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Journal of the Indonesian Mathematical Society
Published by Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Mathematics
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
Arjuna Subject : -
Articles 12 Documents
 1   2 
Search results for , issue "Vol. 31 No. 1 (2025): MARCH" : 12 Documents clear
Simulation of Tsunami Waves Generated by Landslide Movements on a Flat Bottom Sulvianuri, Rani; Setyowisnu, Glagah Eskacakra; Pudjaprasetya, Sri Redjeki
Journal of the Indonesian Mathematical Society Vol. 31 No. 1 (2025): MARCH
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i1.1897

Abstract

Disasters like tsunamis are typically triggered by tectonic earthquakes, volcanic eruptions, or landslides. Tsunami waves can hit the coast with enormous energy, causing great damage. This study focuses on landslide-generated wave phenomena; the analytical formula of the linear dispersive model is adopted and used to simulate the development of free surface waves due to bottom landslides. Various types of landslide motion were simulated over a flat bottom depth and the resulting surface wave forms were examined and compared with the far-field leading wave type of solution. In addition, the effect of wave dispersion on the resulting wave pattern was investigated.
Energy and Degree Sum Energy of Non-coprime Graphs on Dihedral Groups Karang, Gusti Yogananda; Wardhana, I Gede Adhitya Wisnu; Alimon, Nur Idayu; Sarmin, Nor Haniza
Journal of the Indonesian Mathematical Society Vol. 31 No. 1 (2025): MARCH
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.v31i1.1900

Abstract

Research on graphs has increasingly garnered attention in recent years.This research focuses on graph representations, with particular emphasis on non-coprime graphs within the dihedral group D_{2n} with n = p^k, prime numbers, $k \in \mathbb{Z}^+$. The non-coprime graph of a group G is defined as a graph in which the vertex set is G \{e}, and two distinct vertices r and s are connected by an edge if gcd(|r|,|s|) =\= 1. Specifically, this research examines the adjacency matrix energy and the degree sum energy of non-coprime graphs on dihedral groups. With the extensive application of chemical topological graphs in the field of chemistry, it is hoped that they can assist in the numerical analysis of chemical compounds used in healthcare, such as the analysis of vaccines for the COVID-19 epidemic.

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