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Journal of Mathematical and Fundamental Sciences Vol. 48 Issue 2 2016

Vol. 48 No. 2 (2016)

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Explore peer-reviewed research articles published in this issue.

researchpp. 106–114

Multifractal Characterization of Pore Size Distributions of Peat Soil

This paper discusses a multifractal analysis of the microscopic structure of peat soil. The aim of this study was to apply the multifractal technique to analyze the properties of five slices of peat soil (L1-L5). Binary images (220 x 220 pixels, with a conversion value of 9.41 μm/pixel) were made from the thin slices and then analyzed. This analysis was conducted to obtain the relationship between physical parameters and complexity parameters. The results showed that the spectrum of f(α) can describe well the pore size distribution and average size of pores correlated with the value of…

Keywords
complexity microscopic structure multifractal peat soil pore system
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researchpp. 115–129

Reconstruction of Sea Surface Temperature Data based on the Sr/Ca of Porites Coral in Ambon Bay

Sea Surface Temperature (SST) data can be used to understand oceanography dynamics in Ambon Bay. However, a lack of continual and long time series in-situ SST data limited this study. To overcome this problem, the Sr/Ca composition in Porites coral taken from Outer Ambon Bay was used to reconstruct SST. The coral sample was sub-sampled monthly and analyzed using ICP-OES. Subsequently, the anchor point method was used to develop the chronology of the coral Sr/Ca based on ERSST v3b data. The regression equation results were Sr/Ca = -0.059 x SST + 10.32 (r = -0.699, n = 95, p < 0.05). The…

Keywords
Ambon Bay coral Sr/Ca oceanography dynamics porites sea surface temperature reconstruction
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researchpp. 130–142

Site Response Characteristics of Simeulue Island, Indonesia as Inferred from H/V Spectral Ratio of Ambient Noise Records

Simeulue Island is an outer island arc off west of the Sumatra Island. The Island is located close to the interface of the subduction zone between Indo-Australian and Eurasian Plates. Seismic activities around the Island included devastating megathrust earthquakes, such as 2004 MW 9.2 Sumatra-Andaman and 2005 MW 8.7 Nias earthquakes. We investigate the site response characteristics using Horizontal-to-Vertical (H/V) Spectral Ratio method to the continuous ambient noise records from eight broadband seismometers. From the calculation, we generally observe strong peak of H/V spectral ratio which…

Keywords
ambient noise amplification factor fundamental frequency H/V spectral ratio site response Simeulue Island
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researchpp. 143–148

A Study of Multiple Scattering in BGO and LYSO Single Crystal Scintillators

The angular distribution of multiple Compton scatterings from BGO and LYSO single crystal scintillators was studied at various scattering angles. Gamma photons with 662 keV energy, acquired from a 137Cs source, were used. The scattered photons were detected by a 51mm × 51mm NaI(Tl) scintillation detector. The overall energy correlated to the total number of scattered incidents was analytically reconstructed. The research found that the multiply scattered incidents had the same energy as received from the singly scattered distribution, as the attribution of multiply scattered incidents near…

Keywords
BGO single crystal scintillators LYSO single crystal scintillators multiple Compton scattering number of multiply scattered events
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researchpp. 149–163

Production and Characterization of Chitinases from Thermophilic Bacteria Isolated from Prataan Hot Spring, East Java

Thermophilic bacteria producing chitinase were collected from Prataan hot spring, East Java, Indonesia and screened. The isolated bacterium was analyzed using 16S rRNA gene sequencing analysis and identified as Paenibacillus sp. The molecular identification was confirmed through morphological and physiological analyses. The production of chitinase was conducted at various incubation times, temperatures, pH and concentrations of colloidal chitin. The optimum condition of the isolate to produce the highest chitinase was 0.9% (w/v) of colloidal chitin (pH 7.0) at 48 °C for 24 hours. The obtained…

Keywords
chitin chitinase Paenibacillus sp Prataan hot spring thermophilic bacteria
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researchpp. 164–177

Optimal Vaccination and Treatment Schedules in a Deterministic Avian influenza Model

In this study, a transmission model of the Avian influenza disease was developed and analyzedin view of optimization of vaccination and medical treatment. The model is a host-vector model. We focussed on control of Avian influenza, where a vaccination is given to susceptible poultry, while medical treatment is given to infected humans. In the model, the human population is divided into four compartments: susceptible humans, infected humans, recovered humans, and treated humans. Meanwhile, the poultry population is divided into three compartments: susceptible poultry, infected poultry, and…

Keywords
genetic algorithm host-vector model medical treatment optimization vaccination
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researchpp. 94–105

New Seven-Step Numerical Method for Direct Solution of Fourth Order Ordinary Differential Equations

A new numerical method for solving fourth order ordinary differential equations directly is proposed in this paper. Interpolation and collocation were employed in developing this method using seven steps. The use of the approximated power series as an interpolation equation was adopted in deriving the method. The basic properties of the new method such as zero-stability, consistency, convergence and order are established. The numerical results indicate that the new method gives better accuracy than the existing methods when it is applied to fourth ordinary differential equations.

Keywords
block method collocation direct solution interpolation ordinary differential equations seven-step
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