E jurnal Matematika

5-10

Authors: Ummu Salamah, Annisa Aditsania, P. H. Gunawan

This research presents a numerical simulation on groundwater flow using collocation finite element method (CFEM). Groundwater flow is known as the flow of water beneath the soil. Generally, groundwater flow is generated due to high hydraulic differences. The CFEM is an approximation solution of the differential equation by assuming the selected analytical function to fulfill the differential equation and setting the residual value turn out zero. Here, this research will discuss the case of groundwater flow on steady state and unsteady state. The results of numerical method CFEM is shown second order in terms of convergence by error. The numerical error in case of constant water flow is obtain 3.62E − 23 using the grid size 6.1797e − 07. Moreover, the flow of groundwater is simulated in various of hydraulic conductivity constants.

17-24

Authors: Andi Futri Hafsah Munzir, Adiwijaya, Annisa Aditsania

Cancer is the second leading cause of death in the world based on World Health Organization (WHO) survey in 2015. It took DNA microarray technology to analyze and diagnose cancer. DNA microarray has large dimensions so it influences the process of cancer ‘s classification. GA and PCA are used as reduction method and MBP Powell Beale as classification method. The testing of MBP classification without dimension reduction results 70, 59% − 100% accuracy. MBP+PCA results 76, 47% − 100% accuracy. MBP + GA results 76, 47% − 92, 31% accuracy.

32-35

Authors: I Nyoman Widana and Ni Made Asih

This paper introduces the joint life satatus for married couples with independent and dependent mortality models. Using Frank copula and Indonesia Life Tables 2011, we evaluate the impact of dependent future lifetimes on the net single and level premium. The results show premium rates are reduced if models of dependent future lifetime are used compared to the models using an assumption of independence.

41-49

Authors: Luthfatul Amaliana, Umu Sa’adah, Ni Wayan Surya Wardhani

Tetanus Neonatorum (TN) is an infectious disease that could be prevented by immunization. East Java Province is the highest numbers of TN case in Indonesia. TN data in East Java contain overdispersion and big proportion of zero-inflation (71,05%). The data containing overdispersion and zero-inflation are more appropriately analyzed by using Zero-Inflated Negative Binomial (ZINB) regression. The aim of this study are: (1) to know the perform of proportion of zero-inflation for ZINB model and (2) to obtain the optimal proportion of zero-inflation for TN data. The result of this study indicates that the optimal proportion of ZINB model is 64,52%.

56-63

Authors: Nurma Aliyuwaningsih, I Wayan Sumarjaya, I Gusti Ayu Made Srinadi

The aim of this research is to know the displacement made by consumers of GSM cards and predictions of market share when reaching equilibrium conditions for each of the displacements made by consumers of GSM cards. This research uses Markov chain method. Markov chain method produces probabilistic information that can be used to assist for making decision. In Markov’s analysis, the equilibrium conditions are conditions in which the variables in the system ultimately bring the transition probabilities in stable or unchanged conditions. Data from this research is divided into two categories namely data about brand switching of GSM cards and data about the transfer of GSM cards brand usage. Data brand switching of GSM cards obtained from users who use one GSM cards, while the data transfer use of GSM cards obtained from user more than one GSM cards. The results of this research indicate that GSM card displacement equilibrium conditions was achieved in the 9th period, whereas the results of switching the use of GSM card shows that equilibrium conditions for phone and SMS users is in the 15th period, and equilibrium conditions for internet user is reached in 5th period.