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: It is demonstrated that relaxation algorithms for the determination of the lowest-order modes of a refractive-index profile are identical to imaginary-distance propagation procedures.
Abstract: We demonstrate that relaxation algorithms for the determination of the lowest-order modes of a refractive-index profile are identical to imaginary-distance propagation procedures.
139 citations
TL;DR: In this paper, the post-divergence behavior of extensible fluid-conveying pipes supported at both ends is studied using the weakly nonlinear equations of motion of Semler, Li and Paidoussis.
139 citations
TL;DR: The newly proposed method is based on the Hopf–Cole transformation, which transforms the original nonlinear Burgers’ equation into a linear heat equation, and transforms the Dirichlet boundary condition into the Robin boundary condition, which leads to an implicit fourth-order compact finite difference scheme.
138 citations
TL;DR: Finite difference method solution of diffusion equations, including analyses of stability and truncation errors as mentioned in this paper, was used to solve the problem of diffusion diffusion equations in a finite difference method.
Abstract: Finite difference method solution of diffusion equations, including analyses of stability and truncation errors
137 citations
1 May 1995
TL;DR: A new finite element method in the time domain based on the Whitney forms gives a direct way to solve Maxwell equations in general unstructured meshes.
Abstract: A new finite element method in the time domain based on the Whitney forms is presented. Using edge elements and face elements for space discretization of the fields and a leap-frog scheme in time, the algorithm gives a direct way to solve Maxwell equations in general unstructured meshes. >
136 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 53 |
| 2024 | 136 |
| 2023 | 170 |
| 2022 | 357 |
| 2021 | 733 |
| 2020 | 690 |