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, a numerical method is given for the solution of the probability density function of the response process of memoryless one-and two-state dynamical systems having polynomial restoring forces and which are subjected to a combination of Gaussian and Poisson white noises.
78 citations
TL;DR: In this article, two stable numerical methods are presented to solve the self-induction equation of vortex theory, which are validated by comparison with known exact solutions, and the approximate solutions are shown to converge to the exact solution.
78 citations
TL;DR: In this article, a two-point boundary value problem whose highest order term is a Caputo fractional derivative of order δ∈(1, 2) is considered and Al-Refai's comparison principle is improved and modified to fit the problem.
Abstract: A two-point boundary value problem whose highest order term is a Caputo fractional derivative of order δ∈(1, 2) is considered. Al-Refai's comparison principle is improved and modified to fit our problem. Sharp a priori bounds on derivatives of the solution u of the boundary value problem are established, showing that u″(x) may be unbounded at the interval endpoint x=0. These bounds and a discrete comparison principle are used to prove pointwise convergence of a finite difference method for the problem, where the convective term is discretized using simple upwinding to yield stability on coarse meshes for all values of δ. Numerical results are presented to illustrate the performance of the method.
78 citations
TL;DR: In this paper, a numerical approach for the solution of the four Maxwell's equations is presented, based on a finite difference Yee lattice, which transforms each of these equations into an equivalent matrix expression that can be subsequently treated by matrix mathematics and suitable numerical methods for solving matrix problems.
78 citations
TL;DR: In this paper, the authors developed an algorithm based on an explicit finite difference formulation of energy balance of the PV-PCM system, which can be used to determine the thermal behavior of a solar cell coupled with a phase change material (PCM) heat storage device.
78 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 53 |
| 2024 | 136 |
| 2023 | 170 |
| 2022 | 357 |
| 2021 | 733 |
| 2020 | 690 |