described in ...fourth-order compact formulation on variable ...
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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 diffusion ...
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High Order Central Schemes Applied to Relativistic Multi Component Flow Models
... the high- resolution staggered central schemes to solve these ...rent schemes can handle strong shocks and the oscillations near the interfaces are negligible, which usually happens in the ...
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On the Behavior of Combination High Order Compact Approximations with Preconditioned Methods in the Diffusion Convection Equation
... A high-order compact scheme in combination precondi- tioner was applied successfully to Diffusion- Convection ...methods. High- order approximation are designed by the need to produce ...
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A High Order Compact ADI Method for Solving 3D Unsteady Convection Diffusion Problems
... use high order finite difference methods [4-14, 17-23, ...implicit high order compact difference schemes for solving 1D and 2D unsteady convection diffusion equations have been ...
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A brief review on the convergence to steady state solutions of Euler equations with high-order WENO schemes
... WENO schemes is studied extensively ...WENO schemes of higher orders of ...A high-order upwind-biased weighted interpolation is proposed to obtain the physical values in the middle of two grid ...
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Comparison of Finite Difference Schemes for the Wave Equation Based on Dispersion
... In order to get better accuracy at low computational cost, researchers have attempted to develop higher order methods by improving other lower order ...a high degree of numerical ...higher ...
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High order of accuracy difference schemes for the inverse elliptic problem with Dirichlet condition
... difference schemes for this problem have been constructed in []. High order of accuracy stable difference schemes for nonlocal bound- ary value elliptic problems are presented in ...
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High-order finite difference schemes and Toeplitz based preconditioners for elliptic problems
... In order to see this, consider the distributional results found in [36] where we prove that the number of PCG iterations to reach the solution within a fixed accuracy, ∆ n (m, ...
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On the numerical solution of hyperbolic IBVP with high-order stable finite difference schemes
... For the solution of difference equation (), we use exactly the same method that we have used for the solution of difference equation (). Thus, using the formulas and matrices above, the fourth order of ...
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AHO schemes for Dissipative Hyperbolic Systems
... some schemes which are increasingly accurate for large times, with respect to the asymptotic behavior of ...in order to get better results for large time simu- lations when computing perturbations of non ...
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Comparative Analysis of Dimensionality Reduction Techniques for Machine Learning
... In recent face-related research topics, especially for face recognition and facial age estimation, dimensionality reduction (DR) plays a tremendous important role not only because features of these two topics are hard to ...
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