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All Journal Jurnal Sains dan Teknologi Science and Technology Indonesia JTAM (Jurnal Teori dan Aplikasi Matematika) Limits: Journal of Mathematics and Its Applications PRISMATIKA: Jurnal Pendidikan dan Riset Matematika Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Ulil Albab Bulletin of Applied Mathematics and Mathematics Education Joong-Ki
Guswanto, Bambang Hendriya
Jurusan Matematika, Universitas Jenderal Soedirman
Religion Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Education Environmental Science Materials Science & Nanotechnology Mathematics Physics Public Health Social Sciences Other

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SIFAT ISOMORFIK PADA OPERASI TENSOR, BINTANG, CARTESIUS, DAN MODULAR DUA GRAF FUZZY Triyani, Triyani; Guswanto, Bambang Hendriya; nurhayati, Nurhayati
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 11 No 1 (2019): JMP Edisi Juni 2019
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

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

Abstract

This article discusses about some isomorphic properties of  tensor, star, Cartesius, and modular product operations of two fuzzy graphs. The results of  research are the tensor product of two fuzzy graphs  is isomorphic, and if  and  are complete fuzzy graphs then , ,  and
Partial Fourier Transform Methods to Solve the Solution Formula of Stokes Equation in Half-Space Maryani, Sri; Zahratunnisa, Siti Fauziah; Sihwaningrum, Idha; Wardayani, Ari; Guswanto, Bambang Hendriya
JST (Jurnal Sains dan Teknologi) Vol 11, No 1 (2022)
Publisher : Universitas Pendidikan Ganesha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/jst-undiksha.v11i1.39523

Abstract

Fluids are a shape of a matter which have substance liquids, gases and plasmas. In our daily life, fluids become important part, such as part of our blood and also help our body getting nutrients. It is well known that fluid motion can be described in mathematical model in especially in form of partial differential equations (PDE) and called as Navier Stokes Equations  (NSE). The Navier Stokes equation is derived from balance of conservation of mass and conservation of momentum. In this paper, we consider the solution formula of the linearized of the Navier Stokes Equation (NSE) with the initial boundary value (IBV) problem in half space without surface tension. The model problem under consideration covers of non-linear fluid type. We solve the solution formula of velocity and density of the model problem by using Fourier transform and partial Fourier transform method. The strategy geting the solution of the model problem is based on the analysis of some resolvent of the model problem which obtained by using Laplace transform of the Stokes equations. Therefore, In particular, the formula of velocity and density of the Stokes equation are obtained.
Boundedness of Solution Operator Families for the Navier-Lame ́ Equations with Surface Tension in Whole Space Sri Maryani; Ari Wardayani; Bambang Hendriya Guswanto
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 1 (2022): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i1.6217

Abstract

In this paper, we consider the boundedness of the operator families in whole space for Navier-Lame model problem in bounded domain of N dimensional Euclidean space (N≥2). To find the boundedness of the operator families, first of all we construct model problem in the form of the resolvent problem by using Laplace transform. Then, using Fourier transform, we get the solution formula of the model problem. In this paper, we use the qualitative methods to construct solution formula of velocity (u). This step is fundamental stage to find the well-posedness of the model problem. As we known that fluid motion can be described in partial differential equation (PDE). Essential point in PDE are finding existence and uniqueness of the model problem. One methods of investigating the well-posedness is R-boundedness of the solution operator families of the model problem. We can find the R-boundedness of the solution operator families not only in whole-space, half-space, bent-half space and in general domain. In this paper we investigate the R-boundedness of the solution operator families only in whole space. By using this R-boundedness, we can find that the multipliers which form of the operator families are bounded with some positive constant. 
The half-Space Model Problem for Compressible Fluid Flow Sri Maryani; Lukman Budi Nugroho; Agus Sugandha; Bambang Hendriya Guswanto
Limits: Journal of Mathematics and Its Applications Vol 18, No 1 (2021)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v18i1.8291

Abstract

In this paper we consider the solution formula for Stokes equation system without surface tension in half-space.  More precisely, we deal with the solution of velocity and density for the model problem. This result is the basic step to estimate the solution operator of the model problem. We investigate the solution operator for the model problem in N-Dimensional Euclidean space (N>=2)In this paper we consider the solution formula for Stokes equation system without surface tension in half-space.  More precisely, we deal with the solution of velocity and density for the model problem. This result is the basic step to estimate the solution operator of the model problem. We investigate the solution operator for the model problem in N-Dimensional Euclidean space ()
Partial Fourier Transform Methods to Solve the Solution Formula of Stokes Equation in Half-Space Sri Maryani; Siti Fauziah Zahratunnisa; Idha Sihwaningrum; Ari Wardayani; Bambang Hendriya Guswanto
JST (Jurnal Sains dan Teknologi) Vol. 11 No. 1 (2022)
Publisher : Universitas Pendidikan Ganesha

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (382.102 KB) | DOI: 10.23887/jstundiksha.v11i1.39523

Abstract

Fluida adalah suatu bentuk materi yang memiliki zat cair, gas, dan plasma. Dalam kehidupan sehari-hari, cairan menjadi bagian penting, seperti bagian dari darah dan juga membantu tubuh mendapatkan nutrisi. Selain itu, beberapa fenomena lingkungan terkait erat dengan mekanika fluida. Konsep fluida membantu kita memahami perilaku fluida dengan berbagai kondisi. Telah diketahui bahwa gerak fluida dapat digambarkan dalam model matematika khususnya dalam bentuk persamaan diferensial parsial (PDE) dan disebut sebagai persamaan navier stokes (NSE). Persamaan navier stokes diturunkan dari keseimbangan kekekalan massa dan kekekalan momentum. Dalam penelitian ini mempertimbangkan rumus solusi linierisasi persamaan navier stokes (NSE) dengan masalah nilai batas awal (IBV) dalam ruang setengah tanpa tegangan permukaan. Masalah model yang dipertimbangkan meliputi jenis fluida nonlinier. Prosedur penelitian yang merupakan transformasi model masalah menggunakan transformasi fourier dari sistem persamaan yang baru. Kemudian dihitung rumus solusi dari sistem persamaan baru untuk kecepatan dan kepadatan dari masalah model dengan menggunakan metode transformasi Fourier dan transformasi fourier parsial. Strategi untuk mendapatkan solusi masalah model didasarkan pada analisis beberapa penyelesaian masalah model yang diperoleh dengan menggunakan transformasi laplace dari persamaan stokes. Oleh karena itu, secara khusus, rumus kecepatan v=(v_1,…,v_N ) dan kepadatan (x,t) dari persamaan stokes diperoleh.
APLIKASI BAHASA C++ DAN PHP UNTUK MENENTUKAN UKURAN SAMPEL PADA METODE STRATIFIED RANDOM SAMPLING Khanifudin khanifudin; Jajang Jajang; Bambang Hendriya Guswanto
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 11 No 2 (2019): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2019.11.2.2267

Abstract

The accuracy of survey results depends on sample size. So far, in determining the sample size of the stratified random sampling method, researchers still use manual calculations. Because of that, this research aims to create a sample size determination program of the stratified random sampling method using C++ and PHP programming languages. This research begins with the study of literacy, creating flowcharts and pseudocode algorithms, writing program syntax, and implementing data on the number of civil servants in each UPK in Banyumas Regency. By entering a 95% confidence level, the error limit that can be tolerated is 5, and the strata cost of each is 1, the minimum sample size is 60 with the 1st and 2nd strata sample sizes is 45 and 15. The program is expected to help researchers to determine sample size more easily. So far, the program also minimizes errors in calculations because a warning will appear when an error occurs.
SIFAT ISOMORFIK PADA OPERASI TENSOR, BINTANG, CARTESIUS, DAN MODULAR DUA GRAF FUZZY Triyani Triyani; Bambang Hendriya Guswanto; Nurhayati nurhayati
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 11 No 1 (2019): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2020.12.1.1935

Abstract

This article discusses about some isomorphic properties of tensor, star, Cartesius, and modular product operations of two fuzzy graphs. The results of research are the tensor product of two fuzzy graphs is isomorphic, and if and are complete fuzzy graphs then , , and . Full Article
THE ANALYSIS OF MULTIDIMENSIONAL ANOMALOUS DIFFUSION EQUATION Bambang Hendriya Guswanto
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 10 No 1 (2018): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2018.10.1.2838

Abstract

We discuss the properties of the fundamental solution of multidimensional anomalous diffusion equation such as symmetric, decay, nonnegative, normality, and bounded in mathematical analysis approach.
PEMECAHAN MASALAH KINEMATIKA KE DEPAN PADA TANGAN ROBOT n-SEGMEN Bambang Hendriya Guswanto; Alisya Masturoh; Triyani Triyani
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 12 No 1 (2020): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2020.12.1.2825

Abstract

This article discusses a forward kinematics space for a robot’s hand with n arms in two dimensional Euclid space. The kinematics space of the robot’s hand is obtained by employing some geometrical transformations, those are rotation and dilatation. The solution of this problem is represented by a function corresponding a set of pairs of hinge configuration with a set of pairs of robot’s position and hand endpoint direction.
THE EXISTENCE AND UNIQUENESS OF THE MILD SOLUTION TO A NONLINEAR CAUCHY PROBLEM ASSOCIATED WITH A NONLOCAL REACTION-DIFFUSION SYSTEM Bambang Hendriya Guswanto; Mohd. Ariff Bin Admon; Nur Natasha Binti Lim Boon Chye
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 11 No 2 (2019): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2019.11.2.2264

Abstract

We study the existence and uniqueness of a mild solution to a nonlinear Cauchy problem associated with a nonlocal reaction diffusion system by employing the properties of analytic semigroup operator generated by the linear part of the problem which is sectorial and then applying Banach Fixed Point Theorem to the problem. We show that the problem has a unique mild solution under a Lipschitz condition on the nonlinear part of the problem. An example as an application of the result obtained is also given.
Co-Authors Abd. Rasyid Syamsuri Agung Prabowo Agung Prabowo agus sugandha Agus Sugandha Agus Sugandha Agustini Tripena Alisya Masturoh Alisya Masturoh Ari Wardayani Ari Wardayani, Ari Dian Linawati Fitri Ferianti Marfungah Hiroaki Kuze Hitoshi Irie Idha Sihwaningrum Idha Sihwaningrum Jajang Jajang Jamrud Aminuddin Khanifudin khanifudin Kiran Nirmala Achfasarty Laras Toersilowati Leony Rhesmafiski Andini Lukman Budi Nugroho Mashuri Mashuri Mashuri Mashuri Mashuri Mashuri Mashuri Mohd. Ariff Bin Admon Nadya Novika Nur Natasha Binti Lim Boon Chye Nurhayati Nurhayati Nurul Azizah Baisaku Raden Farzand Abdullatif Sehah Sehah Siti Fauziah Zahratunnisa slamet riyadi Soni Aulia Rahayu Sri Maryani Sri Maryani Sri Maryani Suroto Suroto Suroto suroto Triyani Triyani Triyani Triyani Triyani Triyani Yiyi Fikri Nurizki Zahratunnisa, Siti Fauziah