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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Abdimas UNEJ e-Proceeding Majalah Ilmiah Matematika dan Statistika (MIMS)
M Ziaul Arif, M Ziaul
Department Of Mathematics, Faculty Of Sciences, University Of Jember
Arts Humanities Education Mathematics Social Sciences

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Modified Chebyshev Collocation Method for Solving Differential Equations Arif, M Ziaul; Kamsyakawuni, Ahmad; Halikin, Ikhsanul
CAUCHY Vol 3, No 4 (2015): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (787.664 KB) | DOI: 10.18860/ca.v3i4.2923

Abstract

This paper presents derivation of alternative numerical scheme for solving differential equations, which is modified Chebyshev (Vieta-Lucas Polynomial) collocation differentiation matrices. The Scheme of modified Chebyshev (Vieta-Lucas Polynomial) collocation method is applied to both Ordinary Differential Equations (ODEs) and Partial Differential Equations (PDEs) cases. Finally, the performance of the proposed method is compared with finite difference method and the exact solution of the example. It is shown that modified Chebyshev collocation method more effective and accurate than FDM for some example given.
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)
A Zero Crossing-Virus Evolutionary Genetic Algorithm (VEGA) to Solve Nonlinear Equations M. Ziaul Arif; Zainul Anwar; Ahmad Kamsyakawuni
UNEJ e-Proceeding 2016: Proceeding The 1st International Basic Science Conference
Publisher : UPT Penerbitan Universitas Jember

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

Abstract

Nonlinear equation is a mathematical problem that is quite difficult to solve. Its analytic solution is not easily discovered. There are several methods used to solve nonlinear equations and the obtained results is in the form of approximation to the analytical solution. Most of the numerical method need appropriate initial value to perform the accuration of the method. However, it will diverge if the initial value is inappropriate. Therefore, we propose discovering the solutions of nonlinear equations by applying metaheuristic methods. In this paper, we present the virus Evolutionary Genetic Algorithm (VEGA) combined with Zero Crossing Method at an early stage to solve nonlinear equations. This study was conducted to test the performance and accuracy of the combined both of the method by providing some examples.
PENGEMBANGAN KUALITAS GURU-GURU SMA DAN MA BERBASIS PONDOK PESANTREN KOTA JEMBER MELALUI PELATIHAN PEMBUATAN VIDEO TUTORIAL PEMBELAJARAN M. Ziaul Arif; Abduh Riski; Dian Anggraeni
Jurnal Abdimas Vol 22, No 1 (2018): June 2018
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/abdimas.v22i1.12612

Abstract

Teknologi mulai berpengaruh pada sistem pendidikan. Seiring dengan perkembangnya ilmu pengetahuan dan teknologi komputerisasi dan internet, lebih khusus pada perangkat lunak atau aplikasi, maka baik langsung maupun tidak langsung dunia pendidikan juga merasakan dampaknya. Guru yang mempunyai peran penting dalam dunia pendidikan harus selalu tanggap dan peka terhadap berbagai perkembangan yang terjadi di sekelilingnya. Proses pembelajaran merupakan proses komunikasi dan berlangsung dalam suatu sistem, maka media dan perangkat pembelajaran menempati posisi yang cukup penting sebagai salah satu komponen sistem pembelajaran. Tanpa media, komunikasi tidak akan terjadi dan proses pembelajaran sebagai proses komunikasi juga tidak akan bisa berlangsung secara optimal. Pengoptimalan pembelajaran dapat dilakukan dengan menggunakan media pembelajaran yang uptodate. Oleh karena itu, disini diperkenalkan metode pembelajaran berbasis video tutorial langkah demi langkah dalam menyelesaikan suatu soal pelajaran  SMA baik secara online maupun offline melalui IbM SMA dan MA berbasis pondok pesantren di kota Jember dengan cara melaksanakan workshop dan bimbingan intensif pembuatan video tutorial pembelajran kepada guru-guru SMA dan MA Unggulan NURIS Jember dan SMA Unggulan dan MA Daruh Sholah Jember. Dari hasil kegiatan didapatkan bahwa guru-guru sudah mampu membuat video tutorial pembelajaran secara baik dan mandiri..
Co-Authors Abduh Riski Ahmad Kamsyakawuni Azmi, Ana Ulul Dian Anggraeni Ikhsanul Halikin, Ikhsanul Rusli Hidayat Zainul Anwar