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Journal : JTAM (Jurnal Teori dan Aplikasi Matematika)

Biplot Analysis Methods for Selecting the Consumer's Preferences of Primary Needs in Java Island Indonesia Jajang, Jajang; Supriyanto, Supriyanto; Maryani, Sri; Bawono, Icuk Rangga; Novandari, Weni; Gunawan, Diah Setyorini; Naufalin, Rifda
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 8, No 3 (2024): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v8i3.22264

Abstract

The effect of COVID-19 pandemic in February 2020 had changingchanged human consumption pattern. Most people especially for lower and middle communitycommunities, they only be able to fulfils the primary needs. The COVID-19 pandemic had been made some companies done a work termination. Therefore, people is required to sort out and choose needs that are on a priority scale. This article used biplot methods to analyze behavior of the consumers consumer's primary needs during the COVID-19 pandemic. Respondents number of this research are 100 respondents from 4 districts in Java Island who filled out the questioner. In some references, biplot analysis methods focus on agriculture field such as determining the best genotypes and habitats of plants. Rarely of them cosider in economic point of view for example in consumers’ preferences. As we known that biplot analysis is a valuable technique for identifying environtmental condition. It is superior to other statistical methodologies because of its superior predictive accuracy. This method represent a grapics of multivariate data that plot information between the observation and variables in cartesian coordinates. Therefore, the goal of this study examines the consumers' preferences in the Java Island, Indonesia, using biplot analysis to assess preferences of primary needs such rice, cooking oil and margarine in four districts, Bekasi, Madiun, Tasikmalaya, Banyumas, in Java Island were conducted. Regarding to the result of principal component analysis, it shows that consumers have same priority to choose the brand of the cooking oil. It was shown from score of PC1 and PC2 values. The result provide helpful information about the consumer preferences of primary needs during COVID-19 from four districts in Java Island.  
Partial Fourier Transform Method for Solution Formula of Stokes Equation with Robin Boundary Condition in Half-space Maryani, Sri; Suhada, Dede Bagus; Guswanto, Bambang Hendriya
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 8, No 1 (2024): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v8i1.16917

Abstract

The area of applied science known as fluid dynamics studied how gases and liquids moved. The motion of the fluid in the liquid and vapour phases is described by a special system of partial differential equations. The research purpose of this article investigated the solution formula of incompressible Stokes equation with the Robin boundary condition in half-space case. The solution formula for Stokes equation was calculated using the partial Fourier transform. This calculation was carried out over the Weis’s multipliers theorem. Our calculation showed that the solution formula of Stokes equation with Robin boundary condition in half-space for velocity and pressure were contained multipliers as due to work Shibata & Shimada. Due to our consideration of the half-space situation, the partial Fourier transform approach is the most appropriate one to use to get the velocity and pressure for the Stokes equation with Robin boundary condition. Furthermore, research methods in this article, in the first stage, we use the resolvent problem of the model. Secondly, we apply the partial Fourier transform to the model problem and finally, we use inverse partial Fourier transform to get the solution formula of the incompressible type of Stokes equation for velocity and pressure. This result indicates that Weis' multiplier theorem also allows us to find the local well-posedness of the model problem in addition to the maximal Lp-Lq regularity class (Gerard-Varet et al., 2020).
Boundedness of Solution Operator Families for the Navier-Lame ́ Equations with Surface Tension in Whole Space Maryani, Sri; Wardayani, Ari; Guswanto, Bambang Hendriya
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. 
Solution of the Second Order of the Linear Hyperbolic Equation Using Cubic B-Spline Collocation Numerical Method Kharisa, Aflakha; Maryani, Sri; Nurhayati, Nunung
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 2 (2022): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i2.7496

Abstract

Wave equation is one of the second order of the linear hyperbolic equation. Telegraph equation as a special case of wave equation has interesting point to investigate in the numerical point of view. In this paper, we consider the numerical methods for one dimensional telegraph equation by using cubic B-spline collocation method. Collocation method is one method to solve the partial differential equation model problem. Cubic spline interpolation is an interpolation to a third order polynomial. This polynomial interpolate four point. B-Spline is one of spline function which related to smoothness of the partition. For every spline function with given order can be written as linear combination of those B-spline. As we known that the result of the numerical technique has difference with the exact result which we called as, so that we have an error. The numerical results are compared with the interpolating scaling function method which investigated by Lakestani and Saray in 2010. This numerical methods compared to exact solution by using RMSE (root mean square error), L2 norm error and L_∞ norm error . The error of the solution showed that with the certain function, the cubic collocation of numerical method can be used as an alternative methods to find the solution of the linear hyperbolic of the PDE. The advantages of this study, we can choose the best model of the numerical method for solving the hyperbolic type of PDE. This cubic B-spline collocation method is more efficiently if the error is relatively small and closes to zero. This accuration verified by test of example 1 and example 2 which applied to the model problem.
Co-Authors - Ardiansyah, - -, Lolytasari Ali, Waleed Amil, Amil Arfah, Arfah Ari Wardayani, Ari Ariadhy, Suseno Arrahman, Rudi Artawan Gede Astriani, Aveny Septi Bukman Lian, Bukman Cahyo, Bagas Dwi Dewi Rosanti, Dewi Diah Setyorini Gunawan Dian Mutiara, Dian Dwi Anggraeni Dwi Rohman Soleh, Dwi Rohman Ekowati Retnaningsih Ertinawati, Yuni Erwin Erwin Fertilita, Soilia Guswanto, Bambang Hendriya Hakim, Fikri Halim, Nurfadhlina Abdul Hamdi Hamdi Hendi Efendi, Hendi Husnul, Nisatami Ichsan Fauzi Rachman Icuk Rangga Bawono, Icuk Rangga Idha Sihwaningrum Jajang Jajang Jamilah, Ai Siti Nur Juwita, Diana karenina, Tili Kharisa, Aflakha Kulsum, Dewi Ummu Kusumasari, Wardany Larasti, Veny Limbar Jaya, Futu Widiana Mariani, Dini Martha Nengah Mufreni, Sadr Lufti Mugi Lestari, Mugi Mulki Indana Zulfa, Mulki Indana Munawwaroh, Zahrotul Neni Marlina Novriadhy, Dian Nunung Nurhayati Nunung Nurjanah Nurjamilah, Ai Siti Nurmiwati, Nurmiwati Nuryanto Nuryanto Oom Komalasari Pardomuan Robinson Sihombing Parji Parji Patimah, Siti Papat Pitrianti, Siti Primasari, Dwi Ammelia Galuh Purwantho, Herry Puspita, Shafa Nanda Qonitah Faizatul Fitriyah Rahman, Ichsan Fauzi Reni Oktarina Rifda Naufalin Rizqi, Safina Sabila ROHANA ROHANA Rusdi Machrizal Sardjono, Herning Suryo Sheilliarika, Wella Ayu Suhada, Dede Bagus Sulasih Sulasih Suparmanto Supriyanto Supriyanto Suroto Suroto Suwardi Suwardi Suyasa, Made Thursina, Mulyani Titin Setiartin, Titin Triyanna Widiyaningtyas Weni Novandari Wijayanto, Danur Wulandari, Ratna Rizky Yasinta, Tia Yayat Suryati Yogaswara, Angga Zaenafi, Zaenafi Zahratunnisa, Siti Fauziah