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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. 1 (2020)" : 11 Documents clear
A New Hybrid Approach for Solving Large-scale Monotone Nonlinear Equations Jamilu Sabi'u; Abdullah Shah; Mohammed Yusuf Waziri; Muhammad Kabir Dauda
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 1 (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.2020.52.1.2

Abstract

In this paper, a new hybrid conjugate gradient method for solving monotone nonlinear equations is introduced. The scheme is a combination of the Fletcher-Reeves (FR) and Polak-Ribiére-Polyak (PRP) conjugate gradient methods with the Solodov and Svaiter projection strategy. Using suitable assumptions, the global convergence of the scheme with monotone line search is provided. Lastly, a numerical experiment was used to enumerate the suitability of the proposed scheme for large-scale problems.
Metal-Organic Frameworks Based on Zinc(II) and Benzene-1,3,5-Tricarboxylate Modified Graphite: Fabrication and Application as an Anode Material in Lithium-Ion Batteries Witri Wahyu Lestari; Wulan Cahya Inayah; Fitria Rahmawati; Larasati Larasati; Agus Purwanto
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 1 (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.2020.52.1.6

Abstract

This research was aimed at synthesizing metal-organic frameworks (MOFs) based on zinc(II) and a benzene-1,3,5-tricarboxylate (BTC) linker in combination with graphite as anode material in lithium-ion batteries. The MOFs were prepared using sonochemical and solvothermal methods, which led to different materials: [Zn3(BTC)2·12H2O] (MOF 1) and [Zn(BTC)·H2O·3DMF] (MOF 2). The produced materials were characterized by powder X-ray diffraction (PXRD), Fourier transform infrared spectroscopy (FTIR), scanning electron microscopy (SEM), thermogravimetric/differential thermal analysis (TG/DTA), and a battery analyzer. Refinement of the XRD data was performed using the Rietica and Le Bail method. Sharp and intense peaks indicated that the materials had a high degree of crystallinity. The morphology of the materials as analyzed by SEM was cubic, with an average crystal size of 8.377 ± 4.276 µm for MOF 1 and a larger size of 16.351 ± 3.683 µm for MOF 2. MOF 1 was thermally stable up to 378.7 °C while MOF 2 remained stable up to 341.8 °C, as demonstrated by thermogravimetric analysis. The employment of the synthesized materials as anode in a lithium ion battery was proved to yield higher specific capacity and cycle stability compared to those using a graphite anode. The lithium-ion battery with 5 wt% MOF 1 exhibited the highest performance with an efficiency of 97.28%, and charge and discharge specific capacities of 123.792 and 120.421 mAh/g, respectively.
A New Type of Coincidence and Common Fixed-Point Theorems for Modified 𝛂-Admissible 𝓩-Contraction Via Simulation Function Sahil Arora; Manoj Kumar; Sanjay Mishra
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 1 (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.2020.52.1.3

Abstract

In this manuscript, we introduce the concept of modified α-admissible contraction with the help of a simulation function and use this concept to establish some coincidence and common fixed-point theorems in metric space. An illustrative example that yields the main result is given. Also, several existing results within the frame of metric space are established. The main theorem was applied to derive the coincidence and common fixed-point results for α-admissible 𝒵-contraction.
Preliminary Studies of Cassava Leaves’ Ability to Remove Dyes from Water Chairunnisa Chairunnisa; Yuni Lisafitri
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 1 (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.2020.52.1.5

Abstract

Low-cost adsorbents from cassava leaves (CLP) were prepared by simply washing the leaf powder with deionized water. The adsorption of methylene blue (MB) from the aqueous solution was measured in order to examine the adsorbent performance. The effect of the pH of the solution was studied by varying pH from 2 to 10. The kinetics of MB adsorption onto CLP followed the pseudo-second-order kinetic model with a k-value of 0.087907 g mg-1 min-1 and 0.094081 g mg-1 min-1 for CLP before and after washing, respectively. The adsorption isotherm for both adsorbents followed the Langmuir isotherm model with qm values of 178.5 mg g-1 and 243.9 mg g-1. The existence of disturber ions was investigated by adding NaCl into the MB solutions at a variety of concentrations.
A Mathematical Model to Study the Effects of Breastfeeding and Vaccination on Rotavirus Epidemics Sherif Eneye Shuaib; Pakwan Riyapan
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 1 (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.2020.52.1.4

Abstract

In this article, we formulate and analyze a mathematical model including breastfeeding and vaccination to study the transmission dynamics of rotavirus epidemics. The model is divided into five compartmental classes, namely, the susceptible compartment S(t); the breastfeeding compartment M(t); the vaccinated compartment V(t); the infected compartment I(t); and the recovered compartment R(t). To understand the threshold of infection, the basic reproduction number relating to breastfeeding and vaccination, denoted as Rvm, is computed. The results show that if Rvm<1, the disease-free equilibrium is globally asymptotically stable. Similarly, if Rvm>1, global asymptotic stability of the endemic equilibrium exists. Numerical simulations were carried out to support the model analysis and to examine the effects of breastfeeding and vaccination on rotavirus epidemics. The model fits well with real data to predict the infected population in real life. The analysis and numerical results of the model confirm that the combination of vaccination and breastfeeding is more effective in reducing the spread of rotavirus epidemics.
On Size Bipartite and Tripartite Ramsey Numbers for The Star Forest and Path on 3 Vertices Anie Lusiani; Edy Tri Baskoro; Suhadi Wido Saputro
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 1 (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.2020.52.1.1

Abstract

For simple graphs G and H the size multipartite Ramsey number mj(G,H) is the smallest natural number t such that any arbitrary red-blue coloring on the edges of Kjxt contains a red G or a blue H as a subgraph. We studied the size tripartite Ramsey numbers m3(G,H) where G=mK1,n and H=P3. In this paper, we generalize this result. We determine m3(G,H) where G is a star forest, namely a disjoint union of heterogeneous stars, and H=P3. Moreover, we also determine m2(G,H) for this pair of graphs G and H.
Glycosaminoglycans Content and Type II Collagen Localization in Chondrogenic Differentiation of Adipose-Derived Mesenchymal Stem Cells Induced by L-Ascorbic Acid 2-Phosphate Anggraini Barlian; Ni Luh Wisma Eka Yanti
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 1 (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.2020.52.1.7

Abstract

L-ascorbic acid 2-phosphate (LAA) is known to induce chondrocyte differentiation. The objective of this study was to analyze the potency of LAA in chondrogenic differentiation of adipose-derived mesenchymal stem cells (ADSC) by analyzing the glycosaminoglycans (GAG) content and type II collagen (Coll2) localization. ADSC was characterized using flow cytometry and cultured in media containing various concentrations of LAA (0, 25, 50, 100 μg/mL) for 2, 3 and 4 weeks. Coll2 localization was analyzed by immunocytochemistry (ICC) using a confocal microscope. The quantification of GAG was performed by Alcian Blue staining and calcium deposition by Alizarin Red S staining. The results showed that ADSC was positive for mesenchymal stem cell (MSC) markers. Coll2 was localized in the cytoplasm and showed increasing abundance along with the increase of the LAA concentration. The highest intensity of Coll2 localization was shown in LAA 100 μg/mL. ADSC in LAA induction medium showed higher GAG content compared to the control group (LAA 0 μg/mL) (p < 0.05). The highest calcium deposit was shown by LAA 25 μg/mL after 4 weeks of culture (p < 0.05) and it decreased at higher concentrations. In conclusion, LAA 100 μg/mL is considered the optimum LAA concentration for chondrogenic differentiation.
One-sided Downward Control Chart for Monitoring the Multivariate Coefficient of Variation with VSSI Strategy XinYing Chew; Khai Wah Khaw
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 1 (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.2020.52.1.8

Abstract

In recent years, control charts monitoring the coefficient of variation (CV), denoted as the ratio of the variance to the mean, is attracting significant attention due to its ability to monitor processes in which the process mean and process variance are not independent of each other. However, very few studies have been done on charts to monitor downward process shifts, which is important since downward process shifts show process improvement. In view of the importance of today's competitive manufacturing environment, this paper proposes a one-sided chart to monitor the downward multivariate CV (MCV) with variable sample size and sampling interval (VSSI), i.e. the VSSID MCV chart. This paper monitors the MCV as most industrial processes simultaneously monitor at least two or more quality characteristics, while the VSSI feature is incorporated, as it is shown that this feature brings about a significant improvement of the chart. A Markov chain approach was adopted for designing a performance measure of the proposed chart. The numerical comparison revealed that the proposed chart outperformed existing MCV charts. The implementation of the VSSID MCV chart is illustrated with an example.
Cover Vol. 52, No. 1, 2020 JMFS JMFS
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 1 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

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Abstract

Front Matter Vol. 52, No. 1, 2020 JMFS JMFS
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 1 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

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