Trans Jogja is a public transportation in Yogyakarta which is operated by Dishubkominfo DIY. It is one of the ways to overcome transportation problems especially traffic jams. The total number of the buses until now reaches to 54. In fact, it does not significantly overcome the traffic jam problem yet. Dishubkominfo DIY always makes some efforts to improve the Trans Jogja management. One of them is by giving good services to the passengers. So, it is important to predict the amount of the passengers of Trans Jogja. This forecast uses the data from July 1 st 2014 -September 29 th 2014. This forecast is based on Weighted Fuzzy Time Series (WFTS). To forecast using WFTS, there are some important steps. There are defining the universe of discourse U, defining the fuzzy sets, establishing fuzzy logical relationship, grouping, forecasting, defuzzification, assigning weights and the last is calculating the final forecast values.
The Variational Iteration method (VIM) is one of the semi approximation procedure to solve numerous differential problems. Many literatures shows that this method need to be rectify to get preferable results. This research would like to modify VIM on the replacement the initial value in each steps. Although this method enact the algorithm more complex, but modify VIM gives good outcomes peculiarly in long time intervals. We compare the solutions with the analytical solution using separation variable. The results denotes that both of the VIM and modify VIM have small error in solving heat equation in Dirichlet boundary. It could be seen that the modify VIM give better solutions instead of VIM.
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