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
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Papers
Book•
13 Dec 2001
TL;DR: Linear finite difference inequalities (LDFE) as mentioned in this paper, nonlinear finite difference inequality (NDFE), linear finite difference equality (LDE), nonlinear FDE, nonlinear LDFE, linear multidimensional FDE (LFDE), and nonlinear multi-dimensional FDE.
Abstract: Linear finite difference inequalities nonlinear finite difference inequalities nonlinear finite difference inequalities II linear multidimensional finite difference inequalities nonlinear multidimensional finite difference inequalities.
89 citations
TL;DR: In this article, the experimental relations for approximating the effective thermophysical properties of a water/MgO-Ag hybrid nanofluid is used to simulate the two dimensional MHD Casson flow past a linearly stretching/shrinking sheet with suction, radiation and convective boundary condition effects.
89 citations
TL;DR: In this article, the authors have numerically solved a benchmark heat transfer nanofluid problem using three different widely used numerical approaches: Finite Element Method (FEM), Lattice Boltzmann Method (LBM) and Finite Difference Method(FDM).
89 citations
TL;DR: In this paper, the phase error in finite-difference (FD) methods is related to the spatial resolution and thus limits the maximum grid size for a desired accuracy, which is typically achieved by defining finer resolutions or implementing higher order methods.
Abstract: The phase error in finite-difference (FD) methods is related to the spatial resolution and thus limits the maximum grid size for a desired accuracy. Greater accuracy is typically achieved by defining finer resolutions or implementing higher order methods. Both these techniques require more memory and longer computation times. In this paper, new modified methods are presented which are optimized to problems of electromagnetics. Simple methods are presented that reduce numerical phase error without additional processing time or memory requirements. Furthermore, these methods are applied to both the Helmholtz equation in the frequency domain and the finite-difference time-domain (FDTD) method. Both analytical and numerical results are presented to demonstrate the accuracy of these new methods.
89 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 53 |
| 2024 | 136 |
| 2023 | 170 |
| 2022 | 357 |
| 2021 | 733 |
| 2020 | 690 |