Modelling and simulation of deformation behaviour during drying using a concept of linear difference method
Sign Up to like & getrecommendations! Published in 2017 at "Wood Science and Technology"
DOI: 10.1007/s00226-017-0897-6
Abstract: This study deals with the development of a two-dimensional model to simulate the deformations in wood samples during the wood drying process for the evaluation of the drying quality. The samples cut from sapwood of… read more here.
Keywords: simulation deformation; deformation; linear difference; simulation ... See more keywords
Unconditional convergence of linearized implicit finite difference method for the 2D/3D Gross-Pitaevskii equation with angular momentum rotation
Sign Up to like & getrecommendations! Published in 2018 at "Science China Mathematics"
DOI: 10.1007/s11425-016-9212-1
Abstract: This paper is concerned with the time-step condition of linearized implicit finite difference method for solving the Gross-Pitaevskii equation with an angular momentum rotation term. Unlike the existing studies in the literature, where the cut-off… read more here.
Keywords: linearized implicit; finite difference; difference method; implicit finite ... See more keywords
A class of efficient difference method for time fractional reaction–diffusion equation
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-018-0579-5
Abstract: The fractional reaction–diffusion equation has profound physical background and theoretical connotation, and its numerical methods are of great scientific significance and practical value. In this paper, a class of explicit–implicit (E–I) difference method and implicit–explicit… read more here.
Keywords: difference; reaction diffusion; diffusion equation; fractional reaction ... See more keywords
A high-order compact difference method for fractional sub-diffusion equations with variable coefficients and nonhomogeneous Neumann boundary conditions
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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
Cell-Centered Finite Difference Method for the One-Dimensional Forchheimer Laws
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-017-0460-5
Abstract: Cell-centered finite difference method is introduced to solve the one-dimensional Forchheimer laws modeling incompressible fluids in porous media. Using this method, velocity and pressure can be approximated at the same time. Second-order accuracy error estimates… read more here.
Keywords: dimensional forchheimer; one dimensional; cell centered; finite difference ... See more keywords
Calculation of λ modes of the multi-group neutron transport equation using the discrete ordinates and Finite Difference Method
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DOI: 10.1016/j.anucene.2019.107077
Abstract: Abstract The method explained in this paper solves the steady-state of the neutron transport equation for 1D and 2D systems modeled with Cartesian geometry, by using the Discrete Ordinates method S N for the angular… read more here.
Keywords: discretization; method; equation; finite difference ... See more keywords
A generalized finite difference method based on the Peridynamic differential operator for the solution of problems in bounded and unbounded domains
Sign Up to like & getrecommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.08.033
Abstract: Abstract In this paper, a generalized finite difference method (GFDM) based on the Peridynamic differential operator (PDDO) is investigated. The weighted moving least square (MLS) procedure involved in the GFDM is replaced by the PDDO.… read more here.
Keywords: based peridynamic; generalized finite; difference method; method ... See more keywords
Generalized finite difference method for two-dimensional shallow water equations
Sign Up to like & getrecommendations! Published in 2017 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2017.03.012
Abstract: Abstract A novel meshless numerical scheme, based on the generalized finite difference method (GFDM), is proposed to accurately analyze the two–dimensional shallow water equations (SWEs). The SWEs are a hyperbolic system of first-order nonlinear partial… read more here.
Keywords: generalized finite; dimensional shallow; method; two dimensional ... See more keywords
A meshless generalized finite difference method for inverse Cauchy problems associated with three-dimensional inhomogeneous Helmholtz-type equations
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DOI: 10.1016/j.enganabound.2017.06.005
Abstract: Abstract The generalized finite difference method (GFDM) is a relatively new domain-type meshless method for the numerical solution of certain boundary value problems. The method involves a coupling between the Taylor series expansions and weighted… read more here.
Keywords: generalized finite; method; type; finite difference ... See more keywords
Improvements to the meshless generalized finite difference method
Sign Up to like & getrecommendations! Published in 2019 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2018.11.002
Abstract: Abstract This study was dedicated to develop an improved version of meshless generalized finite difference method (GFDM) which benefits from various aspects: Present method, uses stars (group of nodes around a central node) with only… read more here.
Keywords: generalized finite; difference method; meshless generalized; method ... 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