Judul: Implementasi Penyelesaian Persamaan Burgers dengan Metode Beda Hingga dalam Bahasa Pemrograman Julia
Abstrak: Persamaan Burgers merupakan salah satu persamaan diferensial parsial yang digunakan untuk memodelkan beberapa kejadian yang berkaitan dengan fluida. Karya ilmiah ini membahas tentang penyelesaian persamaan Burgers dengan metode beda hingga. Dalam karya ilmiah ini, telah diketahui beberapa parameter bagi persamaan Burgers dan digunakan beberapa kasus partisi dalam metode beda hingga. Berdasarkan hasil yang diperoleh dapat diketahui bahwa semakin banyak partisi yang digunakan maka hasil numerik yang didapatkan akan semakin mendekati hasil eksaknya. Pada karya ilmiah ini, perhitungan secara numerik dilakukan dengan bantuan bahasa pemrograman Julia., Burgers equation is one of the partial differential equations used to modelling several events related to fluids. This study discusses solving burgers equations with the finite difference method. Several parameters have been known for the Burgers equation and several cases of partitions are used in finite difference methods. Based on the result obtained, it can be seen that the more partitions used, the numerical result obtained will be closer to the exact result. In this study, calculations are numerically carried out with the help of Julia programming language.
Keyword: Julia, metode beda hingga, persamaan diferensial parsial, persamaan Burgers, Burgers equation, finite difference method, partial differential equation

Judul: Penggunaan Metode Perturbasi Homotopi untuk Menyelesaikan Persamaan Burgers dan Penerapannya pada Masalah Arus Lalu Lintas
Abstrak: Traffic flow problems are frequently referred as problems of congestion, accidents and traffic violations. Traffic accidents often occur because the vehicle drivers can not control the speed of their vehicle. One of the efforts that must be made by the vehicle drivers to control the speed of their vehicle is driving under the road speed limit. On this traffic flow problems, the road speed limit will be assessed based on the Burgers equation. The Burgers equation can be solved by the homotopy perturbation methods. The results of the homotopy perturbation method will be compared to the results of numerical methods.
Keyword: traffic flow problems, homotopy perturbation method, Burgers equation

Judul: Thermal Characteristics and Dynamics of Tropical Cyclone over Western North Pacific Ocean: A Case Study of Typhoon Songda (Chedeng) 2011
Abstrak: The frequent occasion of Tropical Cyclone (TC) over Western North Pacific (WNP) Ocean lies from 10˚N to 26˚N and 121˚E to 170˚E. Sources of TC development come from warm ocean temperature where latent heat is released during condensation processes and subsequently concentrated in the boundary layer. Relative humidity at 850-700 hPa is responsible to produce the most intense storm. Meanwhile, weak vertical wind shear between 850-200 hPa is one of the dynamical factors that lead to the development of TC. Pressure level of 850-200 hPa is chosen to minimize the thermodynamic effect in the lower troposphere. Typhoon Songda (Chedeng in the Philippines) or TSC lasted from May 18th to 30th, 2011 and strengthened into powerful Super Typhoon stage between May 24th and 27th. Long curving track and the exhibition of all sequences of TC life cycle, TSC is then considered as an ideal case of TC. The objective of the study with case of TSC is to investigate the role of thermal characteristics and dynamics on TC intensity. The research is carried out by using Advanced Research of Weather Research and Forecasting model (WRF ARW model) version 3.3. Two domains are employed in the model. The first domain situate from 02˚N to 40˚N and 118˚E to 149˚E and cover spatial resolution () of 33.1 km. The second domain situate from 09˚N to 27˚N and 119˚E to 132˚E with of 11 km. Timestep of the model () is 120 seconds. The model is supported by the following physical parameterization, i.e., Yonsei University Scheme (YSU) in the boundary layer, Kain-Fritsch scheme (KF) in the cumulus, and WRF Single-Moment 3-class scheme in the microphysics. Initial meteorological condition prior to the formation of the cyclone is generated using WRF ARW standard-release model. Sensitivity of the model output is obtained from a selected single-parameter change scenarios, namely, 10 % to 20 % decrease and increase of wind shear initial data at 850-200 hPa, and by 10 % to 20 % decrease of relative humidity initial data at 850-700 hPa. The result showed that the negative correlations between wind shear and intensity are found in wind shear scenarios. Wind shears of 10 ms-1 which lead to strengthening of the wind intensity in the early period of Typhoon development are found in wind shear scenarios. The effect of wind shear changes on wind intensity is statistically significant in the 20 % wind shear scenarios. During mature stage, weak wind intensity occurred when wind shear increase as given in the WRF standard-release and the 20 % decreasing scenario. Different situation is found in the 20 % increasing scenario where wind shear tend to weak and lead to strong wind intensity at this stage. Meanwhile, the reduction of moisture supply at 850-700 hPa resulting from 20 % decreasing relative humidity play a major role in the weakening of wind intensity and reduces mechanical energy of the cycle process as much as 300 J kg-1.
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