An application of the finite difference method for solving the mass spring system equation
Keywords:Metode numeris, Metode Beda Hingga, Sistem Pegas Massa
AbstractThe numerical method is one method that can be used to solve differential equations, both differential equations that are easy or difficult to solve analytically. The solution obtained from the calculation results is an approximate solution or a solution that approaches an analytic solution, not an analytic solution. That is, in solving differential equations numerically, there is always an error. In this paper, an analytical solution is described and described and the application of different methods in solving a damped mass spring system with a known limit value. The error between the analytic and numerical solutions obtained is very small.
Haberman R., 1998. Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow. SIAM, Philadelphia.
Gabariela Purnama N., Sudi, M., 2019. Penerapan Metode Runge-Kutta dan Iterasi Variasional dalam Simulasi Transmisi Tuberkulosis. Limits: Journal of Mathematics and Its Applications, Vol. 16, No. 2, hal. 147-157.
Triatmodjo B., 2002. Metode Numerik. Beta Offset, Yogyakarta.
Hasan, dkk., 2016. Penerapan Metode Beda Hingga pada Model Matematika Aliran Banjir dari Persamaan Saint Venant. Zeta – Math Journal, Vol. 2, No. 1, hal. 6-12.
Forsyth, G., & Wasow, W., 1960. Finite Difference Methods for Partial Differential Equations. Wiley.
Devaney, R., 2011. Mastering Differential Equations: The Visual Method. THE GREAT COURSES, Virginia.
Wuryansari Muharini K., 2015. Bahan Ajar Pemodelan Matematika. Program Studi Matematika, Universitas Brawijaya.
Langtangen, H., & Linge, S., 2016. Finite Difference Computing with PDEs- A Modern Software Approach. Released under CC Attribution 4.0 license.
Duffy, D., 2006. Finite Difference Methods in Financial Engineering, A Partial Differential Equation Approach. Published by John Wiley & Sons Ltd, The Atrium, Southern Gate, Chichester, England.
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