Finite Difference MethodBastian E. RappMicrofluidics: Modelling, Mechanics and Mathematics
必应词典为您提供finite-differencemethod的释义,网络释义: 有限差分法;有限差分方法;有限差法;
场和边界 我们把上述方程转化为一个场(field)。试想存在一维(因为ϕϕ仅与一个变量有关)直线,线上有若干等距分布的结点(node),每个结点都有唯一的ϕϕ,那么ϕϕ和xx的关系满足上述方程。 内部结点满足方程,那么边界上的ϕ(xL)ϕ(xL)和ϕ(xR)ϕ(xR)呢?事实上,边界应是内部结点的延申,即边...
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This section describes the formulation and methodology of finite difference method to solve the governing equations on a computational domain.The finite difference method is the oldest method for the numerical solution of partial differential equations. It is also the easiest to formulate and program ...
4、 methodFinite difference method (our focus)Converts PDE into matrix equationResult is usually a sparse matrixMatrix-based algorithms represent matrices explicitlyMatrix-free algorithms represent matrix values implicitly (our focus)Linear Second-order PDEsLinear second-order PDEs are of the formwhere ...
In the FD method, a computational domain is covered by a space–time grid, that is, by a set of discrete grid positions in space and time. The functions describing a wavefield as well as those describing material properties of the medium are represented by their values at the grid positions...
stochastic FEMunidirectional problemselasticity problemsthin‐walled elastic structurescritical moment, determinationelastodynamics with finite differencesadvection–diffusionboundary value problems, on 2D gridsPoisson equationAnalysis of the Unidirectional Problems Analysis of Boundary Value Problems on 2D Grids...
A numerical method based on finite difference for solving fractional delay dif- ferential equations. J. Taibah Univ. Sci. 2013;7(3):120- 127.B.P. Moghaddam, Z.S. Mostaghim, A numerical method based on finite difference for solving fractional delay differential equations, J. Taibah Univ....
A particle velocity-stress, finite-difference method is developed for the simulation of wave propagation in 2-D heterogeneous poroelastic media. Instead of the prevailing second-order differential equations, the authors consider a first-order hyperbolic system that is equivalent to Biot`s equations. Th...