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 paper, an analytical model to describe the three-dimensional temperature field was established for a finite plate with a Gaussian heat source moving at a constant velocity, and the effects of the laser forming parameters on the temperature distributions were also studied, using the established model.
82 citations
TL;DR: In this article, it was shown that failure to take these singularities into account leads to large errors in the finite-difference solution of the time-domain electromagnetic field equations.
Abstract: When the electromagnetic-field equations are solved in a region with a corner, singularities in the field or in its spatial derivatives will be present at these corners. These singularities cause the load truncation error in a finite-difference approximation of the field equations to be unbounded. In this paper it is shown that failing to take these singularities into account leads to large errors in the finite-difference solution of the time-domain electromagnetic-field equations. A simple method is described to account for these singularities while retaining the simplicity of the finite-difference formulation. Numerical results are given that demonstrate the accuracy obtained when our technique is used.
82 citations
TL;DR: In this article, a full implicit continuous Eulerian (FICE) scheme is developed for solving multidimensional transient MHD flow problems, where the boundary conditions are treated by classifying them into physical and computational ones.
82 citations
TL;DR: In this article, a kinetic theory of fatigue surface cracking processes is presented, which takes fully into account the crack coalescence phenomenon and derives a balance equation for the crack density function in a one dimensional phase space similar to the Boltzmann equation for gases.
Abstract: This paper presents a kinetic theory of fatigue surface cracking processes that takes fully into account the crack coalescence phenomenon. We derive a balance equation for the crack density function in a one dimensional phase space similar to the Boltzmann equation for gases. The equation is solved numerically by a finite- difference method and the results are compared with a more classical Monte-Carlo simulation. The fatigue life probability distribution is calculated by assuming that failure occurs when cracks larger than a given critical size appear.
82 citations
TL;DR: In this paper, a linearized implicit finite difference method to obtain numerical solution of the one-dimensional regularized long-wave (RLW) equation is presented, and the performance and accuracy of the method are illustrated by solving three test examples of the problem: a single solitary wave, two positive solitary waves, and an undular bore.
Abstract: A linearized implicit finite difference method to obtain numerical solution of the one-dimensional regularized long-wave (RLW) equation is presented. The performance and the accuracy of the method are illustrated by solving three test examples of the problem: a single solitary wave, two positive solitary waves interaction, and an undular bore. The obtained results are presented and compared with earlier work.
82 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 53 |
| 2024 | 136 |
| 2023 | 170 |
| 2022 | 357 |
| 2021 | 733 |
| 2020 | 690 |