Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Seokjun Ham"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 26671-26687 (2024)
In this study, we proposed a normalized time-fractional diffusion equation and conducted a numerical investigation of the dynamics of the proposed equation. We discretized the governing equation by using a finite difference method. The proposed norma
Externí odkaz:
https://doaj.org/article/853e55a788024eca8c86b747ae160e0c
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 19332-19344 (2024)
The Allen-Cahn (AC) model is a mathematical equation that represents the phase separation process. The AC equation has numerous applications in various disciplines, such as image processing, physics, and biology. It models phase transitions, such as
Externí odkaz:
https://doaj.org/article/1df5067a7fa946669aede4c25cee3f1e
Publikováno v:
AIMS Mathematics, Vol 9, Iss 2, Pp 5015-5027 (2024)
Image segmentation is the process of partitioning an image into homogenous regions, and represents one of the most fundamental and important procedures in image processing. Image denoising is a process to remove unwanted noise from a digital image, e
Externí odkaz:
https://doaj.org/article/b8620910e0fa43ffb5d3844dbfb33eed
Publikováno v:
AIMS Mathematics, Vol 9, Iss 1, Pp 735-762 (2024)
In this paper, we propose an explicit spatially fourth-order accurate compact scheme for the Allen-Cahn equation in one-, two-, and three-dimensional spaces. The proposed method is based on the explicit Euler time integration scheme and fourth-order
Externí odkaz:
https://doaj.org/article/8a6b9337685a4ab2b18079a7d796498f
Autor:
Chaeyoung Lee, Sangkwon Kim, Soobin Kwak, Youngjin Hwang, Seokjun Ham, Seungyoon Kang, Junseok Kim
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 27528-27541 (2023)
A fingerprint is the unique, complex pattern of ridges and valleys on the surface of an individual's fingertip. Fingerprinting is one of the most popular and widely used biometric authentication methods for personal identification because of its reli
Externí odkaz:
https://doaj.org/article/0e580cb2e4b8414689f5bd713f49e3f5
Publikováno v:
Electronic Research Archive, Vol 31, Iss 8, Pp 5104-5123 (2023)
In this study, we present an efficient and novel unconditionally stable Monte Carlo simulation (MCS) for solving the multi-dimensional Allen–Cahn (AC) equation, which can model the motion by mean curvature flow of a hypersurface. We use an operator
Externí odkaz:
https://doaj.org/article/7002c289ecf84a81a3fa902a3661eaf3
Publikováno v:
Electronic Research Archive, Vol 31, Iss 9, Pp 5396-5405 (2023)
In this study, we investigate a maximum principle of the Fourier spectral method (FSM) for diffusion equations. It is well known that the FSM is fast, efficient and accurate. The maximum principle holds for diffusion equations: A solution satisfying
Externí odkaz:
https://doaj.org/article/ff58ecd931704388815f4250293d47b6
Publikováno v:
Electronic Research Archive, Vol 31, Iss 8, Pp 4557-4578 (2023)
In this paper, we propose a novel, simple, efficient, and explicit numerical method for the Allen–Cahn (AC) equation on effective symmetric triangular meshes. First, we compute the net vector of all vectors starting from each node point to its one-
Externí odkaz:
https://doaj.org/article/a3acd173bc34463a8a1731a165362a4a
Publikováno v:
Journal of Mathematics, Vol 2023 (2023)
In this article, we develop an unconditionally stable numerical scheme for the modified Fisher–Kolmogorov–Petrovsky–Piscounov (Fisher–KPP) equation modeling population dynamics in two-dimensional space. The Fisher–KPP equation models the pr
Externí odkaz:
https://doaj.org/article/44517015a1094abca252b1a68c78e479
Publikováno v:
AIP Advances, Vol 12, Iss 2, Pp 025203-025203-7 (2022)
In this study, we propose an unconditionally stable temporally second-order accurate scheme for a parabolic sine-Gordon equation. The proposed scheme is based on an operator splitting method. We solve linear and nonlinear equations using a Fourier sp
Externí odkaz:
https://doaj.org/article/dce348fd54eb40fb9ae924455e0b4f6d