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Journal : Jurnal Riset Mahasiswa Matematika

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Penyelesaian Sistem Persamaan Hukum Laju Reaksi dengan Metode Transformasi Differensial Maftuhah, Siti; Widayani, Heni; Kusumastuti, Ari
Jurnal Riset Mahasiswa Matematika Vol 2, No 4 (2023): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v2i4.16805

Abstract

This research is focused on solving the rate law equation by using the differential transformation method. The rate law equation describes the chemical reaction problem from the concentration of a reactant that produces a product. The differential transformation method is a semi-analytic numerical method that can provide approximate solutions in the form of a series because the method is obtained from the expansion of the Taylor series expansion. With the help of Maple software, a comparison of the solution plots of y_1 (t),y_2  (t) and y_3 (t), can be observed that the difference in computational results between the Runge-kutta method and the differential transformation depends on the order of k. The curve of the differential transformation method is getting closer to the curve of the Runge-Kutta method at a certain value of k for each y_1 (t),y_2  (t) and y_3 (t). The conclusion of this research is that the application of the differential transformation method has been successfully carried out in the case of a system of ordinary differential equations. For further research, the researcher suggests that the next research applies the method of differential transformation in cases and initial values that are more varied.
Co-Authors Al Sana, Tana Lina Muzna Alfatihah, Aini Ardimen Ari Kusumastuti Aunurrahman Aunurrahman Fitriah, Nur Izzati Heni Widayani Irman Irman Masril Masril Muslimah, Maziyyatul Ngatiyo . Ninil Elfira Putri, Shanas Septina Saputri, Sandra Sari Sarmen Aris Siti Sumiyati sri wuryastuti Suratno, Tatang YS, Arbaiyah Yulfi, Yulfi