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Tantangan dan Peluang Pendidikan Matematika di Era Masyarakat Ekonomi Asean (AEC) Widodo, Basuki
Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya 2019: Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya
Publisher : Universitas Muhammadiyah Surakarta

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Abstract

(ASEAN Economic Community)Pasar Bebas ASEAN sangat Memungkinkan akan Mudahnya Mobilitas Barang, Jasa, Dan Orang Antarnegara Di Wilayah ASEAN Free flow of goodsFree flow of servicesFree flow of investmentFree flow of capitalFree flow of professionals and skilled labours Akan tetapi ada tantangan tersendiri yaitu Munculnya Kegagapan Massal Terutama Bagi Angkatan Kerja Yang Tidak Terdidik Dan Tidak Terlatih
MAGNETOHYDRODYNAMICS NANOFERRO FLUID FLOWS PASSING THROUGH A MAGNETIC POROUS SPHERE UNDER THERMAL RADIATION EFFECT Widodo, Basuki; Pamela, Eirene Juwita Ningtyas; Adzkiya, Dieky; Imron, Chairul; Rahayuningsih, Tri
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 4 (2022): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (456.749 KB) | DOI: 10.30598/barekengvol16iss4pp1303-1312

Abstract

In the application of thermonuclear reactor cooling, temperature regulation relies on experiments based on practical experience. Therefore, the accuracy of this temperature setting is operator-dependent. So it is necessary to develop a mathematical model to solve these problems. The dimensional mathematical model therefore is generated using the conservation laws of mass, momentum, and energy. The dimensional mathematical model is further transformed into non-dimensional mathematical model by using non-dimensional variables. The non-dimensional mathematical model is simplified using the similarity equation by utilizing the stream function. The model obtained is a system of nonlinear ordinary differential equations. This system of equations is then solved using an implicit numerical method using Keller-Box scheme. This Keller-Box method has high accuracy and is more efficient. The numerical simulation results show that the velocity profile and temperature profile decrease as the magnetic parameter, porosity parameter, and the Prandtl number increases, respectively. Meanwhile, when the radiation parameter increases, the temperature profile also increases, but the radiation parameter does not affect the velocity profile.
Optimal Control and Model Analysis of The Spread of Pneumonia in Toddlers in East Java-Indonesia Using The Pontryagin’s Minimum Principle Widodo, Basuki; Kamiran, Kamiran; Syahputri, Denisa Dwi
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 3: September 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i3.31974

Abstract

Pneumonia is  a  type  of  acute  respiratory  infection   (ARI) that  attacks  the  lungs and  is  caused   by  various microorganisms, such  as bacteria, viruses, parasites,  fungi, exposure to chemicals, or physical damage  to the lungs. Pneumonia is  included in  the list  of  10 diseases  with  the highest  number   of  cases  according to the Indonesian Ministry of Health reported  in April 2023. Pneumonia is the biggest cause of death in toddlers  aged 12-59  months,  reaching  12.5%. Therefore,   to  reduce  the  spread   of  pneumonia,  this  research  will  discuss providing  optimal control using the mathematical model  of  SEIR (Susceptible-Exposed-Infected-Recovered). The model  used is a pneumonia spreading model  with  implementing control in the form of first stage treatment and second  stage treatment. The results  of the stability analysis show  that at the disease-free  equilibrium point and  the endemic  equilibrium point,  the system  is  stable  respectively. Based  on  controllability analysis, it  is obtained  that the system  is controlled so that the system  can be controlled. In addition, based on the results  of the analysis of the optimal control  problem  with  Pontryagin’s Minimum Principle simulated with  Runge Kutta order  4, it shows  that the first  stage of treatment control  (u1)  and  the second  stage of treatment  (u2)  are very effective   in   reducing  the  number   of  individuals  infected   with   mild  pneumonia and   severe   pneumonia respectively.
Numerical Simulation of Fluid Flow Around Circular Cylinder and Three Passive Controls to Reduce Drag Coefficient at Re=500 Chairul Imron; Amirul Hakam; Basuki Widodo; Tri Yogi Yuwono
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 6 No. 1 (2020)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Numerical experiments and simulations of fluid flow through the outer surface of a circular cylinder and three passive controls have been investigated to determine the proper configuration of three passive controls in reducing the drag coefficient. One of passive controls is placed in front of the cylinder with distance ratio (S:D) = 2:4 and the other two passive controls are placed behind the cylinder with distance ratio (T:D) = 1:6;1:8. The angle between two passive controls behind the cylinder are a =30 deg;60 deg;90 deg;120 deg. The Navier-Stokes equations for incompressible, viscous and unsteady fluid flows is solved based on SIMPLE (Semi-Implicit for Pressure-Linked Equations) algorithms and discretized using finite-difference method. The difference in a affects the reduction in the drag coefficient significantly. The best configuration of three passive controls design is one of passive controls put at the distance ratio S=D = 2:4;T=D = 1:6 and a = 60. This configuration can reduce the drag coefficient optimally to 21.2109%.
Mathematical Model of Free Convection Boundary Layer Flow on Solid Sphere with Viscous Dissipation and Thermal Radiation Muhammad Khairul Anuar Mohamed; Mohd Zuki Salleh; Abid Hussanan; Norhafizah Md Sarif; Nor Aida Zuraimi Md Noar; Anuar Ishak; Basuki Widodo
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 2 No. 2 (2016)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

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Abstract

Present study considers the mathematical modeling of free convection boundary layer flow and heat transfer on a solid sphere with viscous dissipation and thermal radiation effects. The transformed partial differential equations are solved numerically by using the Keller-box method. Numerical solutions are obtained for the reduced Nusselt number, the local skin friction coefficient, the velocity and temperature profiles. The features of the flow characteristics for various values of the Prandtl number, radiation parameter and Eckert number are discussed. It is worth mentioning that the results are obtained until x = 180 degree. This is contrary to the previous report where the separation boundary layer flow occurs after x = 120 degree. The results in this paper is important for the researchers working in the area of boundary layer flow and this can be used as reference and also as complement for comparison purposes in the future.
Optimal Control of the Spread of Dengue Fever by Controlling the Vectors Growth Affected by Climate Change and Treatment Basuki Widodo; Nur Asiyah; Aulia Rahma; Kamiran Kamiran; Chairul Imron
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 10 No. 2 (2024)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j24775401.ijcsam.v10i2.4586

Abstract

Dengue Hemorrhagic Fever (DHF) is an infectious disease caused by the dengue virus and is spread through the bite of an adult female Aedes aegypti mosquito, as a vector (disease-carrying animal), to humans. This disease is still a major health problem in tropical and subtropical regions. Indonesia is reported as the 2nd highest country among 30 other endemic countries. Warm temperatures during the rainy season are ideal conditions for mosquitoes to lay eggs optimally, increasing egg maturity, and shortening the virus incubation period. This has an impact on increasing the number of mosquitoes and the risk of disease transmission. In this study, control of DHF was carried out by controlling the growth of vectors in the egg and adult phases of mosquitoes, which were influenced by rainfall and air temperature, as well as the treatment of infected humans. Before carrying out the control, stability analysis around the equilibrium point is first conducted. Next, the numerical solution is obtained using the Runge-Kutta method of order 4 with the help of MATLAB software. The results of the analysis show that, based on the optimal control effect in the form of mosquito egg death (k1), adult mosquito death (k2), and human treatment (k3), in the cities of Pekanbaru and Solok, there is not much difference between the two. However, there is a slight difference in the increase in the human population that is susceptible to disease.
Pergerakan Aliran MHD Ag-AIR Melewati Bola Pejal Yolanda Norasia; Basuki Widodo; Dieky Adzkiya
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

Fluida merupakan zat yang dapat mengalir dan mengalami perubahan secara kontinu akibat adanya tegangan geser. Analisis pengukuran dari ketahanan fluida terhadap tegangan geser menggunakan viskositas. Berdasarkan viskositas, fluida dibagi menjadi dua yaitu fluida newtonian dan fluida non-newtonian. Fluida non-newtonian terdiri atas fluida viskos, fluida mikropolar dan fluida nano. Salah satu contoh fluida nano adalah Ag-Air. Fluida tersebut tersusun dari fluida dasar air dan partikel nano Ag yang memiliki daya hantar dan tingkat konduktivitas yang tinggi. Adanya pengaruh medan magnet pada Fluida nano Ag-Air, maka menjadi fluida tersebut dapat menghantarkan arus listrik (memiliki sifat magnetohidrodinamik/MHD). Merujuk pada hasil riset sebelumnya bahwa parameter magnetik dan konveksi dapat mempengaruhi profil kecepatan dan temperatur pada fluida. Pada penelitian ini dibahas mengenai model matematika dan penyelesaian numeriknya dari permasalahan pergerakan aliran MHD Ag-Air yang melewati bola pejal dengan pengaruh parameter magnetik dan konveksi. Diperoleh hasil bahwa variasi magnetik yang meningkat mengakibatkan pergerakan Ag-Air melambat dan temperatur Ag-Air meningkat. Dengan meningkatkan parameter konveksi diperoleh pergerakan Ag-Air lebih cepat dan temperatur Ag-Air mengalami penurunan.