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Journal of Mathematical and Fundamental Sciences
Published by Institut Teknologi Bandung
ISSN : 23375760     EISSN : 23385510     DOI : https://doi.org/10.5614/j.math.fund.sci.
Core Subject : Science, Education,
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics
Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, Biology, Health, Medical, Pharmacy), Mathematics, Physics, and Statistics.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 11 Documents
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Search results for , issue "Vol. 52 No. 3 (2020)" : 11 Documents clear
A Predictor-Corrector Scheme for Conservation Equations with Discontinuous Coefficients Nasrin Okhovati; Mohammad Izadi
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 3 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.3.6

Abstract

In this paper we propose an explicit predictor-corrector finite difference scheme to numerically solve one-dimensional conservation laws with discontinuous flux function appearing in various physical model problems, such as traffic flow and two-phase flow in porous media. The proposed method is based on the second-order MacCormack finite difference scheme and the solution is obtained by correcting first-order schemes. It is shown that the order of convergence is quadratic in the grid spacing for uniform grids when applied to problems with discontinuity. To illustrate some properties of the proposed scheme, numerical results applied to linear as well as non-linear problems are presented.
On Subspace-ergodic Operators Mansooreh Moosapoor
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 3 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.3.5

Abstract

In this paper, we define subspace-ergodic operators and give examples of these operators. We show that by any given separable infinite-dimensional Banach space, subspace-ergodic operators can be constructed. We demonstrate that an invertible operator T is subspace-ergodic if and only if T-1 is subspace-ergodic. We prove that the direct sum of two subspace-ergodic operators is subspace-ergodic and if the direct sum of two operators is subspace-ergodic, then each of them is subspace-ergodic. Also, we investigate relations between subspace-ergodic and subspace-mixing operators. For example, we show that if T is subspace-mixing and invertible, then Tn and T-n are subspace-ergodic for n∈ℕ.
Optimal Parameters for Nonlinear Hirota-Satsuma Coupled KdV System by Using Hybrid Firefly Algorithm with Modified Adomian Decomposition Omar Saber Qasim; Karam Adel Abed; Ahmed F. Qasim
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 3 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.3.7

Abstract

In this paper, several parameters of the non-linear Hirota-Satsuma coupled KdV system were estimated using a hybrid between the Firefly Algorithm (FFA) and the Modified Adomian decomposition method (MADM). It turns out that optimal parameters can significantly improve the solutions when using a suitably selected fitness function for this problem. The results obtained show that the approximate solutions are highly compatible with the exact solutions and that the hybrid method FFA_MADM gives higher efficiency and accuracy compared to the classic MADM method.
Statistical Forecast of Daily Maximum Air Temperature in Arid Areas at Summertime Monim Al-Jiboori; Mahmoud Jawad Abu Al-Shaeer; Ahemd S. Hassan
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 3 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.3.8

Abstract

Based on historical observations of summers for the period from 2004 to 2018 with a focus on daily maximum and minimum air temperatures and wind speed recorded at 0600 GMT, a non-linear regression hypothesis is developed for forecasting daily maximum air temperature (Tmax) in arid areas such as Baghdad International airport station, which has a hot climate with no cloud cover or rain. Observations with dust storm events were excluded, thus this hypothesis could be used to predict daily Tmax on any day during summers characterized by fair weather. Using mean annual daily temperature range, daily minimum temperature, and the trend of maximum temperature with wind speed, Tmax was forecasted and then compared to those recorded by meteorological instruments. To improve the accuracy of the hypothesis, daily forecast errors, bias, and mean absolute error were analyzed to detect their characteristics through calculating relative frequencies of occurrence. At the end of this analysis, a value of (-0.45ºC) was added to the hypothesis as a bias term.
Comparative Study of the Dynamics of Cosmic Rays for the Pakistan and China Atmospheric Regions Faisal Nawaz; Bulbul Jan; Faisal Ahmed Khan Afridi; M. Ayub Khan Yousufzai; Faraz Mehmood
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 3 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.3.1

Abstract

This paper presents an analysis of cosmic ray intensity in Pakistan air space using spatial interpolation, comparing it with Chinese cosmic ray records from 1984 to 1993. The Exploratory Data Analytic (EDA) approach was applied to compare the cosmic ray fluctuations in both countries. The time series plot of the monthly cosmic rays showed relatively flatter counts in Pakistan than in China. The cosmic ray data for the years 1984 to 1993 fell within Solar Cycle 22, which lasted from 1986 to 1996, with its maximum phase in 1989 to 1991. The cosmic radiation varies between the atmospheric regions of Pakistan and China due to modulations in intensity that are accessible accordingly. It can be explained by purely astrophysical phenomena: (1) the source of emission of cosmic radiation may be different, (2) the rate at which emanation takes place depends on bursts of deep space dynamical objects from their sources that may be affected by solar wind and other solar radiations. Therefore, modulations in intensity are not only due to different geophysical locations. This study will help government organizations to predict and forecast cosmic rays values.
Molecular modeling on the identification of potential Janus Kinase 3 (JAK3) inhibitor based on the Indonesian Medicinal Plant Database Muhammad Arba; Sanang Nur Safitri; Andry Nur Hidayat; Arry Yanuar; Muhammad Sulaiman Zubair; Asmiyenti Djaliasrin Djalil; Daryono Hadi Tjahjono
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 3 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.3.2

Abstract

The Janus tyrosine kinases (JAKs) have shown great promise as therapeutic protein targets in the treatment of cancer and inflammation diseases. This study used pharmacophore modeling to identify potential inhibitors of Janus kinase 3 (JAK3). A pharmacophore model was developed based on a known JAK3 inhibitor (1NX) and was employed to search for potential JAK3 inhibitors against Indonesian herbal compounds. Among 28 hit molecules that were identified and subjected to a molecular docking protocol against JAK3, the three compounds that had the highest affinities toward JAK3 were camelliaside B, 3-O-galloylepicatechin-(4beta-6)-epicatechin-3-O-gallate, and mesuaferrone B. These were then each subjected to a 50-ns molecular dynamics (MD) simulation. Analysis of RMSD and RMSF values indicated that the three compounds reached stability during the MD simulation. Interestingly, all three compounds had lower binding energies than 1NX against JAK3, as predicted by the MM-PBSA binding energy calculation.
Serum Level of IL-6, Reactive Oxygen Species and Cortisol in Patients with Recurrent Aphthous Stomatitis related Imbalance Nutrition Intake and Atopy Nanan Nur'aeny; Dida Akhmad Gurnida; Oki Suwarsa; Irna Sufiawati
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 3 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.3.3

Abstract

One of the most common oral ulcerations is recurrent aphthous stomatitis (RAS), affecting approximately 20% of the general population worldwide. The etiology of RAS is still unclear but it is considered to be multifactorial, including imbalanced nutrition intake and allergic conditions such as atopy. The purpose of this study was to investigate the differences and correlation between the serum level of IL-6, reactive oxygen species (ROS), and cortisol in RAS patients. Our study was cross-sectional and used a consecutive sampling method. There were significant differences of IL-6 and ROS levels in all groups (p = 0.000, p = 0.049 respectively) and a significant correlation between cortisol and ROS in the RAS group without atopy (r = -0.985, p = 0.015). Serum IL-6 and ROS measurement may be used for detecting RAS caused by malnutrition or atopy but not cortisol for patients without psychological stress detected. This is consistent with the results of a very strong correlation with a negative value between cortisol and ROS in RAS without atopy.
Improved Variational Iteration Solutions to the SIR Model of Dengue Fever Disease for the Case of South Sulawesi Sudi Mungkasi
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 3 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.3.4

Abstract

The susceptible-infected-recovered (SIR) model of the spread of dengue fever for the case of South Sulawesi is considered. Rangkuti's variational iteration method (RVIM) is recalled. This paper makes four contributions. The first one is to provide a successive approximation method (SAM) for solving the considered model. The second one is to show that SAM and RVIM are identical. Thirdly, a modification of RVIM is proposed. Fourthly, it is shown that the modification leads to an improvement of the accuracy of the method. Both RVIM and the improved version are quite accurate for short time periods. However, the improved version is more accurate and is able to provide more realistic explicit solutions to the model.
Cover Vol. 52, No. 3, 2020 Journal of Mathematical and Fundamental Sciences
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 3 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Front Matter Vol. 52, No. 3, 2020 Journal of Mathematical and Fundamental Sciences
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 3 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

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