Simulation of Hyperbolic Mean Curvature Flow Through the Wave Equation

Vita Kusumasari; Tjang Daniel Chandra; Makbul Muksar; Asmianto; Kridha Pusawidjayanti; Muhammad Fauzan Edy Purnomo

doi:10.1063/5.0309046

Simulation of Hyperbolic Mean Curvature Flow Through the Wave Equation

Vita Kusumasari^*
, Tjang Daniel Chandra
, Makbul Muksar
, Asmianto
, Kridha Pusawidjayanti
, Muhammad Fauzan Edy Purnomo

^*Corresponding author for this work

Faculty of Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

This paper shows a simulation of the curve motion according to hyperbolic mean curvature flow and the wave equation. The hyperbolic mean curvature flow curve motion is simulated with the Hyperbolic MBO (HMBO) Algorithm. In this research, we compare the curve motion solved using the HMBO Algorithm and simulated by the wave equation simulation. We are concerned with non-linear functions as the initial curve. This comparison shows that both curve motions coincide with slight displacement. Thus, this comparison will show the relationship between the curve motion by the hyperbolic mean curvature flow and the wave equation.

Original language	English
Article number	020038
Journal	AIP Conference Proceedings
Volume	3446
Issue number	1
DOIs	https://doi.org/10.1063/5.0309046
Publication status	Published - 20 Nov 2025
Event	5th International Conference on Mathematics and its Applications, ICoMathApp 2024 - Hybrid, Malang, Indonesia Duration: 20 Aug 2024 → 21 Aug 2024

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10.1063/5.0309046

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title = "Simulation of Hyperbolic Mean Curvature Flow Through the Wave Equation",

abstract = "This paper shows a simulation of the curve motion according to hyperbolic mean curvature flow and the wave equation. The hyperbolic mean curvature flow curve motion is simulated with the Hyperbolic MBO (HMBO) Algorithm. In this research, we compare the curve motion solved using the HMBO Algorithm and simulated by the wave equation simulation. We are concerned with non-linear functions as the initial curve. This comparison shows that both curve motions coincide with slight displacement. Thus, this comparison will show the relationship between the curve motion by the hyperbolic mean curvature flow and the wave equation.",

author = "Vita Kusumasari and Chandra, \{Tjang Daniel\} and Makbul Muksar and Asmianto and Kridha Pusawidjayanti and Purnomo, \{Muhammad Fauzan Edy\}",

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AU - Kusumasari, Vita

AU - Chandra, Tjang Daniel

AU - Muksar, Makbul

AU - Asmianto,

AU - Pusawidjayanti, Kridha

AU - Purnomo, Muhammad Fauzan Edy

PY - 2025/11/20

Y1 - 2025/11/20

N2 - This paper shows a simulation of the curve motion according to hyperbolic mean curvature flow and the wave equation. The hyperbolic mean curvature flow curve motion is simulated with the Hyperbolic MBO (HMBO) Algorithm. In this research, we compare the curve motion solved using the HMBO Algorithm and simulated by the wave equation simulation. We are concerned with non-linear functions as the initial curve. This comparison shows that both curve motions coincide with slight displacement. Thus, this comparison will show the relationship between the curve motion by the hyperbolic mean curvature flow and the wave equation.

AB - This paper shows a simulation of the curve motion according to hyperbolic mean curvature flow and the wave equation. The hyperbolic mean curvature flow curve motion is simulated with the Hyperbolic MBO (HMBO) Algorithm. In this research, we compare the curve motion solved using the HMBO Algorithm and simulated by the wave equation simulation. We are concerned with non-linear functions as the initial curve. This comparison shows that both curve motions coincide with slight displacement. Thus, this comparison will show the relationship between the curve motion by the hyperbolic mean curvature flow and the wave equation.

UR - https://www.scopus.com/pages/publications/105023713528

U2 - 10.1063/5.0309046

DO - 10.1063/5.0309046

M3 - Conference article

AN - SCOPUS:105023713528

SN - 0094-243X

VL - 3446

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

IS - 1

M1 - 020038

T2 - 5th International Conference on Mathematics and its Applications, ICoMathApp 2024

Y2 - 20 August 2024 through 21 August 2024

ER -

Simulation of Hyperbolic Mean Curvature Flow Through the Wave Equation

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