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All Journal Journal of Science and Applicative Technology Jurnal Matematika UNAND Indonesian Journal of Applied Mathematics
Mardianto, Lutfi
Program Studi Matematika Institut Teknologi Sumatera, Lampung Selatan, 35365, Indonesia
Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Engineering Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics

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Journal : Indonesian Journal of Applied Mathematics

 1 
Metode Runge-Kutta Orde 4 Dalam Penyelesaian Persamaan Gelombang 1D Syarat Batas Dirichlet Yenci Brika Enkekes; Lutfi Mardianto
Indonesian Journal of Applied Mathematics Vol 2 No 1 (2022): Indonesian Journal of Applied Mathematics Vol. 2 No. 1 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v2i1.489

Abstract

The problem studied in this study was the movement of deviations in the equation of 1D waves on the rope given the initial deviation value. In this study, the equation of 1D waves with dirichlet boundary problems will be solved analytically using variable and numerical separation using the runge-kutta method approach of order 4. This research begins with examining equation models, solving analytical solutions, applying schemes to the final results of simulations. The decrease in equation model fissile is done by reviewing the working force on a piece of rope, solving an analytical solution with a variable separation method, and numerical completion resulting in the best simulation result with parameter c= 0.5 with time steps ∆x= 0.01 and time interval of 0 ≤ t≤ 1 resulting in a numerical approach close to its analytical solution up to t= 1 s and the influence of parameter c on the movement of wave deviations resulted in that the influence of parameter c affects the magnitude of the deviation of the wave, so the greater the value of parameter c, the smaller deviation of the wave and the faster the speed of the direction. Thus, it can be concluded that the runge-kutta method of order 4 in this study can be said to be one of the numerical approaches of the problem of 1D wave equations with dirichlet boundaries.
Analisis Sistem Antrian pada Pelayanan Help Desk UPT TIK Institut Teknologi Sumatera Menggunakan Teori Antrian Dwi Rianti; Utriweni Mukhaiyar; Lutfi Mardianto
Indonesian Journal of Applied Mathematics Vol 2 No 1 (2022): Indonesian Journal of Applied Mathematics Vol. 2 No. 1 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v2i1.534

Abstract

The analysis of the queuing system at the Help Desk service of the UPT TIK Institut Teknologi Sumatera includes the number of ticket arrivals, the average length of service time, and the number of service facilities (admin). The data for the number of Help Desk tickets are Poisson distributed and the service time is the Exponential distribution. The size of the steady-state in the service has a value of so that an analysis of the performance size of the queue system can be carried out. The data used in the study are Help Desk ticket data for the period November 2020-February 2021. The results obtained indicate that the queue model for the Help Desk service can be added to the server (admin). The addition of a server in the service can reduce the workload significantly. The queue model that can be applied is M/M/3:FCFS/∞/∞ by adding one server (admin), from the previous model, namely M/M/2:FCFS/∞/∞.
Co-Authors Basuki Widodo Benediktus Ivan Pratama Budhi Agung Prasetyo Dieky Adzkiya Dwi Rianti Endah R. M. Putri Endah Rokhmati Merdika Putri Gusrian Putra Hakam, Amirul Muawanah Muawanah Muhammad Zainuddin Lubis Pratama, Aditya Putra Soemarsono, Annisa Rahmita Utriweni Mukhaiyar Yenci Brika Enkekes