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All Journal Jurnal Ilmu Dasar KADIKMA BERKALA SAINSTEK Prosiding Seminar Matematika dan Pendidikan Matematik Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Majalah Ilmiah Matematika dan Statistika (MIMS) Tabayyun
Rusli Hidayat
Jurusan Matematika, FMIPA Universitas Jember
Religion Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemistry Control & Systems Engineering Education Languange, Linguistic, Communication & Media Mathematics Physics

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Journal : Majalah Ilmiah Matematika dan Statistika (MIMS)

 1 
PENYELESAIAN MODIFIKASI MODEL PREDATOR PREY LESLIE-GOWER DENGAN SEBAGIAN PREY TERINFEKSI MENGGUNAKAN ADAMS BASHFORTH MOULTON ORDE EMPAT Arianti, Liatri; Hidayat, Rusli; Purnomo, Kosala Dwija
Majalah Ilmiah Matematika dan Statistika Vol 19 No 2 (2019): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v19i2.17268

Abstract

Eco-epidemiology is a science that studies the spread of infectious diseases in a population in an ecosystem where two or more species interact like a predator prey. In this paper discusses about how to solve modification Leslie Gower of predator prey models (with Holling II response function) with some prey infected using fourth order Adams Bashforth Moulton method. This paper used a simple disease-spreading model that is Susceptible-Infected (SI). The model is divided into three populations: the sound prey (which is susceptible), the infected prey and predator population. Keywords: Adams Basforth Moulton, Eco-epidemiology Holling Tipe II, Local stability, Leslie-Gower, Predator-Prey model
PERBANDINGAN ALGORITMA PARTICLE SWARM OPTIMIZATION (PSO) DAN ALGORITMA GLOWWORM SWARM OPTIMIZATION (GSO) DALAM PENYELESAIAN SISTEM PERSAMAAN NON LINIER Azmi, Ana Ulul; Hidayat, Rusli; Arif, M Ziaul
Majalah Ilmiah Matematika dan Statistika Vol 19 No 1 (2019): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v19i1.17263

Abstract

Non-linear equation system is one of the mathematics problems which difficult to solve. Several methods have been introduced to solve the problems. Newton-Raphson method is the most common and widely used as the basis for evolving the latest numerical methods. However, this method requires the derivative of each equation with respect to every variable when calculating the Jacobian. Naturally, obtaining the derivative is challenging in certain cases. In addition, it needs a proper initial value to obtain the converged solution. Therefore, the new technique with a simple random initial value is urgently needed. In this study, it is shown the implementation of the two metaheuristic optimization methods, including Particle Swarm Optimization (PSO) and the Glowworm Swarm Optimization (GSO) to estimate the solution of a non-linear equation system. Several examples of nonlinear equation system were used for evaluating and testing the performance and the accuracy of both algorithms. In this simulation, the results show that PSO converged to the exact solution (global optimum) better than Glowworm Swarm Optimization (GSO). Keywords: Non-Linear Equation Systems, Particle Swarm Optimization (PSO), Glowworm Swarm Optimization (GSO)
PENERAPAN COCKROACH SWARM OPTIMIZATION ALGORITHM (CSOA) PADA PENYELESAIAN PERSAMAAN POLINOMIAL YANG MEMILIKI AKAR KOMPLEKS Farikha, Ema Fahma; Hidayat, Rusli; Arif, Muhammad Ziaul
Majalah Ilmiah Matematika dan Statistika Vol 18 No 2 (2018): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v18i2.17251

Abstract

In this paper, we use a metaheuristic algorithm for solving non-linear equations (polynomial equations) which have a set of complex roots (complex numbers). The metaheuristic algorithm is the Cockroach Swarm Optimization Algorithm (CSOA) which imitate various types of natural cockroach behaviors such as chase-swarming, dispersing and ruthlessness when hunting for food sources. In this study, several examples of non-linear polynomial equations were used for evaluating the accuracy of CSOA. In this simulation, the accuracy comparison has been accomplished. It is shown that CSOA results are more accurate compared to the Newton-Raphson results. Keywords: Cockroach Swarm Optimization Algorithm, Complex roots of polynomial, Newton-Raphson, Non-Linear equation.
Projectile Motion Modeling with Linear Resistance Hidayat, Rusli
Majalah Ilmiah Matematika dan Statistika Vol 16 No 2 (2016): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

When the projectile is shot into the air, the main force affecting the motion of projectile, other than gravity, is air resistance. This slowing down force is drag force, and it acts in a direction opposite to the velocity of the projectile. For the projectiles moving through the air at relatively low speeds, however, the drag force is proportional to the speed and so is called linear. The aim of this paper is to discuss the projectile motion by considering air friction as linear resistance. The results obtained show that the projectile motion model with linear resistance is more complex in formulating maximum height and range than the model without air friction force.
Profile of Wave Equation Using Boundary Condition Akhsan, Mokhamad; Hidayat, Rusli; Pradjaningsih, Agustina
Majalah Ilmiah Matematika dan Statistika Vol 16 No 1 (2016): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v16i1.23731

Abstract

The wave equation is one of hyperbolic equation forms which its solution can be solved by various methods, such as Alembert and series approximation methods. Basically, the Alembert method is a coordinate transfer technique and the series approximation method is the classical separation of variable. Performance of the wave equation can be known by both of the methods with the variation of boundary conditions. The results show that both of the methods gave some equalities or differences of the profile. The different values of the velocity c ’s will have the same performance of the wave equation in the case of Dirichlet and Von Neumann boundary conditions. Calculating the profiles with a discrete version of the solution and showing some profiles at various times have been done resulting oscillation wave and moving wave.
Design Of Evolutive Pipe Shape Kusno, Kusno; Hidayat, Rusli; Juliyanto, Bagus
Majalah Ilmiah Matematika dan Statistika Vol 16 No 1 (2016): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v16i1.23733

Abstract

We formulate evolution tube defined by Bezier dan natural curve in three steps as the following. Firstly, calculating the parametric surfaces of Bezier and natural evolution tube defined by Serret Frenet frame is done. Secondly, we formulate parametric continuity for joining the tubes. Finally, the application of those formulas for modeling the tubes by using computer are simulated.
Determination of Fractal Area of the Koch Snowflake Kamil, Abdul; Hidayat, Rusli; Purnomo, Kosala Dwidja
Majalah Ilmiah Matematika dan Statistika Vol 17 No 1 (2017): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v17i1.23750

Abstract

The Koch Snowflake Island (Koch Snowflake) is composed of three Koch curves rotated by suitable angles and fitted together. The Koch curve is constructed using an iterative procedure beginning with the initiator of the set as the unit line segment. The unit line segment is divided into thirds and the middle third removed, then replaced with equilateral triangle without base. In this article to get formulation of the area fractals Koch Snowflake and its variations, generated by generator equilateral triangle, isosceles triangle and square to the sides of the regular polygon which has n sides.
Co-Authors Agustina Pradjaningsih Akhsan, Mokhamad Ankesa, Helnafri Arianti, Liatri Arif, Muhammad Ziaul Azmi, Ana Ulul Dwi Agus Wijayanto Dwi Candra Vitaloka Farikha, Ema Fahma Firdaus Ubaidillah Hadi Siswanto Juliyanto, Bagus Kamil, Abdul Kosala Dwidja Purnomo Kusbudiono Kusbudiono, Kusbudiono Kusno Kusno Lukman Hariadi M Ziaul Arif, M Ziaul Maya Ayu P, Maya Ayu Moh Hasan Moh. Hasan Mohamad Hasan Purnomo, Kosala Dwija RANGGI DIAS DWI WIJAYA, RANGGI DIAS Titis Miranti, Titis Wanda Olyvia Anggraini, Wanda Olyvia