Article Per Year (5 Year)
p-Index From 2021 - 2026
0.659
P-Index
This Author published in this journals
All Journal Jurnal Matematika Journal of the Indonesian Mathematical Society Rangkiang Mathematics Journal
Sulvianuri, Rani
Unknown Affiliation
Mathematics Other

Published : 3 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 3 Documents
Search

 1 
Implementasi Numerik Berbagai Kondisi Batas pada Persamaan Air Dangkal Menggunakan Metode Elemen Hingga Terbaru Konformal dan Non-Konformal Swastika, Pt Veri; Sulvianuri, Rani; Gautama, I Putu Winada
Jurnal Matematika Vol 14 No 1 (2024)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2024.v14.i01.p168

Abstract

In this paper, we extend the capability of a newly developed numerical scheme based on our preceding linear conformal and non-conformal finite element methods (FEM) to study 2D shallow water equations (SWE) with various boundaries. Unlike usual approach, we approximate the unknown in a staggered grid due to the use of linear alternating basis. Here, the free surface is approximated using a conformal while the velocity potential is approximated using a non-conformal linear basis. As a result, the varational problem must be reformulated. The resulting scheme is a ODE system which is easy to solve by any time integration method. Therefore, our method is staggered in space, explicit, flexible and simple to implement. The simulation results show that the flexibility of the scheme can be interpreted as the successful use of various boundary conditions. Keywords: 2D SWE, staggered finite element, non-conformal basis, influx boundary
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.
Analysis of Nonlinear Oscillation Models with External Forcing Using the Multiple Scales Method Safira, Ayuni Kemala; Sa’adah, Aminatus; Sulvianuri, Rani; Agnesia, Yoli
Rangkiang Mathematics Journal Vol. 5 No. 1 (2026): Rangkiang Mathematics Journal
Publisher : Department of Mathematics, Universitas Negeri Padang (UNP)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/rmj.v5i1.138

Abstract

Nonlinear effects accompanied by external forces can cause the behaviour of the system to become more complex and difficult to explain using linear analysis. Therefore, analytical methods are needed to obtain approximate solutions. This paper presents an analysis of approximate solutions to nonlinear oscillation models subject to periodic external forces. The analysis was conducted using the Multiple Scales Method, a perturbation technique for obtaining asymptotic solutions to nonlinear differential equations. This approach is carried out by introducing several time scales and developing solutions as series in ε. The differential equations that model the system are analysed to orders.  and to obtain approximate solutions that describe the oscillation dynamics of the system. The analysis was performed under two main conditions: when the external force frequency approached the system's natural frequency (main resonance) and when the two were not close. In the non-resonance condition, several special cases were also examined: non-resonant, superharmonic resonance, subharmonic resonance, and low excitation frequency. The results show that first-order asymptotic solutions agree well with numerical solutions. The system response is influenced by parameters such as the amplitude and frequency of the external force, as well as the damping parameter. These findings support further research on more complex nonlinear systems and have practical applications in the design of vibration absorbers and rotating mechanical components to control resonance and improve system stability.
Co-Authors Agnesia, Yoli Ayuni Kemala Safira I PUTU WINADA GAUTAMA Sa’adah, Aminatus Setyowisnu, Glagah Eskacakra Sri Redjeki Pudjaprasetya, Sri Redjeki Swastika, Pt Veri