A high‐order compact scheme for solving the 2D steady incompressible Navier‐Stokes equations in general curvilinear coordinates
Sign Up to like & getrecommendations! Published in 2020 at "International Journal for Numerical Methods in Fluids"
DOI: 10.1002/fld.4791
Abstract: In this paper, a high‐order compact finite difference algorithm is established for the stream function‐velocity formulation of the two‐dimensional steady incompressible Navier‐Stokes equations in general curvilinear coordinates. Different from the previous work, not only the… read more here.
Keywords: order compact; steady incompressible; order; navier stokes ... See more keywords
High-Order Compact Difference Methods for Caputo-Type Variable Coefficient Fractional Sub-diffusion Equations in Conservative Form
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DOI: 10.1007/s10915-018-0647-4
Abstract: A set of high-order compact finite difference methods is proposed for solving a class of Caputo-type fractional sub-diffusion equations in conservative form. The diffusion coefficient of the equation may be spatially variable, and the proposed… read more here.
Keywords: order; diffusion; difference methods; order compact ... See more keywords
A high-order compact difference method for fractional sub-diffusion equations with variable coefficients and nonhomogeneous Neumann boundary conditions
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0992-4
Abstract: In a recent paper, Ren and Liu proposed and analyzed a high-order compact finite difference method for a class of fractional sub-diffusion equations with variable coefficients and nonhomogeneous Neumann boundary conditions. In this paper, we… read more here.
Keywords: order compact; diffusion equations; high order; sub diffusion ... See more keywords
Development of a high-order compact finite-difference total Lagrangian method for nonlinear structural dynamic analysis
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DOI: 10.1016/j.apm.2018.06.049
Abstract: Abstract A high-order compact finite-difference total Lagrangian method (CFDTLM) is developed and applied to nonlinear structural dynamic analysis. The two-dimensional simulation of thermo-elastodynamics is numerically performed in generalized curvilinear coordinates by taking into account the… read more here.
Keywords: methodology; order; order compact; method ... See more keywords
Analysis of a high-order compact finite difference method for Robin problems of time-fractional sub-diffusion equations with variable coefficients
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DOI: 10.1016/j.apnum.2020.05.023
Abstract: Abstract This paper is concerned with the construction and analysis of a high-order compact finite difference method for a class of time-fractional sub-diffusion equations under the Robin boundary condition. The diffusion coefficient of the equation… read more here.
Keywords: order; time fractional; order compact; time ... See more keywords
Study of optical modal index for semi conductor rib wave guides using higher order compact finite difference method
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DOI: 10.1016/j.ijleo.2016.12.002
Abstract: Abstract In this paper, a higher order compact finite difference method in combination with conjugate gradient iteration scheme has been used for optical modal index study of four different semi conductor rib wave guide structures… read more here.
Keywords: order compact; higher order; method; compact finite ... See more keywords
On high-order compact schemes for the multidimensional time-fractional Schrödinger equation
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DOI: 10.1186/s13662-020-02946-w
Abstract: In this article, some high-order compact finite difference schemes are presented and analyzed to numerically solve one- and two-dimensional time fractional Schrödinger equations. The time Caputo fractional derivative is evaluated by the L 1 and… read more here.
Keywords: order; fractional schr; time fractional; order compact ... See more keywords
High-Order Compact Difference Method for Solving Two- and Three-Dimensional Unsteady Convection Diffusion Reaction Equations
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DOI: 10.3390/axioms11030111
Abstract: In this paper, a type of high-order compact (HOC) finite difference method is developed for solving two- and three-dimensional unsteady convection diffusion reaction (CDR) equations with variable coefficients. Firstly, an HOC difference scheme is derived… read more here.
Keywords: dimensional unsteady; method; three dimensional; order compact ... See more keywords