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All Journal Jurnal Penamas Adi Buana Specta Journal of Technology Limits: Journal of Mathematics and Its Applications
Nashrul Millah
Institute Kalimantan Of Technology
Chemical Engineering, Chemistry & Bioengineering Civil Engineering, Building, Construction & Architecture Computer Science & IT Education Electrical & Electronics Engineering Environmental Science Mathematics

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Journal : Limits: Journal of Mathematics and Its Applications

 1 
Kendali Optimal Penyebaran Penyakit Influenza H1N1 Tiga Strain dengan Vaksinasi dan Pengobatan Adinda Rizki Kinanti; Nashrul Millah; Irma Fitria
Limits: Journal of Mathematics and Its Applications Vol. 18 No. 1 (2021): Limits: Journal of Mathematics and Its Applications Volume 18 Nomor 1 Edisi Me
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

H1N1 influenza is a respiratory tract infection with common symptoms, namely fever, headache, coughing, and sore throat. H1N1 influenza has several strains known to infect humans, birds, and pigs. Some efforts to overcome the infection of the H1N1 influenza virus are vaccination and treatment. This Research discusses the optimal control in the form of vaccination and treatment applied to the model H1N1 Influenza disease spread. The method used to solve this optimal control problem is the Pontryagin Minimum Principle followed by searching numerical solutions using the Runge-Kutta Forward-Backward Sweep method. Numerical simulations were conducted to compare the spread of H1N1 Influenza before and after optimal control efforts were given. Based on the simulation result, it was shown that giving optimal control in the form of vaccination to susceptible individuals and treatment in individuals infected with three strains could reduce the number of individuals infected with H1N1 Influenza disease .
Skema Staggered Grid pada Persamaan Air Dangkal untuk Simulasi Aliran di Sekitar Pulau Nashrul Millah; Sri Redjeki Pudjaprasetya
Limits: Journal of Mathematics and Its Applications Vol. 21 No. 1 (2024): Limits: Journal of Mathematics and Its Applications Volume 21 Nomor 1 Edisi Ma
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Wake merupakan suatu pola gelombang pada permukaan air yang muncul akibat adanya pergerakan benda rigid. Pada penelitian ini, skema staggered grid orde dua digunakan untuk menyelesaikan persamaan air dangkal tak linier. Hasil yang didapat digunakan untuk mensimulasikan munculnya riak yang timbul akibat adanya arus yang menabrak pulau berbentuk lingkaran. Pada simulasi ini gaya-gaya luar yang diperhitungkan adalah gangguan angin, gaya gesek dengan dasar, dan efek turbulensi. Simulasi dilakukan dengan meniupkan angin pada ujunga kanal memanjang dengan sebuah pulau di dekat pangkalnya yang memicu aliran air. Untuk bilangan Reynold yang kecil, aliran air bersifat laminar dan membentuk pola halus di sekitar pulau. Bilangan Reynold merupakan perbandingan antara ketaklinieran dengan viskositas air. Untuk simulasi dengan bilangan Reynold yang besar, aliran menjadi tidak stabil dan memicu munculnya riak turbulen. Pusaran air tampak pada riak yang muncul di belakang pulau.
Co-Authors Adinda Rizki Kinanti Alfiniyah, Cicik Irma Fitria Primadina Hasanah Shadrina Khairani Arinda Sri Redjeki Pudjaprasetya