An application of the finite difference method for solving the mass spring system equation

Authors

  • Gabariela Purnama Ningsi Universitas Katolik Indonesia Santu Paulus Ruteng
  • Fransiskus Nendi Universitas Katolik Indonesia Santu Paulus Ruteng
  • Lana Sugiarti Universitas Katolik Indonesia Santu Paulus Ruteng

DOI:

https://doi.org/10.20956/jmsk.v16i3.9574

Keywords:

Metode numeris, Metode Beda Hingga, Sistem Pegas Massa

Abstract

The 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.

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Author Biographies

Gabariela Purnama Ningsi, Universitas Katolik Indonesia Santu Paulus Ruteng

Program Studi Pendidikan Matematika

Fransiskus Nendi, Universitas Katolik Indonesia Santu Paulus Ruteng

Program Studi Pendidikan Matematika

Lana Sugiarti, Universitas Katolik Indonesia Santu Paulus Ruteng

Program Studi Pendidikan Matematika

References

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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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Published

2020-04-28

How to Cite

Ningsi, G. P., Nendi, F., & Sugiarti, L. (2020). An application of the finite difference method for solving the mass spring system equation. Jurnal Matematika, Statistika Dan Komputasi, 16(3), 404-416. https://doi.org/10.20956/jmsk.v16i3.9574

Issue

Vol. 16 No. 3 (2020): JMSK, MAY, 2020

Section

Research Articles

License

Creative Commons License
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