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.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: In this article, the authors analyzed the order of convergence of Yee's finite difference time domain method on non-uniform, but rectangular, grids and proved that the method is always second order convergent.
Abstract: In this paper we analyze the order of convergence of Yee's finite difference time domain method on non-uniform, but rectangular, grids. A simple analysis shows that the local truncation error is only first order, yet numerical experiments show that the method is always second order convergent. However, by analyzing the error in more detail, we are able to prove supra-convergence and show that the method is second order convergent regardless of the non-uniformity in the mesh. >
84 citations
TL;DR: In this paper, the authors scrutinized slip effects and stagnation point flows of upper-convected Maxwell fluid past a stretching sheet and solved the nonlinear ordinary differential equations obtained from the governing partial differential equations and solved using implicit finite difference method.
84 citations
TL;DR: In this article, the authors investigated the effect of the position and aspect ratio of a heated plate on heat transfer and flow in a square cavity with a heating plate built-in vertically and horizontally.
84 citations
TL;DR: In this article, a hybrid finite-difference time-domain (FDTD) method was proposed for solving transient electromagnetic problems associated with structures of curved surfaces, which employs the conventional FDTD method for most of the regular region but introduces the tetrahedral edge-based finite-element scheme to model the region near the curved surfaces.
Abstract: A hybrid finite-difference time-domain (FDTD) method is proposed for solving transient electromagnetic problems associated with structures of curved surfaces. The method employs the conventional FDTD method for most of the regular region but introduces the tetrahedral edge-based finite-element scheme to model the region near the curved surfaces. Without any interpolation for the fields on the curved surface, nor any additional stability constraint due to the finer division near the curved surfaces, the novel finite-element scheme is found to have second-order accuracy, unconditional stability, programming ease, and computational efficiency. The hybrid method is applied to solve the electromagnetic scattering of three-dimensional (3-D) arbitrarily shaped dielectric objects to demonstrate its superior performance.
84 citations
TL;DR: In this paper, a high-order and accurate method is proposed for solving the unsteady two-dimensional Schrodinger equation, which combines a compact finite difference approximation of fourth-order for discretizing spatial derivatives and a boundary value method for the time integration of the resulting linear system of ordinary differential equations.
84 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 53 |
| 2024 | 136 |
| 2023 | 170 |
| 2022 | 357 |
| 2021 | 733 |
| 2020 | 690 |