Judul: Rancangan Pemanfaatan Air Sungai Cihideung untuk Kebun Percobaan Leuwikopo Kabupaten Bogor
Abstrak: Pemanfaatan Sungai Cihideung sebagai suplai irigasi di musim kemarau mencegah terjadinya kekeringan. Pompa hydram menjadi salah satu alternatif yang murah dan mudah untuk mendistribusikan air dari sungai ke kebun. Penelitian ini bertujuan menentukan nilai ketersediaan air dan pemanfaatan Sungai Cihideung untuk kebun percobaan Leuwikopo, menentukan kebutuhan air di lahan, dan menghasilkan rancangan penampung air di lahan yang bersumber dari Sungai Cihideung. Nilai kebutuhan dan ketersediaan air di lahan sangat bergantung pada evapotranspirasi dan curah hujan. Evapotranspirasi standar pada kebun berkisar 3,2 – 4,5 mm/hari. Tanaman yang dipilih sebagai acuan dalam penelitian adalah tebu. Evapotranspirasi tanaman tebu berkisar 1,91 – 4,45 mm/hari dengan kebutuhan maksimum tanaman sebesar 137,95 mm/bulan. Curah hujan di Kabupaten Bogor relatif tinggi, berkisar 3000-4500 mm/tahun. Kebutuhan rata-rata saat musim kemarau mencapai 1,35 mm/hari, dibuat menjadi volume acuan untuk bak penampung sebesar 4.860 liter. Kebutuhan air yang perlu untuk disuplai sebesar 0,21 l/detik untuk luasan 0,36 Ha. Dimensi tampungan 2,5 m x 1,5 m x 1,5 m terbuat dari fiberglass, pengisian dengan pompa hydram dengan debit sebesar 0,248 l/detik selama 5 jam 25 menit., Utilization of the Cihideung River as an irrigation supply in the dry season prevents drought. Hydraullic ramp were cheap and easy alternative to distribute water. Research’s objectives are to determine the value of water availability and utilization of the Cihideung River for the Leuwikopo experimental garden, determine the water demand on the land, and produce a water reservoir design on the land. The value of the need and availability of water in the land are highly dependent on evapotranspiration and rainfall. Standard evapotranspiration in field ranges from 3,2 to 4.5 mm/day. Sugarcane is the selected plant. Sugarcane evapotranspiration ranged from 1,91 to 4,45 mm/day with a maximum plant requirement of 137,95 mm/month. Rainfall in Bogor Regency is relatively high, ranging from 3000-4500 mm/year. The average demand during the dry season reaches 1,35 mm/day, which is made into a reference volume for a holding tank of 4.860 liters. The water requirement that needs to be supplied is 0,21 l/second for an area of 0,36 ha. The dimensions of the 2,5 m x 1,5 m x 1,5 m reservoir are made of fiberglass, filled with a hydraulic ram pump with a discharge of 0,248 l/second for 5 hours 25 minutes.
Keyword: curah hujan, evapotranspirasi, hydram, bak tampung, evapotranspiration, hydram, rainfall, reservoir

Judul: Perancangan Penggunaan Air Sungai Ciapus untuk Menyuplai Air Irigasi di Persemaian Permanen Dramaga Bogor
Abstrak: Air dan sistem penyiraman sangat berdampak dalam produksi bibit berkualitas di persemaian permanen. Persemaian Permanen Dramaga menggunakan dua sumur resapan yang diisi oleh air hujan, saat musim kemarau terjadi kekurangan air. Air sungai Ciapus dapat dimanfaatkan dengan menggunakan pompa hidram. Oleh karena itu, perlu dirancang bak penampung yang dapat menyimpan sementara air dari pompa dan menyuplai air secara kontinu. Penelitian ini bertujuan menentukan kebutuhan air irigasi, serta menentukan kapasitas dan menghasilkan rancangan bak penampung air di lokasi penelitian. Kebutuhan air diperoleh berdasarkan nilai defisit pada neraca air antara laju evapotranspirasi dengan laju curah hujan. Defisit air rata-rata pada periode kemarau tahun 2015 merupakan nilai yang tertinggi selama tahun 2003-2020, yakni sebesar 2,63 mm/hari. Berdasarkan nilai tersebut diperoleh kebutuhan air irigasi sebesar 15,78 m3/hari untuk lahan seluas 0,60 ha. Debit pemompaan berpotensi mengisi bak penampung selama waktu penyiraman. Kapasitas bak penampung didesain setengah dari kebutuhan air harian, yakni 7,89 m3, dan dibulatkan menjadi 8 m3. Bak penampung direncanakan menggunakan bahan panel fiberglass. Ukuran panjang, lebar dan tinggi bak penampung masing-masing sebesar 2 m., Water and irrigation systems have a major impact on the production of quality seedlings in permanent nurseries. The Dramaga Permanent Nursery uses two infiltration wells filled by rainwater, during dry season there is a shortage of water. Ciapus river water can be utilized by using a hydraulic ram pump. Therefore, it is necessary to design a reservoir to temporarily store water from the pump and to supply water continuously. The research aimed to determine the need for irrigation water, determine the capacity and produce a water reservoir design at the research site.Water requirement was obtained based on the deficit value in the water balance between evapotranspiration rate and rainfall rate. The average water deficit in the dry season in 2015 was the highest value during 2003-2020, which was 2,63 mm/day. Based on this value, the irrigation water requirement was 15,78 m3/day for an area of 0,60 ha. The pumping discharge had the potential to fill the reservoir during watering time. The designed reservoir capacity was half of the daily water requirement, which was 7,89 m3, and fulfilled to 8 m3. The reservoir was planned to use fiberglass panel material. The length, width, and height of the reservoir were 2 m each.
Keyword: evapotranspiration, fiberglass reservoir, irrigation, rainfall

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
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