Determine the Solution of Delay Differential Equations using Runge-Kutta Methods with Cubic-Spline Interpolation

Agus Dahlia, Rahma Qudsi

Abstract


This paper describes some iterations for term delay in Delay Differential Equation (DDE), which is causing a huge number of iteration calculations. Time-delay was approximated using Cubic-Spline Interpolation, so DDE can rewrite as Differential Equations. Then, Runge-Kutta methods have been used to determine the solution of Differential equations from DDE.

Keywords


Delay Differential Equations; Cubic-Spline Interpolation; Runge-Kutta Methods; Lipschitz

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References


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DOI: http://dx.doi.org/10.12962/j24775401.v9i1.6218

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International Journal of Computing Science and Applied Mathematics by Pusat Publikasi Ilmiah LPPM, Institut Teknologi Sepuluh Nopember is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Based on a work at https://iptek.its.ac.id/index.php/ijcsam.