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All Journal Jurnal Matematika dan Statistika serta Aplikasinya (Jurnal MSA) Al-Aqlu : Jurnal Matematika, Teknik dan Sains
Nisa, Sayyidan
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Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Engineering Environmental Science Mathematics Medicine & Pharmacology

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Solusi Numerik Sistem Persamaan Reaksi Kimia dan Neraca Massa Menggunakan Metode Newton-Raphson Syata, Ilham; Nisa, Sayyidan
Jurnal MSA (Matematika dan Statistika serta Aplikasinya) Vol 10 No 1 (2022): VOLUME 10 NOMOR 1 TAHUN 2022
Publisher : Universitas Islam Negeri Alauddin Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24252/msa.v10i1.25139

Abstract

Tujuan penelitian ini adalah menentukan solusi numerik sistem persamaan linear dari model persamaan reaksi kimia dan neraca massa dengan menggunakan metode newton rapshon. Adapun langkah-langkah penelitian yaitu menuliskan system persamaan linear, menentukan nilai awal, mencari nilai fungsi system persamaan linear dengan nilai tebakan awal yang telah ditentukan pada lngkah sebelumnya, mencari turunan-turunan fungsi system persamaan linear, mencari nilai-nilai devisi dari masaing-masing variable, mencari nilai selesaian menggunakan persamaan ulangi iterasi sampai nilai fungsi mendekati 0 atau sama dengan 0. Hasil penelitian yang diperoleh adalah nilai dan  berturut-turut adalah 0,909091; 0,696881; 0,665424541 dan 0,585573596.   
PENERAPAN METODE RUNGE-KUTTA ORDE 4 MODEL PENYEBARAN DEMAM BERDARAH DENGUE DI KOTA MAKASSAR: Application of The Runge Kutta Method of Order 4 to The Model of The Spread of Dengue Hemorrhagic Fever in Makassar City Nisa, Sayyidan; Irwan, Irwan; Syata, Ilham
Al-Aqlu: Jurnal Matematika, Teknik dan Sains Vol. 2 No. 1 (2024): Januari 2024
Publisher : Yayasan Al-Amin Qalbu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59896/aqlu.v2i1.52

Abstract

This research was conducted based on the increasing rate of spread of dengue hemorrhagic fever in the city of Makassar. The aim of this research is to obtain a model for the spread of dengue hemorrhagic fever and find out the numerical solution of the mathematical model. The method used in this research is a quantitative method. The data is processed in the form of quantitative data in the form of the number of people infected, dead and recovered from dengue fever in the city of Makassar in 2021. This research is to predict future dengue hemorrhagic fever cases using the Runge-Kutta Order 4 method. The mathematical model for dengue hemorrhagic fever is in the form of a system of differential equations that includes the variables Sh (Susceptible Host), Ih(Infected Host), Rh (Recovered Host), Sv (Susceptible Vector), dan Iv (Infected Vector). Then look for the parameters that will be used. The research results obtained in january 2022 with Dt = 0,01 using the Fourth Order Runge-Kutta Method with initial values of Sh0= 1426454, Ih0 = 583, Rh0 = 582, Sv0 = 13165, Iv0 = 1215  is Sh100 = 1420142, Ih100 = 2949, Rh100 = 4529, Sv100 = 13706, Iv100 = 751.
Co-Authors Ilham Syata Irwan Irwan