Draining of Water Tank using Runge-Kutta Methods
Agnes Serawa Anak Jutang1, Noorhelyna Razali2, Haliza Othman3, Hawa Hishamuddin4
1Agnes Serawa Anak Jutang*, Department of Mechanical Engineering, Universiti Kebangsaan Malaysia, Bangi, Selangor, Malaysia.
2Noorhelyna Razali, Department of Engineering Education, faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, Bangi, Selangor, Malaysia.
3Haliza Othman, Department of Engineering Education, faculty of Engineering and Built Environment, Universiti Kebangsaan Malaysia, Bangi, Selangor, Malaysia.
4Hawa Hishamuddin Department of Mechanical Engineering, Universiti Kebangsaan Malaysia, Bangi, Selangor, Malaysia.
Manuscript received on January 02, 2020. | Revised Manuscript received on January 15, 2020. | Manuscript published on January 30, 2020. | PP: 2342-2348 | Volume-8 Issue-5, January 2020. | Retrieval Number: E5843018520/2020©BEIESP | DOI: 10.35940/ijrte.E5843.018520
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The use of water tanks as a tool for storing water before being distributed for daily use has become a widely used system today. Among the attempts to develop a water distribution system is optimization in terms of system and operating costs. In this study, four methods of the Runge Kutta method are the Implicit such as Explicit Euler method, Implicit Euler method, Implicit Midpoint Rule, Runge Kutta Fourth-order method are used and compared with the exact solution method. The method will be compared in terms of accuracy and efficiency in solving differential equations based on set parameters for optimum design of water tank. The accuracy and efficiency of each method can be determined based on error graph. At the end of the study, numerical results obtained indicate that the Implicit Midpoint Rule provides greater stability and accuracy for the fixed stepsize given compared to other numerical methods.
Keywords: Runge Kutta, Tank, Stability, Design, Numerical Method.
Scope of the Article: Numerical Modelling of Structures.