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International Journal of Computing Science and Applied Mathematics
International Journal of Computing Science and Applied Mathematics (IJCSAM) is an open access journal publishing advanced results in the fields of computations, science and applied mathematics, as mentioned explicitly in the scope of the journal. The journal is geared towards dissemination of original research and practical contributions by both scientists and engineers, from both academia and industry. This journal is published four times in a year.
Articles
10
Articles
Persistence Analysis on Pre-coalition Models of H1N1-p with H5N1 virus in L^2 Space

Hariyanto, Hariyanto, Yunus, Mahmud, Yuni Shinta Lestari, Gusti

International Journal of Computing Science and Applied Mathematics Vol 2, No 2 (2016): June
Publisher : International Journal of Computing Science and Applied Mathematics

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Abstract

Influenza virus, H1N1-p and H5N1, are dangerous viruses. Medium of virus transmissions is the interaction or contact between individuals. The virus transmission to other individuals is easy. This happens due to a new strain that occurs as a result of pre-coalition between the two viruses. That phenomena is formulated in the form of a pre-coalition model of the virus. From the original pre-coalition model, a reduction process is done such that the models can be analyzed easily. Furthermore, the reduced pre-coalition model will be analyzed (i.e. existence and uniqueness of solutions), so that the system of equations is said to be well-posed. Persistence analysis result shows that in an unstable condition, H1N1-p influenza virus is “strongly uniformly persistence” over the system under the assumption that the H5N1 influenza virus is in a steady state. A similar result is also true for the H5N1 influenza virus. The H5N1 virus is more pathogenic than the H1N1-P-p. This is indicated by the value of epsilon0 in H5N1 virus is smaller than in H1N1-p virus, where epsilon0 shows the distance of interactions between individuals.

Stability Analysis On Models Of Spreading H1N1 And H5N1 Virus In Two Locations

Purwasih, Silviana Maya, Hariyanto, Hariyanto, Yunus, Mahmud

International Journal of Computing Science and Applied Mathematics Vol 2, No 2 (2016): June
Publisher : International Journal of Computing Science and Applied Mathematics

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Abstract

The dynamics of population mobility are occurring in a population. This phenomena can expand the area of the spread of a virus. Allowing the occurrence of a pandemic of a coalition between the H5N1-p virus and H5N1. In this paper, we analyze the stability of the model of the spread of H1N1 and H5N1-p. Based on the basic reproduction number R0, which is then simulated using the Matlab software, we conclude that when R0 < 1 the system is stable, whereas when R0 > 1 the system is unstable.

Mathematical Model of Free Convection Boundary Layer Flow on Solid Sphere with Viscous Dissipation and Thermal Radiation

Mohamed, Muhammad Khairul Anuar, Salleh, Mohd Zuki, Hussanan, Abid, Sarif, Norhafizah Md, Noar, Nor Aida Zuraimi Md, Ishak, Anuar, Widodo, Basuki

International Journal of Computing Science and Applied Mathematics Vol 2, No 2 (2016): June
Publisher : International Journal of Computing Science and Applied Mathematics

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Abstract

Present study considers the mathematical modeling of free convection boundary layer flow and heat transfer on a solid sphere with viscous dissipation and thermal radiation effects. The transformed partial differential equations are solved numerically by using the Keller-box method. Numerical solutions are obtained for the reduced Nusselt number, the local skin friction coefficient, the velocity and temperature profiles. The features of the flow characteristics for various values of the Prandtl number, radiation parameter and Eckert number are discussed. It is worth mentioning that the results are obtained until x=180 degree. This is contrary to the previous report where the separation boundary layer flow occurs after x=120 degree. The results in this paper is important for the researchers working in the area of boundary layer flow and this can be used as reference and also as complement for comparison purposes in the future.

Quality Control Analysis of The Water Meter Tools Using Decision-On-Belief Control Chart in PDAM Surya Sembada Surabaya

Widjajati, Farida Agustini, Wahyuningsih, Nuri, Hasofah, Lisda Septi

International Journal of Computing Science and Applied Mathematics Vol 2, No 1 (2016): March
Publisher : International Journal of Computing Science and Applied Mathematics

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Abstract

Efforts to maintain and improve the quality of the resulting product can be done by using statistical quality control. One of the methods used in quality control is DOB (Decision On Belief) control chart. DOB control chart is a controller diagram which is used in quality control of univariate data. In this paper, we discuss quality control of the water meter tools using DOB control chart. The case study is in PDAM Surya Sembada Surabaya. Production quality control can also be applied to the c univariate control chart to compute the sensitivity of DOB control chart. Implementation of c control chart and DOB control chart indicates that the data of water meter tools have not been statistically controlled. Application of DOB control chart provides results that are more sensitive by 23.33% than c control chart based on the amount of data that is out of control.

Classification of Poverty Level Using k-Nearest Neighbor and Learning Vector Quantization Methods

santoso, santoso -, Irawan, Mohammad Isa

International Journal of Computing Science and Applied Mathematics Vol 2, No 1 (2016): March
Publisher : International Journal of Computing Science and Applied Mathematics

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Abstract

Poverty is the inability of individuals to fulfill the minimum basic needs for a decent life. The problem of poverty is one of the fundamental problems that become the central of attention of local government. The government efforts to overcome poverty through with alleviation programs. Government is often difficult to sort out of the poverty levels in the society, therefore is necessary to a study that may help the government to identify of the poverty level in order that aid the government did not missed targeted. The aim is featured two classification methods of k-NN and LVQ. The purpose of this study was to compare the accuracy of the value of both methods for classification results in poverty levels. The data is used as an attribute that is data that characterizes poverty among others include aspects of housing, health, education, economics and income. From the testing results using both methods shows an accuracy value uses k-NN is 93.52 %, and an accuracy value uses LVQ is 75.93 %. It can be concluded that the classification of poverty level using k-NN method gives better performance than Learning Vector Quantization.

Auto Floodgate Control Using EnKf-NMPC Method

Purnaningrum, Evita, Apriliani, Erna

International Journal of Computing Science and Applied Mathematics Vol 2, No 1 (2016): March
Publisher : International Journal of Computing Science and Applied Mathematics

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Abstract

One of flood control, especially in the downstream areas are barrage. Auto Optimized using Ensemble Kalman filter based non linear predictive control. Ensemble Kalman Filter is used to predict water levels and flow of water when it reaches the barrage, with the results obtained from this method is then used as input for controlling the floodgates. Simulations performed in three circumstances, namely the normal flow, flooding and drought. For normal flow, using optimum quantities obtained NMPC open the floodgates. Simulations were performed for 100 an hour, with a gap of 5 per hour of observation. EnKf fulfilled with RMSE accuracy of the system and estimates of less than 1, RMSE debit is 0.5346 and RMSE water level is 0.2716. And the operation of the Opening gate achieve optimum value, with the movement of between 40-65 per cent, with an average difference of movement is 0.10065 percent. Flood conditions, the water flow 2,000  and the water level 10 m operation of Opening gate ranging between 98-100 per cent and the amount of the difference Opening Gate is 0.028835. RMSE to estimate the flow rate of 1.5835, while for the water level of 0.3145. While the flow conditions dry, with water flow 10  and the water level 1 m operation of opening gate ranging between 0-1 per cent and the amount of the difference Opening Gate is 0.41289 percent. RMSE to estimate the flow rate of 0.0826, while for the water level of 0.0677.

Optimal Feeding Strategy on Microalgae Growth in Fed-Batch Bioreactor Model

Izzati, Nailul, Mardlijah, Mardlijah

International Journal of Computing Science and Applied Mathematics Vol 1, No 1 (2015): December
Publisher : International Journal of Computing Science and Applied Mathematics

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Abstract

Some countries in the world turn to alternative energy source to fulfill their necessity of fuel. One of the alternative fuels is biodiesel. Raw material of biodiesel can be produced by microalgae cultivation in fed-batch bioreactor. To improve the productivity of microalgae cultivation, we need to determine the optimal control of microalgae growth. This paper discusses mathematical model of microalgae growth in fed-batch bioreactor, and solves the optimal feeding strategy problem by using Pontryagin Minimum Principle. Then we compare the controlled microalgae growth model with the uncontrolled one. Numerical simulation with DOTcvpSB shows that the controlled microalgae growth model yields more harvest and less cost function than the uncontrolled one.

The Effect of Collector in Solar Still for Water Productivity Using Runge-Kutta Method

Mardlijah, Mardlijah, Fatoni, Achmad, Hanafi, Lukman

International Journal of Computing Science and Applied Mathematics Vol 1, No 1 (2015): December
Publisher : International Journal of Computing Science and Applied Mathematics

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Abstract

Solar still is a renewable energy technology. It can reduce crisis of clean and healthy water in some countries. Solar still produces clean and healthy water using the sunlight, but the result of distillate water is not so much. Hence the need for modifications with the addition of collector can increase the yield of distillate water. Mathematical model of solar still with collector is in the form of system of differential equations. It can be solved numerically using Runge-Kutta method. From the simulation, we conclude that the collector increases the amount of distillate water in the solar still.

Mathematical Modeling of Pressure on Cylindrical Ellipse using Side-by-Side Configuration

Imron, Chairul, Yunus, Mahmud

International Journal of Computing Science and Applied Mathematics Vol 1, No 1 (2015): December
Publisher : International Journal of Computing Science and Applied Mathematics

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Abstract

The application of the concept of fluid is often used to solve problems in the daily life. One of them is the problem of fluid around an elliptical cylinder. This study aims to solve the problems of the fluid around two elliptical cylinder configuration with side-by-side using the Navier-Stokes equations. Navier-Stokes equations--incompressible, viscous and unsteady--are solved using finite difference method staggered grid and SIMPLE (Semi Implicit Method for Pressure-Linked Equation) algorithms. Finite difference method is used to complete the grid arrangement, whereas the SIMPLE algorithm is used to obtain components of velocity and pressure value. Results of this study are the pressure value based on fluid flow profile and a mathematical model which received an elliptical cylinder pressure. Profile of fluid flow is simulated by varying the Reynolds number of 100, 1000, 7000, and 10000 as well as variations in the distance between the cylinder with a ratio of $2 leq S/a leq 6$ where $L$ is the distance between the cylinder and $a$ is the minor axis of the cylinder ellipse. Then the pressure is calculated based on the value of the received cylinder pressure components. After obtaining the pressure value, then we create a mathematical model of the stresses imposed on the elliptical cylinder.

Construction of Convergent Sequence in Cone 2-Normed Spaces

sadjidon, sadjidon, Yunus, Mahmud, Sunarsini, Sunarsini

International Journal of Computing Science and Applied Mathematics Vol 1, No 1 (2015): December
Publisher : International Journal of Computing Science and Applied Mathematics

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Abstract

We introduce an idea of convergent sequence in a cone 2-normed space. We show that the convergence in 2-normed spaces using the definition of 2-norm by considering its dual space. Then we construct the convergence in cone 2-normed space, particularly for $ell_2$-space.