Judul: Analisis lingkungan mikro dengan teknik computational fluid dynamics (CFD) pada kandang domba garut sistem tertutup di kandang penggemukan fakultas peternakan IPB
Abstrak: Cage has a very important role in accommodating all livestock activities as providing comfort and protection from environmental influences. Livestock will be able to develop and grow normally in good cage environment condition. Livestock development is influenced by the climate of the cage microenvironment such as air temperature, humidity, wind speed, and light intensity. This research aimed to analyze the distribution of temperature, humidity, wind speed and air flow patterns inside the cage with the fan turning on and off with a technique of Computational Fluid Dynamics (CFD). The parameteres which were observed included temperature, relative humadity (RH), air flow and irradiation with the uniform environmental conditions from 07.00 a.m. until 15:00 p.m. Then, the data obtained were analyzed and compared with simulation results using SolidWork 2009. The highest temperature inside the cage based on measurement was 33.33 °C at 12.00 p.m., with the simulation results using SolidWork 2009 up to 34.45 °C. Error of temperature based on measurement results with simulation results at 08.00, 12.00 and 15.00 were 5.24%, 2.83%, and 2.01%. pThe highest relative humidity based on measurements was 89.67% in the morning and evening, during the simulation up to 85.17% at 08.00 p.m. RH errors from the measurement results with simulations were 2.97%, 5.07%, and 3.93%. The highest wind speed from CFD simulation results was 1.90 m/sec at 15.00 p.m. The simulation results showed that the temperature level and RH when the fan was on and off were almost the same, with the difference about ± 0.01 °C, and the air movement had a difference of about 0.02-0.11 m/sec.
Keyword: CFD, Fattening cage, Garut sheep, Micro climate, Bogor Agricultural University

Judul: The Effect of Airflow Velocity on Batur Sheep Behavior
Abstrak: Salah satu jenis domba di Indonesia yaitu domba batur dengan sebaran asli geografis di Kecamatan Batur, Kabupaten Banjarnegara, Jawa Tengah. Faktor lingkungan seperti kecepatan angin dapat mempengaruhi perilaku dan kenyamanan domba batur yang habitat aslinya berada di dataran tinggi dengan suhu rendah. Salah satu upaya untuk mengurangi heat stress adalah dengan memberikan aliran udara atau angin. Penelitian ini bertujuan untuk mengetahui pengaruh kecepatan aliran udara terhadap perilaku domba batur untuk tujuan pengelolaan lingkungan mikro kandang. Penelitian dilakukan pada 6 ekor domba selama 15 hari tanpa peningkatan kecepatan aliran udara (V0) dan 15 hari berikutnya dengan peningkatan kecepatan aliran udara (V1) dengan menggunakan kipas angin. Kecepatan aliran udara diukur menggunakan anemometer digital. Besarnya konsumsi pakan diperoleh dengan menghitung sisa pakan yang diberikan pada setiap pemberian pakan. Pengukuran durasi istirahat dan frekuensi istirahat dilakukan pada pukul 10.30–15.30 WIB. Suhu dan kelembaban kandang diukur setiap 30 menit menggunakan thermohygrometer digital. Pengujian pembandingan data rata-rata dilakukan dengan uji-t melalui bantuan perangkat lunak SPSS. Pemberian kipas angin pada kandang berhasil meningkatkan kecepatan aliran udara dalam kandang sehingga suhu dalam kandang menurun. Pemberian kipas angin juga berdampak pada peningkatan durasi istirahat, penurunan frekuensi istirahat, dan penurunan persentase konsumsi pakan., One type of Indonesian sheep is batur sheep with geographic native distribution in Batur District, Banjarnegara Regency, Central Java. Environmental factors such as wind speed can affect the behavior and comfort of batur sheep whose natural habitat is on the highlands with low temperatures. One of the efforts to reduce heat stress is by providing air or wind flow. This research aims to determine the effect of airflow velocity on the behavior of batur sheep for the purpose of pen micro environmental management. The research conducted on 6 sheep for 15 days without an increased airflow velocity (V0) and 15 days with an increased airflow velocity (V1) by a fan. The airflow velocity was measured using digital anemometer. The amount of feed consumption was obtained by calculating the remaining feed given at each feeding. The measurement of resting duration and resting frequency conducted at 10.30–15.30 WIB. The temperature and humidity of the sheepfold were measured every 30 minutes using digital thermohygrometer. Provision of a fan in the cage succeeded in increasing the speed of air flow in the cage so that the temperature in the cage decreased. Giving a fan also has an impact on increasing the duration of rest, decreasing the frequency of rest, and decreasing the percentage of feed consumption.
Keyword: airflow velocity, batur sheep, behavior, heat stress, temperature

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
Keyword: