SOLUSI NUMERIK SISTEM PERSAMAAN NON LINEAR DALAM REAKSI STEAM REFORMING MENGGUNAKAN METODE NEWTON-RHAPSON

Numerical Solution of Non-Linear Equation System in Steam Reforming Reaction Using Newthon-Raphson Method

Authors

  • Azizah Fitrah Kirani Program Studi Matematika, Fakultas Sains dan Teknologi, Universitas Islam Negeri Alauddin Makassar
  • Risnawati Ibnas Program Studi Matematika, Fakultas Sains dan Teknologi, Universitas Islam Negeri Alauddin Makassar
  • Ilham Syata Program Studi Matematika, Fakultas Sains dan Teknologi, Universitas Islam Negeri Alauddin Makassar

DOI:

https://doi.org/10.59896/aqlu.v3i1.105

Keywords:

Newton-Raphson Method, Steam Reforming Reaction

Abstract

This study discusses the solution of a system of non linear equation from the steam reforming reaction  which consist of two non-linear equation with two variables, namely the  and  variables which will be solved using the Newton-Raphson method. The results of the final iteration  are obtained with a value of x is 0,754090792 and y is 0,700893797. These two values will be substituted into the mole fraction formula to find the equilibrium composition of the steam reforming reaction components. The research results were obtained by formulating the mole fraction of each component of a chemical compound that had been formulated, then the value of the mole fraction for each component of the chemical compound was obtained, the value of the mole fraction for CO = 0,00462, H2 = 0,25745, CO2 = 0,06089, H2O = 0,56875 and CH4 = 0,10827. Based on the results obtained, it can be concluded that the Newton-Raphson method can be applied to find the equilibrium composition of the components of the steam reforming reaction.      

References

Anwar, N. T. (2018). Peran kemampuan literasi matematis pada pembelajaran matematika abad-21. Prisma, 1, 364-370.

Batarius, Patrisius. (2018). Nilai Awal Pada Metode Newton-Raphson Yang Dimodifikasi Dalam Penentun Akar Persamaan. Jurnal Teknik Informaika, Volume 1, No. 3.

Devrianti, Mariatul, dkk. (2019). Analisis Metode Newton-Raphson Ganda Orde Konvergensi Empat Dalam Menyelesaikan Sistem Persamaan Nonlinear. Buletin ilmiah Math. Stat. dan Terapannya, Volume 08, No. 2

Hasanah, Kurniawati. (2019). “Matematika Ekonomi dan Bisnis”. Jawa Timur:UNIPMA Press.

Hidayati, T., Aedi, W. G., & Masitoh, L. F. (2022). “Metode Numerik”. Tangerang:UNPAM Press.

Jatmiko, Tri Hadi, dkk. (2018). Analisis Kinerja Reaktor Unggun Tetap Untuk Produksi Hidrogen Melalui Reaksi Steam Reforming Etanol. Jurnal Riset Teknologi Industri, Vol. 12 No. 1.

Margaretty, Maria. (2022). Persamaan Non Linier Dan Penerapannya Pada Matematika Bisnis. Jurnal Dunia Ilmu, 2(3).

Mukhtar, Anas, dkk. (2019). Pengaruh Penggunaan Katalis Kalium Hidroksida Pada Campuran Minyak Nabati dan Air Terhadap Produksi Hidrogen Dengan Menggunakan Metode Steam Reforming. Jurnal Rekayasa Mesin: Universitas Brawijaya, v. 10, n. 2.

Munir, R. (2010). Metode Numerik. Bandung: Informatika.

Rochmad. (2013). Aplikasi Metode Newton-Raphson Untuk Menghampiri Solusi Persamaan Non Linear. Jurnal MIPA: Universitas Negeri Semarang.

Rustamaji, Heri. (2013). Pengantar Komputasi Teknik Kimia Dengan Matlab dan Simulink. Bandar Lampung: CV. Anugrah Utama Raharja.

Downloads

Published

18-01-2025

How to Cite

Kirani, A. F., Ibnas, R., & Syata, I. (2025). SOLUSI NUMERIK SISTEM PERSAMAAN NON LINEAR DALAM REAKSI STEAM REFORMING MENGGUNAKAN METODE NEWTON-RHAPSON: Numerical Solution of Non-Linear Equation System in Steam Reforming Reaction Using Newthon-Raphson Method. Al-Aqlu: Jurnal Matematika, Teknik Dan Sains, 3(1), 43–55. https://doi.org/10.59896/aqlu.v3i1.105

Issue

Vol. 3 No. 1 (2025): Januari 2025

Section

Articles

License

Copyright (c) 2025 Azizah Fitrah Kirani, Risnawati Ibnas, Ilham Syata

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.