Topic
Finite difference method
About: Finite difference method is a research topic. Over the lifetime, 21603 publications have been published within this topic receiving 468852 citations. The topic is also known as: Finite-difference methods & FDM.
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TL;DR: In this paper, the authors constructed reliable finite difference methods for approximating the solution to Maxwell's equations using accurate discrete analogs of differential operators that satisfy the identities and theorems of vector and tensor calculus in discrete form.
154 citations
TL;DR: An implicit and an explicit difference methods for the FR-subDE, a fractional reaction–subdiffusion equation in which both the motion and the reaction terms are affected by the subdiffusive character of the process.
154 citations
TL;DR: In this article, it is shown that the micropolar medium is a continuum approximation to large grid frameworks under initial axial forces, and the finite difference method, which is one possible means for the analysis of the overall behavior of a large framework, is investigated and found to give rather accurate results using much fewer unknowns than the exact analysis.
154 citations
TL;DR: In this article, a modified finite volume method for solving Maxwell's equations in the time domain is presented, which allows the use of general nonorthogonal mixed-polyhedral grids, is a direct generalisation of the canonical staggered-grid finite difference method.
Abstract: A modified finite volume method for solving Maxwell's equations in the time-domain is presented. This method, which allows the use of general nonorthogonal mixed-polyhedral grids, is a direct generalisation of the canonical staggered-grid finite difference method. Employing mixed polyhedral cells, (hexahedral, tetrahedral, etc.) this method allows more accurate modeling of non-rectangular structures. The traditional “stair-stepped” boundary approximations associated with the orthogonal grid based finite difference methods ate avoided. Numerical results demonstrating the accuracy of this new method are presented.
154 citations
TL;DR: In this paper, a hybrid approach combining the conventional finite difference (FD) scheme and the mesh-free least square-based finite difference method (MLSFD) was proposed to simulate the two-dimensional steady and unsteady incompressible flows.
154 citations