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: Comparisons with the experimental results and other numerical results are all in satisfactory agreement, indicating that the present HPC method is a promising method in solving potential-flow problems.
121 citations
TL;DR: In this paper, the Peyrard-Bishop DNA dynamic model equation is studied analytically by hyperbolic and exponential ansatz methods and numerically by finite difference method.
Abstract: In this work, we introduce a numerical and analytical study of the Peyrard-Bishop DNA dynamic model equation. This model is studied analytically by hyperbolic and exponential ansatz methods and numerically by finite difference method. A comparison between the results obtained by the analytical methods and the numerical method is investigated. Furthermore, some figures are introduced to show how accurate the solutions will be obtained from the analytical and numerical methods.
121 citations
TL;DR: In this paper, a solution method for the one-dimensional transient temperature and thermal stress fields in non-homogeneous materials is established, where finite element method is used to space discretize, which results in a system of first-order differential equations.
121 citations
TL;DR: In this paper, a linear implicit finite difference scheme for solving the generalized time fractional burgers equation is proposed, which is shown to be globally stable and convergent, and the finite difference method is proved to be unconditional globally stable.
121 citations
TL;DR: This paper develops a fast alternating-direction implicit finite difference method for space-fractional diffusion equations in two space dimensions that has a significant reduction of the CPU time from more than 2 months and 1 week consumed by a traditional finite Difference method to 1.5h, using less than one thousandth of memory the standard method does.
121 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 53 |
| 2024 | 136 |
| 2023 | 170 |
| 2022 | 357 |
| 2021 | 733 |
| 2020 | 690 |