Sri Maryani
Department Of Mathematics, Jenderal Soedirman University

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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. 
Solution of the Second Order of the Linear Hyperbolic Equation Using Cubic B-Spline Collocation Numerical Method Aflakha Kharisa; Sri Maryani; Nunung Nurhayati
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.
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 ()
ANALISIS FAKTOR-FAKTOR YANG MEMPENGARUHI PENYERAPAN TENAGA KERJA DI PROVINSI JAWA TENGAH Shafa Nanda Puspita; Sri Maryani; Herry Purwantho
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.2021.13.2.4546

Abstract

Labor absorption is an important factor in supporting economic development through national income. The low level of employment is still a problem in various regions in Indonesia, especially in Central Java Province. The problem of employment, can be overcome by maximizing the factors that affect the increase in labor absorption. Therefore, it is necessary to analyze the factors that are thought to affect the increase in labor absorption. This study aims to analyze the factors that influence labor absorption in Central Java Province. This study uses a descriptive quantitative approach with a panel data regression model. The best model selection test used is the Chow test, Hausman test, and Lagrange Multiplier test (LM) Test which was carried out using the Eviews 9 software. This study uses cross section data from 35 districts/cities in Central Java Province and time series data on the number of workers, labor force, unemployment, minimum wages, and GRDP of each district/city for the 2015-2020 period. The results of the discussion show that simultaneously and partially the number of workers, the number of the workforce, the number of unemployed, the minimum wage, and GRDP have an effect on the absorption of labor in Central Java Province.
PERAMALAN GARIS KEMISKINAN DI KABUPATEN PURBALINGGA TAHUN 2021-2023 DENGAN METODE DOUBLE EXPONENTIAL SMOOTHING LINIER SATU PARAMETER DARI BROWN Dwi Anggraeni; Sri Maryani; Suseno Ariadhy
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.2021.13.2.4548

Abstract

Poverty is a major problem in a country. The Indonesian government has made various efforts to tackle the problem of poverty. The main problem faced in poverty alleviation is the large number of people living below the poverty line. Therefore, this study aims to predict the poverty line in Purbalingga Regency for the next three periods as one of the efforts that can be made by the government in poverty alleviation. The method used in this study is a one-parameter linear double exponential smoothing from Brown. The software used in this research is Zaitun Time Series and Microsoft Excel. The steps taken are determining the forecasting objectives, plotting time series data, determining the appropriate method, determining the optimum parameter value, calculating the single exponential smoothing value, calculating double exponential smoothing value, calculate the smoothing constant value, calculate the trend coefficient value and perform forecasting. Based on the calculation results, the optimum alpha parameter value is 0.7 with MAPE value of 1.67866%, which means that this forecasting model has a very good performance. The forecast value of the poverty line in Purbalingga Regency for 2021 is Rp. 396,516, in 2022 it is Rp. 417,818, and in 2023 it is Rp. 439,120.
PENGARUH MEMBATASI MOBILITAS KERETA API GUNA MENCEGAH COVID-19 DENGAN UJI-T BERPASANGAN (PAIRED SAMPLE T-TEST) Wella Ayu Sheilliarika; Sri Maryani; Hendi Efendi
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.2020.12.2.3741

Abstract

Director General of the World Health Organization (WHO) Tedros Adhanom Ghebreyesus officially announced the coronavirus (COVID-19) as a pandemic, on March 11, 2020. To prevent the spread of coronavirus in Indonesia a Work From Home (WFH) policy, Large-Scale Social Restrictions (PSBB) was made. , as well as limiting the mobility of people from one area to another. One of them is PT Kereta Api Indonesia which directly reduces the number of long-distance train trips. Because of the dangers of the coronavirus and the issuance of government policies, citizens swiftly comply with the policies that have been issued. Therefore, it is necessary to know whether there is an influence on the passenger volume of the economi class Train (KA) before and after the Covid-19. The method used for known data is the Comparative Hypothesis Test. The decision obtained was that there was an influence on the volume of economi class train passengers before and after the Covid-19.
KETAKSAMAAN CAUCHY SCHWARZ PADA RUANG HASIL KALI DALAM-2 Sri Maryani
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 1 No 1 (2009): 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.2009.1.1.2973

Abstract

Cauchy-Schwarz inequality is an important property on inner product spaces. This inequality can be generalized to 2-inner product spaces. We can be inducted a norm from those inner product spaces and then generalized that norm to 2-norm. This paper will reprove Cauchy-Schwarz inequality used positive semi definite of Gram matrix such that sub-matrix of Gram determinant is non-negative.
KETAKSAMAAN TIPE LEMAH UNTUK OPERATOR MAKSIMAL DI RUANG MORREY TAK HOMOGEN YANG DIPERUMUM Sri Maryani
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.2012.4.2.2962

Abstract

We discuss in this paper a weak type (p, p) inequality (where ) for maximal operator on generalized non homogeneous Morrey spaces. Our proof uses the result of Garcia-Cuerva dan Martell (2011).
KETAKSAMAAN TIPE LEMAH UNTUK OPERATOR MAKSIMAL DI RUANG MORREY TAK HOMOGEN YANG DIPERUMUM Sri Maryani
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 4 No 2 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2012.4.2.2962

Abstract

We discuss in this paper a weak type (p, p) inequality (where ) for maximal operator on generalized non homogeneous Morrey spaces. Our proof uses the result of Garcia-Cuerva dan Martell (2011).
KETAKSAMAAN CAUCHY SCHWARZ PADA RUANG HASIL KALI DALAM-2 Sri Maryani
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 1 No 1 (2009): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2009.1.1.2973

Abstract

Cauchy-Schwarz inequality is an important property on inner product spaces. This inequality can be generalized to 2-inner product spaces. We can be inducted a norm from those inner product spaces and then generalized that norm to 2-norm. This paper will reprove Cauchy-Schwarz inequality used positive semi definite of Gram matrix such that sub-matrix of Gram determinant is non-negative.