Claim Missing Document
Check
Articles

Found 23 Documents
Search

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. 
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.
RING MATRIKS ATAS RING KOMUTATIF Achmad Abdurrazzaq; Ari Wardayani; Suroto Suroto
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 7 No 1 (2015): 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.2015.7.1.2895

Abstract

This paper discusses a matrices over a commutative ring. A matrices over commutative rings is a matrices whose entries are the elements of the commutative ring. We investigates the structure of the set of the matrices over the commutative ring. We obtain that the set of the matrices over the commutative ring equipped with an addition and a multiplication operation of matrices is a ring with a unit element.
KONSEP DASAR HIPERGRAF DAN SIFAT-SIFATNYA Faiq Fauziya Putri; Triyani Triyani; Ari Wardayani
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 12 No 2 (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.2020.12.2.3619

Abstract

This article discusses fundamental properties of hypergraphs. Hypergraphs are generalization of graph which hyperedges, edges in hypergraph, can join more than two vertices. The fundamental properties in this article are the vertices degrees, connection in hypergraphs, and dual hypergraph. connectivity in hypergraphs in this article are walks, trails, strict trails, path, and cycles. In the end of this article, we present a few examples of problems that can be represented by hypergraph.
SOME PROPERTIES OF SUBSEMIHYPERGROUPS Ari wardayani; Mitha Cerinda; Idha Sihwaningrum; Mutia nur Estri; Wuryatmo Ahmad Sidik
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 13 No 2 (2021): 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.2021.13.2.4905

Abstract

In this paper we will present two properties of subsemihypergroups. The first property is a relation between subsemihypergroups and semihypergroup. This property enable us to get the second property, which provides a relation between subsemihypergroups and regular semihypergroups.
GARIS DI LAPANGAN HIMPUNAN BILANGAN BULAT MODULO 17 Denni Hariati Sinaga; Idha Sihwaningrum; Ari Wardayani
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 5 No 1 (2013): 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.2013.5.1.2911

Abstract

n this paper we discuss rational trigonometry in the field F17 ,in particular point, lines and their properties. A unique property in this field is given by the null lines.
SUBGRUP FUZZY ATAS SUATU GRUP Fatkhur Rozi; Ari Wardayani; Suroto Suroto
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 6 No 1 (2014): 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.2014.6.1.2901

Abstract

This paper discusses a fuzzy subgroup of a classical group. It’s constructed by defining fuzzy subsets and employing products and inverse notions on classical group. The result obtained is sufficient and necessary conditions for the fuzzy subset to be fuzzy subgroup.
MODUL FAKTOR YANG DIBENTUK DARI SUBMODUL Z^2 PADA MODUL R^2 ATAS GAUSSIAN INTEGERS Ari Wardayani
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 4 No 2 (2012): 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.2012.4.2.2964

Abstract

We prove that ℝ2 is module over Gaussian Intergers and the set of all coset of submodule in module ℝ2 over Gaussian Integers is a quotient module. We find the proof by showing that ℝ2 is both a right module and a left module over Gaussian Integers and showing that the set of all coset of submodule in module ℝ2 is both a right module and a left module over Gaussian Integers.
SEMIGRUP REGULER DAN SIFAT-SIFATNYA Najmah Istikaanah; Ari Wardayani; Renny Renny; Ambar Sari Nurahmadhani; Agustini Tripena Br. Sb.; Triyani Triyani
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 13 No 2 (2021): 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.2021.13.2.4968

Abstract

This article discusses some properties of regular semigroups. These properties are especially concerned with the relation of the regular semigroups to ideals, subsemigroups, groups, idempoten semigroups and invers semigroups. In addition, this paper also discusses the Cartesian product of two regular semigroups. Keywords:ideal, idempoten semigroup, inverse semigroup, regular semigroup, subsemigroup.
SEMI MODUL POLINOMIAL FUZZY ATAS ALJABAR MAX-PLUS FUZZY Ari Wardayani; Suroto Suroto
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 3 No 1 (2011): 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.2011.3.1.2968

Abstract

In this paper, we discuss the extension of fuzzy max-plus algebra on polynomial with coefficient in fuzzy number. We also proof that fuzzy polynomial is semi modul over fuzzy max-plus algebra.